bluuebunny/crossref_metadata_2025 huggingface dataset:
KLEIN-GORDON-LANGEVIN QUANTUM GEOMETRY
Authors: VANDERSEYPEN F.
Published: November 2004

We present a quantum geometric framework for stochastic quantization in the case of a free Klein-Gordon field on Euclidean space. In this approach the noise is part of the background space, space-time is fuzzy. We extend the notion of sharp point limit and show how fuzzy space-time and the Klein-Gordon field gives the Euclidean space and the stochastically quantized Klein-Gordon field respectively.
EFFECTIVE LAGRANGIAN FOR b→s PROCESSES WITH QCD-CORRECTIONS
Authors: ADEL K. , YAO YORK-PENG
Published: November 2004

We present a complete calculation of the effective Lagrangian for b→s processes with QCD corrections, in the leading logarithm approximation, for the cases mt=mw and mt≫mw. The effective Lagrangian is then applied to estimate the b→sγ decay rate. We find that it is enhanced by a factor of 6 for the case mt=mw, and a factor of about 2 for mt≫mw. Our results differ from those found in the literature, but are not very different numerically. Also from our results, we infer that the higher-dimensional QCD effects are under control to about 15% level for the Wilson coefficients.
QED RADIATIVE CORRECTIONS TO THE DECAY π0→e+e−
Authors: TRIANTAPHYLLOU GEORGE
Published: November 2004

In view of the recent interest in the decays of mesons into a pair of light leptons, a computation of the QED radiative corrections to the decay of π0 into an electron-positron pair is presented here. The analysis is based on the soft-photon resummation method, which, unlike first-order perturbation theory, allows for very strict invariant-mass cuts on the final electrons. When combined with the theoretical estimates for the non-radiatively corrected decay rate, the results of the present paper could help to determine if new physics affect this decay.
COHERENT STATES WITHOUT GROUPS: QUANTIZATION ON NONHOMOGENEOUS MANIFOLDS
Authors: KLAUDER JOHN R.
Published: November 2004

A wide class of single-variable holomorphic representation spaces are constructed that are associated with very general sets of coherent states defined without the use of transitively acting groups. These representations and states are used to define coherent-state path integrals involving phase-space manifolds having one Killing vector but a quite general curvature otherwise.
COVARIANT AND NONCOVARIANT GAUGE TRANSFORMATIONS FOR THE CONFORMAL PARTICLE
Authors: GRÀCIA XAVIER , ROCA JAUME
Published: November 2004

A gauge-invariant conformal particle model is studied. Its Lagrangian gauge transformations are obtained in a covariant way using a kind of canonical generator. On the other hand, the Hamiltonian transformations cannot be written in a covariant form despite the covariance of the Hamiltonian constraints.
FREE FIELD REPRESENTATION OF THE N=3 SUPERCONFORMAL ALGEBRA FROM HAMILTONIAN REDUCTION OF osp(3|2) AFFINE LIE SUPERALGEBRA
Authors: FUJITSU AKIRA
Published: November 2004

We have constructed the free field representation of the N=3 superconformal algebra with an arbitrary value of the central charge c by using Hamiltonian reduction of the osp (3|2) Lie superalgebra without BRST gauge-fixing procedure.
HANDLE OPERATORS OF COSET MODELS
Authors: CRESCIMANNO MICHAEL
Published: November 2004

Several interesting features of coset models “without fixed points” are easily understood via Chern-Simons theory. In this paper we derive explicit formulae for the handle-squashing operator in these cosets. These operators are fixed, linear combinations of the irreducible representations of the coset. As a simple application of these curious formulae, we compute the traces of all genus-one operators for several common cosets.
DISORIENTED CHIRAL CONDENSATE IN (1+1) LORENTZ-INVARIANT GEOMETRY
Authors: KHLEBNIKOV S. YU.
Published: November 2004

We consider isospin correlations of pions produced in a relativistic nuclear collision, using an effective theory of the chiral order parameter. Our theory has (1+1) Lorentz invariance as appropriate for the central rapidity region. We argue that in certain regions of space correlations of the chiral order parameter are described by the fixed point of the (1+1) WZNW model. The corresponding anomalous dimension determines scaling of the probability to observe a correlated cluster of pions with the size of this cluster in rapidity. Though the maximal size of clusters for which this scaling is applicable is cutoff by pion mass, such clusters can still include sufficiently many particles to make the scaling observable.
PARITY VIOLATION AND THE MEAN FIELD APPROXIMATION FOR THE ANYON GAS
Authors: CAENEPEEL DIDIER , MACKENZIE RICHARD
Published: November 2004

We examine an approach to justifying the mean field approximation for the anyon gas, using the scattering of anyons. Parity violation permits a nonzero average scattering angle, from which one can extract a mean radius of curvature for anyons. If this is larger than the interparticle separation, one expects that the graininess of the statistical magnetic field is unimportant, and that the mean field approximation is good. We argue that a non-conventional interaction between anyons is crucial, in which case the criterion for validity of the approximation is identical to the one deduced using a self-consistency argument.
TIME VARIATION OF SOLAR NEUTRINO FLUX
Authors: RAYCHAUDHURI PROBHAS
Published: November 2004

Considering the solar neutrino data during the period from June, 1989 to April, 1992 within first sunspot maximum (it coincides with the maximum of the sunspot (Wolf numbers) and second sunspot maximum (usually appears 2–3 years after the first sunspot maximum) from the four solar neutrino experiments (37 Cl radiochemical, SAGE I & II, Gallex, Kamiokande II & III) we see that the average solar neutrino flux is much higher at the second sunspot maximum (May, 1991 to April, 1992) than at the first sunspot maximum (June, 1989 to April, 1991). This type of observation is already observed in the previous two solar activity cycles in 37 Cl solar neutrino experiment. It has been known for many years that first sunspot maximum and second sunspot maximum are essential features of the solar activity cycle. The above observation suggests that the solar neutrino flux data from the solar neutrino experiments appear to be varying with the solar activity cycle which suggests that the solar activity cycle is due to the pulsating character of the nuclear energy generation inside the core of the Sun.
PARAMETRIC SPINOR APPROACH TO GRAVITY
Authors: PERJÉS ZOLTÁN
Published: November 2004

