bluuebunny/crossref_metadata_2025 huggingface dataset:
APPROACH TO D-DIMENSIONAL GROSS–NEVEU MODEL AT FINITE TEMPERATURE AND CURVATURE
Authors: KANEMURA SHINYA , SATO HARU-TADA
Published: October 2004

We discuss phase structure of chiral symmetry breaking of the D-dimensional (2≤D≤3) Gross–Neveu model at finite temperature, density and constant curvature. We evaluate the effective potential in a weak background approximation to thermalize the model as well as in the leading order of the 1/N-expansion. A third-order critical line is observed similarly to the D=2 case.
A GENERALIZATION OF QUANTUM STATISTICS
Authors: CHEN WEI , NG Y. JACK , VAN DAM HENDRIK
Published: October 2004

We examine a new fractional statistics for arbitrary dimensions, based on an extension of Pauli’s exclusion principle, to allow for finite multi-occupancies of a single quantum state. By explicitly constructing the many-body Hilbert space, we obtain a new algebra of operators and a new thermodynamics. The new statistics is different from fractional exclusion statistics. For a single species of particles it is equivalent to parafermi statistics; but their algebras are very different for the case of multiple species.
APPROXIMATE CALCULATION OF THE N-LOOP EFFECTIVE POTENTIAL FOR LARGE FIELD VALUES THROUGH THE RENORMALIZATION GROUP EQUATION
Authors: ÖZER MURAT
Published: October 2004

The renormalization group equation is used to obtain an approximate expression for the N-loop effective potential VN(ϕ) for large values of an interacting scalar field ϕ. The expression thus obtained is valid when the leading logarithms are much larger than the nonleading ones.
A NEW LOOK AT THE RST MODEL
Authors: ZHOU JIAN-GE , ZIMMERSCHIED F. , LIANG J.-Q. , MÜLLER-KIRSTEN H.J.W.
Published: October 2004

The RST model is augmented by the addition of a scalar field and a boundary term so that it is well-posed and local. Expressing the RST action in terms of the ADM formulation, the constraint structure can be analyzed completely. It is shown that from the viewpoint of local field theories, there exists a hidden dynamical field ψ1 in the RST model. Due to the presence of this hidden dynamical field, we can reconstruct the closed algebra of the constraints which guarantee the general invariance of the RST action. The resulting stress tensors T±± are recovered to be true tensor quantities. In particular, the part of the stress tensors for the hidden dynamical field ψ1 gives the precise expression for t±. At the quantum level, the cancellation condition for the total central charge is re-examined. Finally, with the help of the hidden dynamical field ψ1, the fact that the semiclassical static solution of the RST model has two independent parameters (P, M), whereas for the classical CGHS model there is only one, can be explained.
T-DUALITY OF p-BRANES
Authors: SEN ASHOKE
Published: October 2004

We investigate possible existence of duality symmetries which exchange the Kaluza–Klein modes with the wrapping modes of a BPS saturated p-brane on a torus. Assuming the validity of the conjectured U-duality symmetries of type-II and heterotic string theories and M-theory, we show that for a BPS saturated p-brane there is an SL (2, Z) symmetry that mixes the Kaluza–Klein modes on a (p+1)-dimensional torus T(p+1) with the wrapping modes of the p-brane on T(p+1). The field that transforms as a modular parameter under this SL (2, Z) transformation has as its real part the component of the (p+1)-form gauge field on T(p+1), and as its imaginary part the volume of T(p+1), measured in the metric that couples naturally to the p-brane.
RENORMALIZATION SCHEMES AND RENORMALONS
Authors: KRASNIKOV N.V. , PIVOVAROV A.A.
Published: October 2004

Various ways on how higher order corrections can reveal themselves if integrated over the ir region are discussed. We show that in different renormalization group (RG) schemes and for some observables one has no factorial divergences. We argue that for treating things in the ir region it is preferable to start with a RG scheme without the ir Landau pole in the running coupling constant. The uncertainties for the τ lepton width resulting from accounting for higher order corrections are also discussed.
RENORMALIZED RPA AT FINITE TEMPERATURE
Authors: AVDEENKOV A.V. , KOSOV D.S. , VDOVIN A.I.
Published: October 2004

A method taking account of a deviation of state occupation numbers from the thermal RPA prescriptions is elaborated to study collective excitations in hot nuclei. This thermal renormalized random phase approximation (TRRPA) is from Ken-Ji Hara and D.J. Rowe. In developing the TRRPA, a formalism of the thermofield dynamics (TFD) is used. Some numerical results are given for the SU(2) model.
DISCOVERY OF STRONGLY ENHANCED LOW ENERGY ALPHA DECAY OF A LONG-LIVED ISOMERIC STATE OBTAINED IN 16O + 197Au REACTION AT 80 MeV, PROBABLY TO SUPERDEFORMED BAND
Authors: MARINOV A. , GELBERG S. , KOLB D.
Published: October 2004