It is shown that the gravitational field in general relativity has the properties of a parametric manifold, a mathematical structure generalizing the concept of gauge fields. A theory of parametric spinors is developed which contains, as a limiting case, spinor fields of unitary groups in Riemannian manifolds. Transition from the familiar [Formula: see text] spinor formalism to the parametric picture makes it possible to obtain a reparametrization-invariant decomposition of the gravitational equations with respect to a non-null congruence. This new formulation of the relativistic field equations appears to be amenable to canonical quantization, and provides more versatility in the treatment of phase-space variables.
BRST STRUCTURE AND AUXILIARY FIELDS OF SIMPLE SUPERGRAVITY
Authors: ANTUNOVIĆ Ž. , BLAGOJEVIĆ M. , VUKAŠINAC T.
Published: November 2004

A generalized Lagrangian BRST formalism is used to study the quantum structure of the simple supergravity, whose classical gauge algebra is not closed. It is shown that in this approach one can naturally introduce a set of auxiliary fields as certain combinations of ghosts and antifields, so that the resulting theory has the closed classical gauge algebra.
SELF-INTERACTING SCALAR FIELDS ON SPACE-TIME WITH COMPACT HYPERBOLIC SPATIAL PART
Authors: BYTSENKO ANDREI , KIRSTEN KLAUS , ODINTSOV SERGEI
Published: November 2004

We calculate the one-loop effective potential of a self-interacting scalar field on the space-time of the form ℝ2×H2/Γ. The Selberg trace formula associated with a co-compact discrete group Γ in PSL(2, ℝ) (hyperbolic and elliptic elements only) is used. The closed form for the one-loop unrenormalized and renormalized effective potentials is given. The influence of non-trivial topology on curvature induced phase transitions is also discussed.
SHOULD THE RENEWED TAU MASS VALUE 1777 MeV BE TAKEN SERIOUSLY?
Authors: KOIDE YOSHIO
Published: November 2004

It is pointed out that the renewed value of tau mass, mr=1777 MeV, is in excellent agreement with the prediction mr=1776.97 MeV from a charged lepton mass formula based on an SU(3)-family nonet scheme. As an extension of the scenario, neutrino mixing angles, [Formula: see text]and so on, are speculated.
A GENERAL SOLUTION OF THE BV-MASTER EQUATION AND BRST FIELD THEORIES
Authors: DAYI ÖMER F.
Published: November 2004

For a class of first order gauge theories it was shown that the proper solution of the BV-master equation can be obtained straightforwardly. Here we present the general condition which the gauge generators should satisfy to conclude that this construction is relevant. The general procedure is illustrated by its application to the Chern-Simons theory in any odd dimension. Moreover, it is shown that this formalism is also applicable to BRST field theories when one replaces the role of the exterior derivative with the BRST charge of first quantization.
NEW SUPERSYMMETRIZATIONS OF THE GENERALIZED KdV HIERARCHIES
Authors: FIGUEROA-O’FARRILL JOSÉ M. , STANCIU SONIA
Published: November 2004

Recently we investigated a new supersymmetrization procedure for the KdV hierarchy inspired in some recent work on supersymmetric matrix models. We extend this procedure here for the generalized KdV hierarchies. The resulting supersymmetric hierarchies are generically nonlocal, except for the case of Boussinesque which we treat in detail. The resulting supersymmetric hierarchy is integrable and bi-Hamiltonian and contains the Boussinesque hierarchy as a subhierarchy. In a particular realization, we extend it by defining supersymmetric odd flows. We end with some comments on a slight modification of this supersymmetrization which yields local equations for any generalized KdV hierarchy.
CANONICAL TREATMENT OF TWO-DIMENSIONAL GRAVITY AS AN ANOMALOUS GAUGE THEORY
Authors: FUJIWARA T. , TABEI T. , IGARASHI Y. , MAEDA K. , KUBO J.
Published: November 2004

The extended phase space method of Batalin, Fradkin and Vilkovisky is applied to formulate two-dimensional gravity in a general class of gauges. A BRST formulation of the light-cone gauge is presented to reveal the relationship between the BRST symmetry and the origin of SL (2, ℝ) current algebra. From the same principle we derive the conformal gauge action suggested by David, Distler and Kawai.
INTERACTION OF d=2, c=1 DISCRETE STATES FROM STRING FIELD THEORY
Authors: AREF’EVA I. YA. , MEDVEDEV P.B. , ZUBAREV A.P.
Published: November 2004

Starting from string field theory for 2D gravity coupled to c=1 matter we analyze the off-shell tree amplitudes of discrete states. The amplitudes exhibit the pole structure and we use the off-shell calculus to extract the residues and prove that only the residues are constrained by the Ward identities. The residues generate a simple effective action.
TWO-DIMENSIONAL YANG-MILLS THEORIES ARE STRING THEORIES
Authors: NACULICH STEPHEN G. , RIGGS HAROLD A. , SCHNITZER HOWARD J.
Published: November 2004

We show that two-dimensional SO (N) and Sp (N) Yang-Mills theories without fermions can be interpreted as closed string theories. The terms in the 1/N expansion of the partition function on an orientable or nonorientable manifold ℳ can be associated with maps from a string worldsheet onto ℳ. These maps are unbranched and branched covers of ℳ with an arbitrary number of infinitesimal worldsheet cross-caps mapped to points in ℳ. These string theories differ from SU (N) Yang-Mills string theory in that they involve odd powers of 1/N and require both orientable and nonorientable worldsheets.
DIRAC SPINOR IN A NONSTATIONARY GÖDEL-TYPE COSMOLOGICAL UNIVERSE
Authors: VILLALBA VÍCTOR M.
Published: November 2004

In this letter we solve, via separation of variables, the massless Dirac equation in a nonstationary rotating, causal Gödel-type cosmological universe, having a constant rotational speed in all the points of the space. We compute the frequency spectrum. We show that the spectrum of massless Dirac particles is discrete and unbounded.
SYMMETRIES OF THE RENORMALIZATION GROUP EQUATIONS AND THE SCALING LAW REVISITED
Authors: JHA P. K. , TRIPATHY K. C.
Published: November 2004

The symmetry associated with the renormalization group equation satisfied by the Wilson coefficients in the operator product expansion of the electromagnetic current in deep inelastic scattering is re-examined using Blueman-Cole-Obsiannikov-Olver program. It is shown that the system exhibits infinite-dimensional symmetry. From the characteristics, we derive the detailed solutions of the renormalization group equation and the scaling laws for Wilson moments.
q-TENSOR METHOD OF DETERMINING IRREDUCIBLE REPRESENTATION OF QUANTUM ALGEBRA SUq(3)
Authors: YANG YAPING , YU ZURONG
Published: November 2004

In this paper, we construct irreducible q-tensor operators of rank [Formula: see text] of quantum algebra SU q(2) using the generators of quantum algebra SU q(3). By means of property of q-tensor operator, we can easily obtain irreducible representation (IR) of SU q(3). A recurrent formula to calculate reduced coefficients of SU q(3) is obtained and the multiplicity of reduced coefficients is discussed.
DASHEN-FRISHMAN CONFORMAL POINTS FOR FERMIONIC THIRRING MODEL FROM AFFINE-VIRASORO CONSTRUCTION
Authors: SOLOVIEV OLEG A.
Published: November 2004

The non-Abelian fermionic Thirring model with a general four-fermionic interaction is shown to possess non-trivial conformal points which are the solutions of the affine-Virasoro construction.
GENERALIZED MIURA TRANSFORMATIONS, TWO-BOSON KP HIERARCHIES AND THEIR REDUCTION TO KdV HIERARCHIES
Authors: ARATYN H. , FERREIRA L. A. , GOMES J. F. , MEDEIROS R. T. , ZIMERMAN A. H.
Published: November 2004

Bracket preserving gauge equivalence is established between several two-boson generated KP type of hierarchies. These KP hierarchies reduce under symplectic reduction (via Dirac constraints) to KdV, mKdV and Schwarzian KdV hierarchies. Under this reduction the gauge equivalence takes the form of the conventional Miura maps between the above KdV type of hierarchies.
STRING VARIATIONS ON KALUZA-KLEIN COSMOLOGY
Authors: OSORIO M.A.R. , VÁZQUEZ-MOZO M.A.
Published: November 2004

We study the cosmological solutions of the two-dimensional Brans-Dicke equations considering a gas of c=1 strings in S1×ℝ as the source of the gravitational field. We also study the implications of the R-duality invariance on the solutions. To this purpose we conjecture that, as it happens for massless fields in finite boxes, the free energy of a gas of massless string excitations is not given by the corresponding toroidal compactification.
HIGHER ORDER CALCULATIONS IN RENORMALIZATION GROUP APPROACH TO MATRIX MODELS
Authors: ITOH YUKIHISA
Published: November 2004

We study higher order approximations in the renormalization group approach to matrix models. We use constraint equations on the free energy resulting from a freedom of field redefinitions and obtain the effective beta function for a single coupling constant to the fifth order. The fixed point and the string susceptibility exponent are shown to approach the values obtained in the exact solution as the order of approximations becomes higher.
THREE-LOOP CALCULATION OF THE ANYONIC FULL CLUSTER EXPANSION
Authors: EMPARAN R. , BASAGOITI M.A. VALLE
Published: November 2004

We calculate the perturbative correction to every cluster coefficient of a gas of anyons through second order in the anyon coupling constant, as described by Chern-Simons field theory.
LIOUVILLE THEORY: QUANTUM GEOMETRY OF RIEMANN SURFACES
Authors: TAKHTAJAN LEON A.
Published: November 2004

Inspired by Polyakov’s original formulation1,2 of quantum Liouville theory through functional integral, we analyze perturbation expansion around a classical solution. We show the validity of conformal Ward identities for puncture operators and prove that their conformal dimension is given by the classical expression. We also prove that the total quantum correction to the central charge of Liouville theory is given by one-loop contribution, which is equal to 1. Applied to the bosonic string, this result ensures the vanishing of total conformal anomaly along the lines different from those presented by KPZ3 and Distler-Kawai.4
ADIABATIC ROTATION FOR THE SKYRMIONS
Authors: MA ZHONG-SHUI
Published: November 2004

We study the electromagnetic properties of the skyrmions of the O(3) nonlinear sigma model in (2+1) dimensions coupled with the Chern-Simons field by the adiabatic rotation procedure. It is shown that there is no Poynting vector for the skyrmion configuration and the Chern-Simons gauge field. In the process, an explicit derivation of the angular momentum is presented, which connects with the fractional statistics for the skyrmions.
ON THE MULTILEVEL GENERALIZATION OF THE FIELD-ANTIFIELD FORMALISM
Authors: BATALIN I.A. , TYUTIN I.V.
Published: November 2004

The multilevel geometrically covariant generalization of the field-antifield BV formalism is suggested. The structure of quantum generating equations and hypergauge conditions is studied in details. The multilevel formalism is established to be physically equivalent to the standard BV version.
QUANTUM THEORY OF WORMHOLES
Authors: GONZÁLEZ-DÍAZ PEDRO F.
Published: November 2004