The reaction 16 O + 197 Au has been studied at a bombarding energy of 80 MeV. A group of 5.20 MeV α particles with a half-life of about 90 m has been found in coincidence with characteristic X-rays of At and with γ-rays. The γ-ray energies fit predicted energies for superdeformed band. The data are interpreted as due to formation of a long-lived isomeric state which decays by low energy α-particles to SD band. The calculated probability for decay via a barrier of a superdeformed nucleus was found to be consistent with the experimental results.
THE SEARCH FOR THE DECAY OF Z BOSON INTO TWO PHOTONS AS A TEST OF BOSE STATISTICS
Authors: YU. IGNATIEV A. , JOSHI G.C. , MATSUDA M.
Published: October 2004

We suggest that Bose statistics for photons can be tested by looking for decays of spin-1 bosons into two photons. The experimental upper limit on the decay Z→γγ is used to establish for the first time the quantitative measure of the validity of Bose symmetry for photons.
CENTRAL EXTENSION OF A NEW W∞-TYPE ALGEBRA
Authors: STOILOV M.N. , ZAIKOV R.P.
Published: October 2004

The central extension of a new infinite-dimensional algebra which has both W∞ and affine sl (2, R) as subalgebras is found. The critical dimension of the corresponding string model is D=5.
GEOMETRICAL FORMULATION OF THE BRST TRANSFORMATIONS OF GAUGE-AFFINE GRAVITY
Authors: MEZIANE A. , TAHIRI M.
Published: October 2004

Fields and their BRST and anti-BRST transformations in gauge-affine gravity are determined by using a superspace formalism. The method is based on the introduction of a basis, instead of the natural one, for differential forms on a (4, 2)-dimensional superspace, whose body is a metric-affine spacetime. This basis is defined after having introduced the coordinate ghost and anti-ghost superfields from a [Formula: see text]-superconnection.
ON AN EXPLICIT SET OF COMPLETE EIGENFUNCTIONS FOR THE CALOGERO–SUTHERLAND MODEL
Authors: GURAPPA N. , PANIGRAHI PRASANTA K.
Published: October 2004

An operator method is provided to generate an explicit set of complete eigenfunctions for the Calogero–Sutherland model, obtained earlier by Vacek, Okiji and Kawakami, through a special ansatz. We find the connection of the above basis set with the general eigenfunctions of this model and explicitly show that these states describe only the center-of-mass motion.
LOCAL FRACTIONAL SUPERSYMMETRY FOR ALTERNATIVE STATISTICS
Authors: FLEURY N. , RAUSCH DE TRAUBENBERG M.
Published: October 2004

A group theory justification of one-dimensional fractional supersymmetry is proposed using an analog of a coset space, just like the one introduced in 1-D supersymmetry. This theory is then gauged to obtain a local fractional supersymmetry, i.e. a fractional supergravity which is then quantized à la Dirac to obtain an equation of motion for a particle which is in a representation of the braid group and should describe alternative statistics. A formulation invariant under general reparametrization is given by means of a curved fractional superline.
COLLECTIVE MOTION OF MICRO-ORGANISMS FROM FIELD THEORETICAL VIEWPOINT
Authors: NOJIRI SHIN’ICHI , KAWAMURA MASAKO , SUGAMOTO AKIO
Published: October 2004

We analyze the collective motion of micro-organisms in the fluid and consider the problem of the red tide. The red tide is produced by the condensation of the micro-organisms, which might be similar to that of the strings. We propose a model of the generation of the red tide. By considering the interaction between the micro-organisms mediated by the velocity fields in the fluid, we derive the Van der Waals type equation of state, where the generation of the red tide can be regarded as a phase transition from the gas of micro-organisms to the liquid.
PARAFERMION REPRESENTATION OF THE QUANTUM AFFINE ${\rm U}_q (\widehat{{\rm sl}_2})$
Authors: DING XIANG-MAO , WANG PEI
Published: October 2004

We propose a q-deformed su(2) parafermion (Zk parafermion), and use it together with a free boson field to construct a representation of quantum affine algebra [Formula: see text] of Drinfeld realization for a general level k. In the classical limit q→1, the q-deformed su(2) parafermions become su(2) parafermion, and this realization is the parafermion realization of [Formula: see text] Kac–Moody algebra.
AXIAL ANOMALY AND THE NUCLEON SPIN
Authors: LIN JIN HU , KIM C.S.
Published: October 2004