We re-explore the effects of multiply-connected wormholes on ordinary matter at low energies. It is obtained that the path integral that describes these effects is given in terms of a Planckian probability distribution for the Coleman α-parameters, rather than a classical Gaussian distribution law. This implies that the path integral over all low-energy fields with the wormhole effective interactions can no longer vary continuously, and that the quantities α2 are interpretable as the momenta of a quantum field. Using the new result that, rather than being given in terms of the Coleman-Hawking probability, the Euclidean action must equal negative entropy, the model predicts a very small but still nonzero cosmological constant and quite reasonable values for the pion and neutrino masses. The divergence problems of Euclidean quantum gravity are also discussed in the light of the above results.
ON THE SEARCH FOR THE SCISSORS MODE
Authors: NOJAROV ROLAND , FAESSLER AMAND
Published: November 2004

Results from quasiparticle RPA calculations on 1+ excitations in deformed nuclei, including M1 transition densities and (e, e′) form factors, are compared to the microscopic representation of the scissors state of the two-rotor model. Although this state is too collective, especially in heavy nuclei, it fragments mainly over the low lying orbital M1 excitations, which can be interpreted as a manifestation of a weakly collective scissors mode. The experimentally observed strongest M1 excitation has the same leading components in the wave function as the scissors state, the largest overlap with it, and similar transition density and form factor. Although the scissors mode is more pronounced in heavy deformed nuclei, the strong low lying orbital M1 excitations in lighter nuclei represent a better approximation to it, because the scissors state is less collective in light nuclei.
SHAPE EIGENSTATES AND OTHER ONE- AND TWO-DIMENSIONAL ALPHA-CLUSTER STRUCTURES IN LIGHT NUCLEI
Authors: RAE W.D.M. , MERCHANT A.C.
Published: November 2004

The recent experimental discovery of a shape eigenstate in 24 Mg has inspired calculations for one- and two-dimensional alpha-cluster configurations in a wide range of light nuclei. We review the alpha-cluster and heavy-ion resonance data available for A=4N nuclei from 12 C through 28 Si which indicate likely experimental candidates corresponding to some of these new theoretical predictions. In particular we assign the oblate structure in 24Mg to the resonances in [Formula: see text] first observed by Fulton et al. We also review the spin systematics of these data.
THE TAU-LEPTON AND TESTS OF THE STANDARD MODEL
Authors: SAMUEL MARK A.
Published: November 2004

Using a new value for the mass of the tau-lepton we reconsider various tests of the Standard Model (SM) for the tau. The agreement with the SM is much improved. All tests agree within 1.2σ or smaller and the so-called “tau-lifetime problem” has disappeared. We also obtain bounds on the mass of the tau-neutrino. It is shown that an improved bound [Formula: see text] MeV at 95% C.L. can be obtained at the τ-charm factory in Spain or at a proposed B-factory.
STRING PHASE TRANSITIONS IN A STRONG MAGNETIC FIELD
Authors: FERRARA S. , PORRATI M.
Published: November 2004

We consider open strings in an external constant magnetic field H. For an (infinite) sequence of critical values of H an increasing number of (highest spin component) states lying on the first Regge trajectory becomes tachyonic. In the limit of infinite H all these states are tachyons (with a common tachyonic mass) both in the case of the bosonic string and for the Neveu-Schwarz sector of the fermionic string. This result generalizes to extended object the same instability which occurs in ordinary non-Abelian gauge theories. The Ramond states always have positive square masses as is the case for ordinary QED. The weak field limit of the mass spectrum is the same as for a field theory with gyromagnetic ratio gS=2 for all charged spin states. This behavior suggests a phase transition of the string as it has been argued for the ordinary electroweak theory.
ON THE CALCULATION OF THE LOW ENERGY SOFT SUPERSYMMETRY BREAKING TERMS
Authors: KRASNIKOV N.V.
Published: November 2004

We show that in supergravity theories with soft supersymmetry breaking it is necessary to take into account the terms in the Lagrangian which are suppressed by the inverse powers of the Planck mass in the calculation of the low energy soft supersymmetry breaking terms. Such terms are discarded in the standard calculations based on the use of the renormalization group equations.
SPACE-TIME SYMMETRIES AND VORTICES IN THE COSMOS
Authors: AHLUWALIA D. V. , GOLDMAN T.
Published: November 2004

By carefully studying the (1, 0) ⊕ (0, 1) representation space for massive particles we point to the existence of certain inherent tachyonic dispersion relations: E2 = p2 − m2. We put forward an interpretation that exploits these "negative mass squared" solutions; rotational invariance is spontaneously broken. Relevance of these results to the vortices in the cosmos is pointed out.
STOPPING POWER IN NUCLEUS-NUCLEUS COLLISIONS AT $\sqrt{s} =200\ {\rm AGeV}$
Authors: SCHÖNFELD TH. , STÖCKER H. , GREINER W. , SORGE H.
Published: November 2004

The microscopic phase space approach RQMD1 is used to investigate the stopping power of very heavy nuclei at collider energies. We find no gap in the rapidity distribution around mid-rapidity even at RHIC energies [Formula: see text], but rather strong filling of the mid-rapidity region. Neither is there a broad plateau for secondaries nor are the correlations between space-time and momentum as strong as in the Bjorken-McLarren scenario. This renders the Bjorken picture questionable at these energies for systems of combined mass A ≈ 400.
VORTEX SOLUTION IN A MULTI-HIGGS SYSTEM AND ITS PHYSICAL IMPLICATION
Authors: LA HOSEONG
Published: November 2004

Classical vortex solutions in (1 + 2)-dimensional multi-Higgs systems are studied. In particular the existence of such a solution requires equal characteristic lengths and a specific relation between the ratio of the two Higgs vacuum expectation values and the couplings in the Higgs potential, if λ3 ≠ 0.
QUANTUM SUPERSPACE, q-EXTENDED SUPERSYMMETRY AND PARASUPERSYMMETRIC QUANTUM MECHANICS
Authors: ILINSKI K. N. , UZDIN V. M.
Published: November 2004