In this letter we have taken a particular Lagrangian, which was introduced to resolve U(1) problem, as an effective QCD Lagrangian, and have derived a formula of the quark content of the nucleon spin. The difference between quark content of the proton (ΔΣp) and that of the neutron (∆Σn) is evaluated by this formula. Neglecting the higher-order isospin corrections, this formula can reduce to Efremov’s results in the large-Nc limit.
CURVATURE INDUCED DYNAMICAL SYMMETRY RESTORATION IN EINSTEIN UNIVERSE (R⊗SD−1)
Authors: ISHIKAWA K. , INAGAKI T. , MUTA T.
Published: October 2004

As a prototype of composite Higgs models four-fermion interaction models with N-component fermion are investigated in Einstein universe keeping spacetime dimensions for 2≤D<4. It is found that the effective potential for composite operator [Formula: see text] is calculable in the leading order of the 1/N expansion. The resulting effective potential is analyzed by varying the curvature of spacetime and is found to exhibit the symmetry restoration through the second-order phase transition. The critical curvature at which the dynamical fermion mass disappears is analytically calculated.
EVIDENCE FOR LONG-LIVED PROTON DECAY NOT FAR FROM THE β-STABILITY VALLEY PRODUCED BY THE 16O + 197Au REACTION AT 80 MeV
Authors: MARINOV A. , GELBERG S. , KOLB D.
Published: October 2004

The reaction 16 O + 197 Au has been studied at a bombarding energy of 80 MeV. Long-lived proton decays with half-lives of about [Formula: see text] h and [Formula: see text] h, proton energies of several MeV and production cross-section in the nb region have been observed. The existence of long-lived high energy isomeric state(s) which decay by protons, directly or by delayed protons, is evident from the data. The possible connection with the second minimum in the potential energy curve is discussed.
THE KAON ELECTROMAGNETIC FORM FACTOR AND EFFECTS OF RUNNING COUPLING CONSTANT
Authors: AGAEV SHAHIN S.
Published: October 2004

The Borel transform and resummed expression for the kaon electromagnetic form factor Fk(Q2) are obtained in the context of QCD running coupling αs(Q2(1 − x)(1 − y)) approach. It is demonstrated that the effects of running coupling (ir renormalons) can be taken into account by scale-setting procedure αs(Q2)→αs(ef (Q2)Q2) in the leading order expression.
APPROXIMATE FLAVOR SYMMETRIES AT A GRAND UNIFICATION SCALE
Authors: GÓMEZ DUMM D.
Published: October 2004

We study the evolution of fermion mass matrices considering the hypothesis of approximate flavor symmetries (AFS) in the standard model and a two-Higgs-doublet model. We find that the hierarchical structure is not significantly altered by the running, hence the assumption of AFS is entirely compatible with a grand unification scenario.
RESONANT SUCTION AND “INTERACTION-FREE MEASUREMENT”
Authors: WOO C.H.
Published: October 2004

A repulsive potential behind a barrier or a potential well can exert suction, and under ideal conditions the interruption of suction enables the detection of the interrupting object without any steady flux impinging on the object. The relation of this phenomenon to the so-called “interaction-free measurement”, and the question of whether actually there is interaction, are discussed.
ON INDICES OF THE DIRAC OPERATOR IN A NON-FREDHOLM CASE
Authors: MOROZ ALEXANDER
Published: October 2004

The Dirac–Hamiltonian with the Aharonov–Bohm potential provides an example of a non-Fredholm operator for which all spectral asymmetry comes entirely from the continuous spectrum. In this case one finds that the use of standard definitions of the resolvent regularized, the heat kernel regularized, and the Witten indices misses the contribution coming from the continuous spectrum and gives vanishing spectral asymmetry and axial anomaly. This behavior in the case of the continuous spectrum seems to be general and its origin is discussed.
INTEGRABLE MULTIPARAMETRIC SU(N) CHAIN
Authors: FOERSTER ANGELA , RODITI ITZHAK , RODRIGUES LIGIA M.C.S.
Published: October 2004

We analyze integrable models associated to a multiparametric SU (N)R-matrix. We show that the Hamiltonians describe SU (N) chains with twisted boundary conditions and that the underlying algebraic structure is the multiparametric deformation of SU (N) enlarged by the introduction of a central element.
SHORT DISTANCE REGULARIZATION
Authors: LEE TAEYEON
Published: October 2004