We describe q-deformation of the extended supersymmetry and construct q-extended supersymmetric Hamiltonian. For this purpose we formulate q-superspace formalism and construct q-supertransformation group. On this basis q-extended supersymmetric Lagrangian is built. The canonical quantization of this system is considered. The connection with multi-dimensional matrix representations of the parasupersymmetric quantum mechanics is discussed and q-extended supersymmetric harmonic oscillator is considered as a simplest example of the described constructions. We show that extended supersymmetric Hamiltonians obey not only extended SUSY but also the whole family of symmetries (q-extended supersymmetry) which is parametrized by continuous parameter q on the unit circle.
A U(1) KAC-MOODY MODEL COUPLED TO 2D-GRAVITY
Authors: STOILOV M. N. , ZAIKOV R. P.
Published: November 2004

We consider a simple model of a scalar field with U(1) Kac-Moody local symmetry coupled to 2D-gravity in order to clarify the origin of Stuckelberg symmetry in the w∞-gravity theory. An analogous symmetry takes place in our model too. The possible central extension of the complete symmetry algebra and the corresponding critical dimension have been found. The analysis of the Hamiltonian and the constraints shows that the generators of the Kac-Moody, the reparametrization and the Stuckelberg symmetries are not independent. The connection of the model with w1+∞- and W1+∞-gravity is discussed.
A NEW LOOK AT THE q-DEFORMED CALCULUS
Authors: CHAKRABARTI R. , JAGANNATHAN R. , VASUDEVAN R.
Published: November 2004

In view of the possible relevance of the q-calculus based on Jackson's q-derivative operator [Formula: see text] in the phenomenological applications of quantum algebras it is pointed out that for real q(> 1) such that (q − 1) ≈ 0 there is a formal correspondence, up to first order in (q − 1), between the q-calculus and the calculus that can be developed assuming that the changes in x may be governed by an approximate stochastic process.
NEW ANALYSIS OF MULTIPLICITY DISTRIBUTIONS
Authors: DREMIN I. M.
Published: November 2004

The ratio of cumulant to factorial moments is proposed as a new measure of multiplicity distributions. Its advantages and shortcomings are discussed using the negative binomial distribution and several QCD-inspired functions as examples. Its asymptotic at large rank reveals tiny features of high multiplicity tails of distributions which can become especially important at LHC and SSC.
LEADING TOP MASS CORRECTIONS OF ORDER ${\mathcal O} (\alpha \alpha_s m_t^2 /M_W^2)$ TO THE PARTIAL DECAY RATE $\Gamma (Z\to b\bar b)$
Authors: CHETYRKIN K. G. , KWIATKOWSKI A. , STEINHAUSER M.
Published: November 2004

The order [Formula: see text] corrections to the partial decay rate of [Formula: see text] are computed using the heavy top mass expansion. They are given by the absorptive part of the corresponding three-loop Z self-energy diagrams. Our method provides an independent way to calculate the QCD corrections to the electroweak one-loop result for [Formula: see text] and our result represents another confirmation of the one recently published by Fleischer et al.
MAVERICK EXAMPLES OF COSET CONFORMAL FIELD THEORIES
Authors: DUNBAR DAVID C. , JOSHI KEITH G.
Published: November 2004

We present coset conformal field theories whose spectrum is not determined by the identification current method. In these "Maverick" cosets there is a larger symmetry identifying primary fields than under the identification current. We find an A-D-E classification of these Mavericks.
VISUALIZING MINISUPERSPACE DYNAMICS
Authors: ROSQUIST KJELL , UGGLA CLAES
Published: November 2004

We show that one can find a useful compactified representation of minisuperspace dynamics using conformal diagrams and how global and asymptotic qualitative features of the dynamics can be inferred from. the diagrams. To provide explicit examples this is done for the locally rotationally symmetric Bianchi type I and IX models.
IMBEDDING OF TRANSFORMATION GROUPS IN AFFINE ONES AND RENORMALIZATION OF TWO-DIMENSIONAL HOMOGENEOUS σ-MODELS
Authors: BRATCHIKOV A. V.
Published: November 2004

The BLZ method for the analysis of renormalizability of the O(N)/O(N − 1) model is extended to the σ-model built on an arbitrary homogeneous space G/H and in arbitrary coordinates. For deriving Ward-Takahashi (WT) identities an imbedding of the transformation group G in an affine group is used. The structure of the renormalized action is found. All the infinities can be absorbed in a coupling constants renormalization and in a renormalization of auxiliary constants which are related to the imbedding.
STABILITY OF NON-TOPOLOGICAL CHERN-SIMONS VORTICES IN A ϕ2-MODEL
Authors: ESCALONA JOAQUIN , TORRES MANUEL , ANTILLON ARMANDO
Published: November 2004

We study the stability under small perturbations for the recently discovered self-dual non-topological vortices in a ϕ2 Abelian Chern-Simons (CS) theory. The solitons appear in the Bogomol'nyi limit of a model of scalar and gauge fields which includes both the CS term and an anomalous magnetic contribution. It is demonstrated here, that the vortices are stable or unstable according to whether the vector topological mass κ is less than or greater than the mass m of the scalar field. The interaction between vortices is determined as attractive for (m < κ) and repulsive for (m > κ).
ALGEBRAIC APPROACH TO THE BORN-OPPENHEIMER APPROXIMATION
Authors: AHARONOV YAKIR , POPESCU SANDU , ROHRLICH DANIEL
Published: November 2004

In the algebraic approach to the Born-Oppenheimer approximation, equations in the algebra of physical operators yield the induced vector and scalar potentials; eigenstates are never needed. The “slow” variables need not commute. In the classical analog, the Poisson bracket replaces the commutator. A non-adiabatic extension is indicated.
STRINGS IN PLANE-FRONTED GRAVITATIONAL WAVES
Authors: DUVAL C. , HORVÁTH Z. , HORVÁTHY P.A.
Published: November 2004