A regularization scheme is discussed, in which the naive momentum cutoff of an internal loop integral ∫d4q is modified to ∫d4qe±iq.ε. The uv divergence is suppressed by high frequency oscillation of e±iq.ε. Since the regulator is removed as ε→0, logarithmic divergence is expressed as logarithmic singularity of ε such as ln (μ|ε|) where μ is an arbitrary mass parameter. With ε as a mere parameter describing uv divergence, this regularization method does not break the important Poincaré invariance and gauge symmetry. This method also allows easier evaluation of loop integrals than the dimensional regularization, and clearly expresses quadratic divergences, which do not appear in the dimensional regularization.
HEAVISIDE TRANSFORM WITH RESPECT TO THE MASS IN QCD
Authors: YAMADA HIROFUMI
Published: October 2004

We propose the use of Heaviside transform with respect to the quark mass to investigate dynamical aspects of QCD. We show that at large momentum transfer the transformed propagator of massive quarks behaves softly and thus the dominant effect of explicit chiral symmetry breaking disappears through Heaviside transform. This suggests that it is more convenient to do massless approximation in the transformed quantity than in the original one. As an example of explicit approximation, we estimate the massless value of the quark condensate.
EXPLANATION OF THE DATA ON $\Gamma (Z^0\to b\bar b) /\Gamma (Z^0\to {\rm hadrons})$ AND THE INCLUSIVE b→sγ BRANCHING RATIO
Authors: LEMKE E.H.
Published: October 2004

Calculations show that the data on the Z0 hadronic branching ratio fraction to [Formula: see text] at the Z0 pole as well as the inclusive b→sγ branching ratio can be explained by an anomalous (γ-Z0)WW coupling having ∆κ=−1 and λ=0. Such a vertex was derived from a representation in spinor space some time ago. The agreement is analyzed and possible implication of that basic spinor symmetry are described. Finally, the recent data on diboson production and their interpretation are examined critically. The used and shortly presented electroweak unification scheme of “structureless compositeness” provides two natural explanations of the increase of the inclusive jet cross-section above 200 GeV jet transverse energy observed at FNAL recently.
NEWMAN–PENROSE FORMALISM FOR GRAVITATIONAL SHOCK WAVES
Authors: HAYASHI KOICHI , SAMURA TOSHIHARU
Published: October 2004

First-order perturbations for the fields with spin on the background metric of the gravitational shock waves are discussed. Applying the Newman–Penrose formalism, exact solutions of the perturbation equations are obtained. For particle physics, this would be an approach to the problem of scattering particle at Planck energy.
FINITE TEMPERATURE QCD AT THREE-LOOP
Authors: XIANGJUN CHEN , FUJIMOTO YASUSHI
Published: October 2004

QCD three-loop vacuum graphs are calculated in Feynman gauge. All the temperature-dependent divergences are extracted by using dimensional regularization. Ultraviolet divergences are shown to cancel with each other and the ir divergences remain uncanceled.
AN ALTERNATIVE DIMENSIONAL REDUCTION PRESCRIPTION
Authors: EDELSTEIN J.D. , NÚÑEZ C. , SCHAPOSNIK F.A. , GIAMBIAGI J.J.
Published: October 2004

We propose an alternative dimensional reduction prescription which in respect with Green functions corresponds to dropping the extra spatial coordinate. From this, we construct the dimensionally reduced Lagrangians both for scalars and fermions, discussing bosonization and supersymmetry in the particular two-dimensional case. We argue that our proposal is in some situations more physical in the sense that it maintains the form of the interactions between particles thus preserving the dynamics corresponding to the higher-dimensional space.
CORRELATION FUNCTIONS OF A CONFORMAL FIELD THEORY IN THREE DIMENSIONS
Authors: GURUSWAMY S. , VITALE P.
Published: October 2004

We derive explicit forms of the two-point correlation functions of the O(N) nonlinear sigma model at the critical point, in the large-N limit, on various three-dimensional manifolds of constant curvature. The two-point correlation function, G(x, y), is the only n-point correlation function which survives in this limit. We analyze the short distance and long distance behaviors of G(x, y). It is shown that G(x, y) decays exponentially with the Riemannian distance on the spaces R2×S1, S1×S1×R, S2×R, H2×R. The decay on R3 is of course a power law. We show that the scale for the correlation length is given by the geometry of the space and therefore the long distance behavior of the critical correlation function is not necessarily a power law even though the manifold is of infinite extent in all directions; this is the case of the hyperbolic space where the radius of curvature plays the role of a scale parameter. We also verify that the scalar field in this theory is a primary field with weight [Formula: see text]; we illustrate this using the example of the manifold S2×R whose metric is conformally equivalent to that of R3–{0} up to a reparametrization.
PURE LEPTONIC RADIATIVE DECAYS B±, Ds→ℓνγ AND THE ANNIHILATION GRAPH
Authors: ATWOOD DAVID , EILAM GAD , SONI AMARJIT
Published: October 2004

Pure leptonic radiative decays of heavy-light mesons are calculated using a very simple nonrelativistic model. For B± the dominant contribution originates from photon emission from light initial quark. Emission of the photon overcomes the helicity suppression and leads to Br (B±→ℓνγ)~3.5×10–6 (which is about 16 times more than Br (B±→µ+ν)). Also, we find Br (Ds→ℓνγ)~2.6×10–5. The importance of these reactions in clarifying the dynamics of the annihilation graph is emphasized.
ON THE TENSOR FORMULATION OF EFFECTIVE VECTOR LAGRANGIANS AND DUALITY TRANSFORMATIONS
Authors: BIJNENS JOHAN , PALLANTE ELISABETTA
Published: October 2004

Using two different methods inspired by duality transformations we present the equivalence between effective Lagrangians for massive vector mesons using a vector field and an antisymmetric tensor field. This completes the list of explicit field transformations between the various effective Lagrangian methods to describe massive vector and axial vector mesons. Our method automatically generates the point-like terms needed for off-shell equivalence.
ABELIAN PROJECTION AND STUDIES OF GAUGE-VARIANT QUANTITIES IN THE LATTICE QCD WITHOUT GAUGE FIXING
Authors: SHABANOV SERGEI V.
Published: October 2004

We suggest a new (dynamical) Abelian projection of the lattice QCD. It contains no gauge condition imposed on gauge fields so that Gribov copying is avoided. Configurations of gauge fields that turn into monopoles in the Abelian projection can be classified in a gauge-invariant way. In the continuum limit, the theory respects the Lorentz invariance. A similar dynamical reduction of the gauge symmetry is proposed for studies of gauge-variant correlators (like a gluon propagator) in the lattice QCD. Though the procedure is harder for numerical simulations, it is free of gauge-fixing artifacts, like the Gribov horizon and copies.
CHORD DIAGRAMS AND BPHZ SUBTRACTIONS
Authors: TSOHANTJIS IOANNIS , KALLONIATIS ALEX C. , JARVIS PETER D. , THOMPSON GEORGE
Published: October 2004

The combinatorics of the BPHZ subtraction scheme for a class of ladder graphs for the three-point vertex in ɸ3 theory is transcribed into certain connectivity relations for marked chord diagrams (knots with transversal intersections). The resolution of the singular crossings using the equivalence relations in these examples provides confirmation of a proposed fundamental relationship between knot theory and renormalization in perturbative quantum field theory.
ELECTRIC-MAGNETIC DUALITY AND THE “LOOP REPRESENTATION” IN ABELIAN GAUGE THEORIES
Authors: LEAL LORENZO
Published: October 2004

Abelian gauge theories are quantized in a geometric representation that generalizes the loop representation and treats electric and magnetic operators on the same footing. The usual canonical algebra is turned into a topological algebra of nonlocal operators that resembles the order-disorder dual algebra of ’t Hooft. These dual operators provide a complete description of the physical phase space of the theories.
BIFURCATIONS IN THIN SPHERICALLY SYMMETRIC RADIATING SHELLS
Authors: AQUILANO ROBERTO O. , CASTAGNINO MARIO A. , LARA LUIS P.
Published: October 2004

The conclusions of Ref. 1 are confirmed, using the shell formalism, relativistic effects could eventually be detected in X-ray bursters. We show in this letter that the oscillations could play an important role in the oscillation spectrum of these astronomical objects.
FIELD-THEORETIC APPROACH FOR SYSTEMS OF COMPOSITE HADRONS
Authors: GIRARDEAU M.D. , KREIN G. , HADJIMICHEF D.
Published: October 2004

Systems containing simultaneously hadrons and their constituents are most easily described by treating composite hadron field operators on the same kinematical footing as the constituent ones. Introduction of a unitary transformation allows redescription of hadrons by elementary-particle field operators. Transformation of the microscopic Hamiltonian leads to effective Hamiltonians describing all possible processes involving hadrons and their constituents.
A MODEL OF LOW-LYING STATES IN STRONGLY INTERACTING ELECTROWEAK SYMMETRY-BREAKING SECTOR
Authors: HAN TAO , HUANG ZHENG , HUNG P.Q.
Published: October 2004