Brinkmann’s plane-fronted gravitational waves with parallel rays — in short pp-waves— are shown to provide, under suitable conditions, exact string vacua at all orders of the σ-model perturbation expansion.
MINI-CHARGED TAU NEUTRINOS?
Authors: FOOT R. , LEW H.
Published: November 2004

Theoretically, the electric charge of the tau neutrino may be nonzero. The experimental bound on the electric charge of the tau neutrino is many orders of magnitude weaker than that for any other known neutrino. If the tau neutrino does have a small electric charge, and its mass is greater than 1 MeV, then it can annihilate sufficiently in the early universe by electromagnetic interactions to avoid conflict with the standard cosmology model. A novel feature of this scenario is that there can be effectively less than three neutrino species present during nucleosynthesis.
THE BATALIN-VILKOVISKY FORMALISM ON FERMIONIC KÄHLER MANIFOLDS
Authors: AOYAMA S. , VANDOREN S.
Published: November 2004

We show that the Kähler structure can be naturally incorporated in the Batalin-Vilkovisky formalism. The phase space of the BV formalism becomes a fermionic Kähler manifold. By introducing an isometry we explicitly construct the fermionic irreducible hermitian symmetric space. We then give some solutions of the master equation in the BV formalism.
DIFF(Σ) AND METRICS FROM HAMILTONIAN-TQFT'S IN 2+1 DIMENSIONS
Authors: BROOKS ROGER
Published: November 2004

The constraints of BF topological gauge theories are used to construct Hamiltonians which are anti-commutators of the BRST and anti-BRST operators. Such Hamiltonians are a signature of topological quantum field theories (TQFTs). By construction, both classes of topological field theories share the same phase spaces and constraints. We find that, for (2+1)- and (1+1)-dimensional space-times foliated as M=Σ × ℝ, a homomorphism exists between the constraint algebras of our TQFT and those of canonical gravity. The metrics on the two-dimensional hypersurfaces are also obtained.
FRACTIONAL SUPERSPACE FORMULATION OF GENERALIZED MECHANICS
Authors: DURAND STÉPHANE
Published: November 2004

Supersymmetric (pseudoclassical) mechanics has recently been generalized to fractional supersymmetric mechanics. In such a construction, the action is invariant under fractional supersymmetry transformations, which are the F th roots at time translations ( with F = 1, 2,…). Associated with these symmetries, there are conserved charges with fractional canonical dimension 1+1/F. Using paragrassmann variables satisfying θF=0, we present a fractional-superspace formulation of this construction.
A WEAK DECAYS IN MEDIUM TO HEAVY HYPERNUCLEI
Authors: ALZETTA RENZO , LIBERTI GIUSEPPE , GIBILISCO MARINA , PREPARATA GIULIANO
Published: November 2004

We compute the Λ weak decay widths in a hypernucleus as a function of the mass number A (A ≳ 50). We make a number of predictions for the mesonic and non-mesonic decays which definitely put to test the model of the "Coherent Nucleus," proposed a few years ago by one of us (G.P.).
ON THE GEOMETRY OF THE BATALIN-VILKOVISKY FORMALISM
Authors: KHUDAVERDIAN O. M. , NERSESSIAN A. P.
Published: November 2004

An invariant definition of the operator Δ of the Batalin-Vilkovisky formalism is proposed. It is defined as the divergence of a Hamiltonian vector field with an odd Poisson bracket (anti-bracket). Its main properties, which follow from this definition, as well as an example of realization of Kählerian supermanifolds, are considered. The geometrical meaning of the Batalin-Vilkovisky formalism is discussed.
CONSTRAINED DYNAMICS OF THE COUPLED ABELIAN TWO-FORM
Authors: LAHIRI AMITABHA
Published: November 2004

I present the reduction of phase space of the theory of an antisymmetric tensor potential coupled to an Abelian gauge field, using Dirac's procedure. Duality transformations on the reduced phase space are also discussed.
GENERATING FUNCTION FOR CUBIC INTERACTION VERTICES OF HIGHER SPIN FIELDS IN ANY DIMENSION
Authors: METSAEV R. R.
Published: November 2004

Using the light-cone formulation of relativistic dynamics we present a wide class of cubic interaction vertices for higher spin fields of any symmetry in arbitrary dimension of space-time. The solution is obtained in terms of generating function for interaction vertices.
THE MASTER FIELD OF QCD2 AND THE 't HOOFT EQUATION
Authors: CAVICCHI MARCO , DI VECCHIA PAOLO , PESANDO IGOR
Published: November 2004

We rewrite the action for QCD 2 in the light-cone gauge only in terms of a bilocal mesonic field. In this formalism the 1/N expansion can be done in a straightforward way by a saddle point technique that determines the master field to be identified with the vacuum expectation value of the bilocal field. Finally we show that the equation of motion for the fluctuations around the master field is identical with the 't Hooft meson equation.
NEUTRINO EMISSIVITY OF DEGENERATE DIQUARK STAR MATTER
Authors: SAHU PRADIP
Published: November 2004

It has been suggested recently that the two-quark correlations, called the diquarks, play an important role in dense matter whose astrophysical realization is observed in neutron star core. Here we calculate the exact numerical neutrino emissivity of the diquark star matter in the presence of non-interacting quarks. We find that the emissivity increases with the increase in diquark mass as well as that of the d quark which is also true for the s quark mass for d and s decay respectively. Also, we find that the dependence on the temperature and the baryon density on the neutrino emissivity is quite sensitive to the mass of the diquark and that of the decaying quarks.
θ STATISTICS AND TOPOLOGICAL PROPERTIES IN THE (2+1)-DIMENSIONAL CP1 MODEL
Authors: HUANG KAI , HU SHIKE
Published: November 2004