It is proposed that, in a strongly-interacting electroweak sector, besides the Goldstone bosons, the coexistence of a scalar state (H) and vector resonances such as A1 [IG(JP)= 1–(1+)], V [1+(1–)] and ωH [0–(1–)] is required by the proper Regge behavior of the forward scattering amplitudes. This is a consequence of the following well-motivated assumptions: (a) Adler-Weisberger-type sum rules and the superconvergence relations for scattering amplitudes hold in this strongly interacting sector; (b) the sum rules at t=0 are saturated by a minimal set of low-lying states with appropriate quantum numbers. It therefore suggests that a complete description should include all these resonances. These states may lead to distinctive experimental signatures at future colliders.
ON THE CONSTRUCTION OF WN-ALGEBRAS IN THE FORM OF AN–1-CASIMIR ALGEBRAS
Authors: ÖZER H.T.
Published: October 2004

Casimir W-algebras are shown to exist in such a way that the conformal spins of primary (generating) fields coincide with the orders of independent Casimir operators. We show here that this coincidence can be extended further to the case that these generating fields have the same eigenvalues with the Casimir operators.
ON THE NONEQUILIBRIUM EFFECTIVE POTENTIAL
Authors: RIOTTO ANTONIO , VILJA IIRO
Published: October 2004

Nonequilibrium phenomena of the phase transitions are studied. It is shown that due to finite relaxation time of the particle distributions, the use of scalar background dependent distribution functions is inconsistent. This observation may change the picture of rapid processes during the electroweak phase transition, like subcritical bubble formation and propagation of bubble walls.
ALGEBRA AND TWISTED ALGEBRA IN TOROIDAL TARGET SPACE
Authors: TANIMURA SHOGO
Published: October 2004

Target space duality is reconsidered from the viewpoint of quantization in a space with nontrivial topology. An algebra of operators for the toroidal bosonic string is defined and its representations are constructed. It is shown that there exist an infinite number of inequivalent quantizations, which are parametrized by two parameters 0≤s, t<1. The spectrum exhibits the duality only when s=t or –t (mod 1). A deformation of the algebra by a central extension is also introduced. It leads to a kind of twisted relation between the zero mode quantum number and the topological winding number.
EXACT SOLUTIONS TO QUANTUM FIELD THEORIES AND INTEGRABLE EQUATIONS
Authors: MARSHAKOV A.
Published: October 2004

The exact solutions to quantum string and gauge field theories are discussed and their formulation in the framework of integrable systems is presented. In particular we consider in detail several examples of the appearance of solutions to the first-order integrable equations of hydrodynamical type and stress that all known examples can be treated as partial solutions to the same problem in the theory of integrable systems.
POLYMER STATISTICS AND FERMIONIC VECTOR MODELS
Authors: SEMENOFF GORDON W. , SZABO RICHARD J.
Published: October 2004

We consider a variation of O(N)-symmetric vector models in which the vector components are Grassmann numbers. We show that these theories generate the same sort of random polymer models as the O(N) vector models and that they lie in the same universality class in the large-N limit. We explicitly construct the double-scaling limit of the theory and show that the genus expansion is an alternating Borel summable series that otherwise coincides with the topological expansion of the bosonic models. We also show how the fermionic nature of these models leads to an explicit solution even at finite-N for the generating functions of the number of random polymer configurations.
UNIVERSAL CORRELATIONS IN RANDOM MATRICES: QUANTUM CHAOS, THE 1/r2 INTEGRABLE MODEL, AND QUANTUM GRAVITY
Authors: JAIN SANJAY
Published: October 2004

Random matrix theory (RMT) provides a common mathematical formulation of distinct physical questions in three different areas: quantum chaos, the 1-D integrable model with the 1/r2 interaction (the Calogero-Sutherland-Moser system) and 2-D quantum gravity. We review the connection of RMT with these areas. We also discuss the method of loop equations for determining correlation functions in RMT, and smoothed global eigenvalue correlators in the two-matrix model for Gaussian orthogonal, unitary and symplectic ensembles.
REPRESENTATION TRANSFORMATION IN QUANTUM KANTOWSKI-SACHS UNIVERSE IN Ω-FIELD THEORY
Authors: LEE W.T.
Published: October 2004

In this letter we studied the quantum Kantowski-Sachs universe in Ω-field theory. We use the requirement that physical states be independent of the choice of representation to pick out unphysical states of the universe from the mathematically general solutions of the quantum Hamiltonian constraint equations.
GENERAL FORM OF THERMODYNAMICAL ENTROPY FOR BLACK HOLE
Authors: GHOSH A. , MITRA P.
Published: October 2004

The entropy of a black hole can be different from a quarter of the area even at the semiclassical level.
LINEAL GRAVITY WITH DYNAMICAL TORSION
Authors: MIGNEMI S.
Published: October 2004

We investigate the string-inspired action for two-dimensional gravity with the addition of dynamical torsion and obtain the most general static black hole solutions. We also consider the Hamiltonian formulation of the model and discuss its symmetries, showing that it can be considered as a gauge theory of a nonlinear generalization of the two-dimensional Poincare algebra. Finally, we briefly discuss the quantization of the theory in the Dirac formalism.
NEW GAUGE BOSONS FROM STRING MODELS
Authors: CVETIČ MIRJAM , LANGACKER PAUL
Published: October 2004

We address the mass ranges of new neutral gauge bosons and constraints on the accompanying exotic particles as predicted by a class of superstring models. Under certain assumptions about the supersymmetry breaking parameters we show that breaking of an additional U(1)′ symmetry is radiative when the appropriate Yukawa couplings of exotic particles are of order one, analogous to the radiative breaking of the electroweak symmetry in the supersymmetric standard model due to the large top-quark Yukawa coupling. Such large Yukawa couplings occur for a large class of string models. The Z′ and exotic masses are either of [Formula: see text], or of a scale intermediate between the string and electroweak scales. In the former case, [Formula: see text] may be achieved without excessive fine-tuning, and is within future experimental reach.
PARTON-HADRON DUALITY IN NONLEPTONIC B HADRON DECAYS
Authors: BLOK BORIS , MANNEL THOMAS
Published: October 2004

Assuming the so-called global duality we argue that it is very likely that local duality needed to obtain results for the hadronic width of heavy meson decays within the 1/mQ expansion holds. Hence, if the discrepancy between experiment and the theory concerning charm counting, the semileptonic branching fraction and the lifetimes of b hadrons persist, it may be taken as a hint at some qualitatively new effect in (nonperturbative) QCD or at new physics.
QUASIHOLE WAVE FUNCTIONS FOR THE CALOGERO MODEL
Authors: POLYCHRONAKOS ALEXIOS P.
Published: October 2004

The one-quasihole wave functions and their norms are derived for the system of particles on the line with inverse-square interactions and harmonic confining potential.
CLASSICALLY INTEGRABLE COSMOLOGICAL MODELS WITH A SCALAR FIELD
Authors: SUZUKI HISAO , TAKASUGI EIICHI , TAKAYAMA YASUHIRO
Published: October 2004

New classes of classically integrable models in the cosmological theories with a scalar field are obtained by using the freedoms of defining time and fields. In particular, some models with the sum of exponential potentials in the flat spatial metric are shown to be integrable. The model with the sine-Gordon potential can be solved in terms of analytic continuation of the nonperiodic Toda field theory.
WZNW MODELS FROM NONSTANDARD BILINEAR FORMS
Authors: ARFAEI H. , PARVIZI S.
Published: October 2004

We study the WZNW models based on nonstandard bilinear forms. We approach the problem from algebraic, perturbative and functional exact methods. It is shown that even in the case of integer k we can find irrational CFTs. We prove that when the base group is noncompact with non-Abelian maximal compact subgroup, the affine algebra representations are nonunitary.
SPECIAL GEOMETRY AND TWISTED MODULI IN ORBIFOLD THEORIES WITH CONTINUOUS WILSON LINES
Authors: SABRA W.A. , THOMAS S. , VANEGAS N.
Published: October 2004

Target space duality symmetries, which acts on Kähler and continuous Wilson line moduli, of a ZN (N≠2) two-dimensional subspace of the moduli space of orbifold compactification are modified to include twisted moduli. These spaces described by the cosets [Formula: see text] are special Kähler, a fact which is exploited in deriving the extension of tree level duality transformation to include higher orders of the twisted moduli. Also, restrictions on these higher order terms are derived.
THE ZERO CURVATURE FORMULATION OF TB, sTB HIERARCHY AND TOPOLOGICAL ALGEBRAS
Authors: DAS ASHOK , ROY SHIBAJI
Published: October 2004

A particular dispersive generalization of long water wave equation in (1+1) dimensions, which is important in the study of matrix models without scaling limit, known as two-Boson (TB) equation, as well as the associated hierarchy has been derived from the zero curvature condition on the gauge group SL (2, R) ⊗ U (1). The supersymmetric extension of the two-Boson (sTB) hierarchy has similarly been derived from the zero curvature condition associated with the gauge supergroup OSp (2|2). Topological algebras arise naturally as the second Hamiltonian structure of these classical integrable systems, indicating a close relationship of these models with 2-D topological field theories.
THE QUARK CONDENSATE IN THE GELL-MANN-OAKES-RENNER RELATION
Authors: LANGFELD K. , KETTNER C.
Published: October 2004

The quark condensate which enters the Gell-Mann-Oakes-Renner (GMOR) relation, is investigated in the framework of one-gluon-exchange models. The usual definition of the quark condensate via the trace of the quark propagator produces a logarithmic divergent condensate. In the product of current mass and condensate, this divergence is precisely compensated by the bare current mass. The finite value of the product in fact does not contradict the relation recently obtained by Cahill and Gunner. Therefore the GMOR relation is still satisfied.
ORBIFOLDS OF M-THEORY AND STRING THEORY
Authors: SEN ASHOKE
Published: October 2004