It is shown that the instanton in the (2+1)-dimensional CP 1 model is the kink of the second kind, and the instantons allowing θ statistics is due to Π1( Map ((R2, S1), S3, S1))n)=Z. When taking a compactified time S1, the space-time manifold is D2×S1, and the coefficient θ of the Hopf term is quantized as θ=k/(2π), where k∈ℤ. Two kinds of topological term are also shown not to be topological invariant under the boundary condition.
REALIZATIONS OF A REFLECTION QUADRATIC ALGEBRA RELATED TO SUq(N)
Authors: QUESNE C.
Published: November 2004

The operators bilinear in SU q(n)-covariant q-bosonic or q-fermionic creation and annihilation operators are shown to generate two different realizations of a q-deformation of the u(n) universal enveloping algebra. By adding some appropriate constants, such operators can be transformed into the generators of a reflection quadratic algebra related to the R-matrix of SU q(n). The latter generalizes to arbitrary n an algebra studied by Kulish and Sklyanin in the n=2 case. Both algebras considered here are SU q(n)-comodule.
A STRUCTURE FUNCTION TEST OF THE QCD LIPATOV BEHAVIOR AT HERA
Authors: ASKEW A. J. , KWIECINSKI J. , MARTIN A. D. , SUTTON P. J.
Published: November 2004

The structure functions for deep-inelastic electron-proton scattering at small x are calculated using the QCD kT-factorization theorem together with the gluon distribution obtained from solving the Lipatov (or BFKL) equation. We study the theoretical uncertainties in the predictions and show, in the HERA regime, that the effective slope λ, defined by [Formula: see text], is a remarkably stable prediction of perturbative QCD, where [Formula: see text], is suitably defined background. We propose a procedure for identifying the Lipatov effect from small x measurements of F2. We apply it to the recent HERA data, and hence determine λ.
ON GUPTA-BLEULER QUANTIZATION OF SYSTEMS WITH SECOND-CLASS CONSTRAINTS
Authors: KALAU WOLFGANG
Published: November 2004

In this paper we discuss Hamiltonian systems with mixed first- and second-class constraints. We prove on classical level that in a neighborhood of the constraint surface the complexified constraints can always be split into a holomorphic and an antiholomorphic set. This is a necessary condition for implementing the holomorphic set consistently on the ket-states of the corresponding quantum theory. The quantization is performed with BRST-methods using a non-Hermitian BRST-operator. As an example we use this method to quantize the four-dimensional superparticle.
A SEARCH FOR FLIPPED SU(5) LIKE MODELS FROM NON-SUPERSYMMETRIC ORBIFOLDS
Authors: HATZINIKITAS AGAPITOS , TOON ANDREW
Published: November 2004

We consider the viability of obtaining flipped SU(5) models from a class of Z 6 orbifolds which break space-time supersymmetry at the compactification scale.
DERIVATION OF THE ACTIONS FOR THE RELATIVISTIC PARTICLES WITH ARBITRARY SPINS
Authors: BUCHBINDER I.L. , SHVARTSMAN SH. M.
Published: November 2004

Starting from the Bargmann-Wigner equations for the fields with the arbitrary spins we find out the general structure of actions for the corresponding relativistic particles. The cases of the free particles and the particles in the external gravitational and gauge fields are considered.
CHIRAL SYMMETRY BREAKING AND FORMULAS OF QUARK CONVERSION FOR LOW-ENERGY HADRONIC MATRIX ELEMENTS
Authors: IVANOV ANDREI N.
Published: November 2004

By using the extended Nambu-Jona-Lasinio model for the low-energy approximation of QCD we derive the formulas, being due to spontaneous breaking of chiral symmetry and bosonization, and allowing to express matrix elements of any operator with current-quark fields in the definition in terms of matrix elements of this operator determined via constituent-quark fields interacting with low-lying meson states appearing as [Formula: see text]-collective excitations, which have the self-interactions too.
GLUEBALL MEDIATED DECAY OF MASSIVE NEUTRINOS IN QUARK-LEPTON SYMMETRIC MODELS
Authors: FOOT R. , LEW H. , VOLKAS R.R.
Published: November 2004

The mysterious similarity of quarks and leptons may be invoked to motivate the hypothesis of an exact discrete symmetry between the quarks and the leptons which is broken spontaneously. This hypothesis predicts the existence of heavy bound states and light glueballs associated with an unbroken SU(2)′ gauge symmetry. We show that some of these bound states can mix significantly with the ordinary leptons. An interesting consequence of this mixing is that a massive neutrino can decay surprisingly quickly via real or virtual SU(2)′ glueball emission. Hence, we argue that massive neutrinos in generic quark-lepton symmetric models may decay fast enough to be consistent with the energy density bound in the standard big bang model of cosmology.
NONPERTURBATIVE 2D QUANTUM GRAVITY AND HAMILTONIANS UNBOUNDED FROM BELOW
Authors: AMBJØRN J. , KRISTJANSEN C.F.
Published: November 2004

We show how the stochastic stabilization provides both the weak coupling genus expansion and a strong coupling expansion of 2D quantum gravity. The double scaling limit is described by a Hamiltonian which is unbounded from below, but which has a discrete spectrum.
ONE-LOOP INTEGRALS REVISITED — THE THREE-POINT FUNCTIONS
Authors: KREIMER D.
Published: November 2004

This paper presents results concerning a new calculation of the well-known one-loop n- point scalar and tensor functions. In this paper we treat the three-point functions. We give a systematic reduction to a certain class of functions which minimizes the effort for calculating scalar and tensor integrals drastically. We avoid standard techniques such as Feynman parametrization and Wick rotation.
SPONTANEOUS CP VIOLATION IN A TWO GENERATION SU(2)L × SU(2)R × U(1)B − L × U(1)H MODEL
Authors: SARKAR SASWATI , RAY ASIM K. , GHOSAL AMBAR , BHOWMICK DEBASIS , BANDYOPADHYAY KRISHNANATH
Published: November 2004

It is shown that spontaneous CP violation can occur in a two generation left–right symmetric horizontal model if there are two Higgs bi-doublets with the same horizontal hypercharge quantum number. The contributions to the KL − KS mass difference (Δm) and CP violating effects (∊, ∊′/∊, Dn) to the box and tree level diagrams are discussed to demonstrate that the experimental values of Δm and ∊ can be explained with suitable choice of the model parameters.
NEW TWISTOR DIAGRAMS FOR MASSLESS FREE FIELDS OF ARBITRARY SPIN
Authors: CARDOSO J. G.
Published: November 2004

A method whereby the integral of a holomorphic projective twistor one-form may be re-expressed as the integral of an associated holomorphic projective twistor three-form is suggested. This method is used to represent the Penrose universal contour integral formulas for spinning zero-rest-mass free fields in terms of twistor diagrams.
BUILDING THE GLUON DISTRIBUTION IN NUCLEONS
Authors: BARONE V. , GENOVESE M. , NIKOLAEV N. N. , PREDAZZI E. , ZAKHAROV B. G.
Published: November 2004

We present a direct perturbative QCD calculation of the gluon distribution in nucleons as a QCD radiative effect. We assume that the only infrared regulator is the nucleon's radius which emerges as a natural cutoff. A technique is introduced which allows constructing the glue step by step keeping a careful balance of valence, gluons and sea and obeying all constraints. The absolute normalization and shape of the calculated gluon distribution are in good agreement with the experimental determinations.
ORTHOPOSITRONIUM LIFETIME PROBLEM
Authors: DOBROLIUBOV M. I. , GNINENKO S. N. , YU. IGNATIEV A. , MATVEEV V. A.
Published: November 2004

We review the present status of the problem of the six standard deviation discrepancy between the theoretical and experimental values of the orthopositronium lifetime. We discuss possible ways of its explanation and show that those invoking new decay modes are apparently closed. So the solution of this problem most probably lies either in large numerical value of the next, yet uncalculated, coefficient in the perturbative expansion of the orthopositronium decay width or in shortcomings of the standard treatment of the bound state problem in quantum field theory.
ON THE SPECTRUM, NO-GHOST THEOREM AND MODULAR INVARIANCE OF W3 STRINGS
Authors: WEST PETER
Published: November 2004

A spectrum-generating algebra is constructed and used to find all the physical states of the W3 string with standard ghost number. These states are shown to have positive norm and their partition function is found to involve the Ising model characters corresponding to the weights 0 and 1/16. The theory is found to be modular invariant if, in addition, one includes states that correspond to the Ising character of weight 1/2. It is shown that these additional states are indeed contained in the cohomology of Q.
DIRAC'S QUANTIZATION OF THE CHIRAL SCHWINGER MODEL — PART II
Authors: SARADZHEV FUAD M.
Published: November 2004

We modify the Lagrangian of the chiral Schwinger model (CSM) by adding a nonlocal term. Then we quantize the modified model in the temporal gauge A0 = 0 by using Dirac's quantization procedure. It is shown that the "quantize first" approach leads to the nonlocal quantum theory of the nonmodified CSM. The "constrain first" approach gives us a quantum theory in which some of the physical degrees of freedom are represented by a quantized field with exotic statistics.
MATRIX MODELS WITHOUT SCALING LIMIT
Authors: BONORA L. , XIONG C. S.
Published: November 2004

In the context of Hermitian one-matrix models we show that the emergence of the NLS hierarchy and of its reduction, the KdV hierarchy, is an exact result of the lattice characterizing the matrix model. Said otherwise, we are not obliged to take a continuum limit to find these hierarchies. We interpret this result as an indication of the topological nature of them. We discuss the topological field theories associated with both and discuss the connection with topological field theories coupled to topological gravity already studied in the literature.
UNITARITY AND COMPLEX MASS FIELDS
Authors: BOLLINI C. G. , OXMAN L. E.
Published: November 2004

We consider a field obeying a simple higher order equation with a real mass and two complex conjugate mass parameters. The evaluation of vacuum expectation values leads to the propagators, which are (resp.) a Feynman causal function and two complex conjugate Wheeler–Green functions (half retarded plus half advanced). By means of the computation of convolutions, we are able to show that the total self-energy has an absorptive part which is only due to the real mass. In this way it is shown that this diagram is compatible with unitarity and the elimination of free complex-mass asymptotic states from the set of external legs of the S-matrix. It is also shown that the complex masses act as regulators of ultraviolet divergences.
BOUSSINESQ-TYPE EQUATIONS FROM NONLINEAR REALIZATIONS OF W3
Authors: IVANOV E. , KRIVONOS S. , MALIK R. P.
Published: November 2004

We construct new coset realizations of infinite-dimensional linear [Formula: see text] symmetry associated with Zamolodchikov's W3 algebra which are different from the previously explored sl3 Toda realizations of [Formula: see text]. We deduce the Boussinesq and modified Boussinesq equations as constraints on the geometry of the corresponding coset manifolds. The main characteristic features of these realizations are: (i) among the coset parameters there are space and time coordinates x and t which enter the Boussinesq equations; all other coset parameters are regarded as fields depending on these coordinates; (ii) the spin 2 and 3 currents of W3 and two spin 1 U (1) Kac–Moody currents as well as two spin 0 fields related to the W3 currents via Miura maps, come out as the only essential parameter-fields of these cosets; the remaining coset fields are covariantly expressed through them; (iii) the Miura maps get a new geometric interpretation as [Formula: see text]-covariant constraints which relate the above fields while passing from one coset manifold to another; (iv) the Boussinesq equation and two kinds of the modified Boussinesq equations appear geometrically as the dynamical constraints accomplishing [Formula: see text]-covariant reductions of original coset manifolds to their two-dimensional geodesic submanifolds; (v) the zero-curvature representations for these equations arise automatically as a consequence of the covariant reduction; (vi) W3 symmetry of the Boussinesq equations amounts to the left action of [Formula: see text] symmetry on its cosets. The approach proposed could provide a universal geometric description of the relationship between W-type algebras and integrable hierarchies.