It is shown that many of the conjectured dualities involving orbifold compactification of M-theory follow from the known dualities involving M-theory and string theory in 10 dimensions, and the ansatz that orbifolding procedure commutes with the duality transformation. This ansatz also leads to a new duality conjecture, namely that M-theory compactified on T8/Z2 is dual to type I string theory on T7. In this case the “twisted sector states” in M-theory live on 16 membranes transverse to the internal manifold.
IRREDUCIBLE q-BOSON REALIZATIONS: THE SYMMETRIC CASE
Authors: NEGRO JAVIER
Published: October 2004

A class of irreducible realizations of the symmetric q-boson algebra is characterized by means of q-differential operators {x, ∂x}. These realizations are used, following the factorization method, in order to solve a hierarchy of q-equations.
A CALOGERO-SUTHERLAND TYPE MODEL FOR BRANCHED POLYMERS
Authors: JATKAR DILEEP P. , KHARE AVINASH
Published: October 2004

We show that a Calogero-Sutherland type model with anharmonic interactions of fourth and sixth orders leads to the matrix model corresponding to branched polymers. We also show that by suitably modifying this model one can also obtain N-particle problems which are connected to matrix models corresponding to the pure gravity phase as well as corresponding to the transition point between the soap bubble and the branched polymer phase.
ON THE POSSIBILITY OF DETECTING THE ANNIHILATION OF VERY HEAVY NEUTRINOS IN THE GALACTIC HALO BY 1 km3 NEUTRINO DETECTOR
Authors: FARGION D. , KHLOPOV M. YU. , KONOPLICH R.V. , KONOPLICH V.R. , MIGNANI R.
Published: October 2004

We consider the possibility of detecting in a hypothetical 1 km3 neutrino telescope high energy neutrinos resulting from the annihilation of very heavy neutrinos of fourth generation in the galactic halo. It is shown that such a large telescope could in principle detect this negligible component which, if it does exist, gives a contribution of order 10–2 to the dark matter of the universe.
EXACTNESS FOR QUANTUM BF THEORIES
Authors: TAHIRI M.
Published: October 2004

We establish the exactness of the complete quantum action of arbitrary dimensional BF theories with respect to an off-shell nilpotent and metric independent BRST operator. This is realized by enlarging the system of fields in such theories by extra ghosts playing the role of auxiliary fields.
INTERACTION HIERARCHY: STRING AND QUANTUM GRAVITY
Authors: SAVVIDY G.K. , SAVVIDY K.G.
Published: October 2004

We have found that the functional integral for quantum gravity can be represented as a superposition of less complicated theory of random surfaces with Euler character as an action. We propose an alternative linear action A(M4) for quantum gravity. On the lattice we constructed spin system with local interaction, which has the equivalent partition function. The scaling limit is discussed.
FINITE Q-OSCILLATOR REPRESENTATION OF 2-D STRING THEORY
Authors: JEVICKI ANTAL , TONDER ANDRÉ VAN
Published: October 2004

We present a simple physical representation for states of two-dimensional string theory. In order to incorporate a fundamental cutoff of the order 1/gst we use a picture consisting of q oscillators at the first quantized level. In this framework we also find a representation for the (singular) negatively dressed states representing nontrivial string backgrounds.
ON LOCAL OBSERVATIONS IN QUANTUM GRAVITY
Authors: CAMELIA GIOVANNI AMELINO
Published: October 2004

By taking into account both quantum mechanical and general relativistic effects, we derive an equation that describes limitations on the measurability of spacetime distances as defined by a material reference system.
CONTRACTION OF HIGHER ORDER DERIVATIVE SUSY ALGEBRAS IN QUANTUM MECHANICS WITH LARGE ENERGY GAP
Authors: ANDRIANOV A.A. , IOFFE M.V. , CANNATA F.
Published: October 2004

Starting from a polynomial (higher-order derivative) quantum mechanical SUSY algebra we study its contraction to the standard SUSYQM in the limit of large energy shifts between the lowest states of the super-Hamiltonian (of Schrödinger type). By a quasi-linearization method we obtain the charges of the higher derivative SUSY algebra in the (singular) limit of infinite energy gap, and find the resulting Hamiltonian. The singular behavior of the potential generated by this construction reflects the existence of the very deep level. Our results can suggest constructions of toy models where large energy splittings between fermionic and bosonic partners do not affect SUSY for other states.
INFLUENCE OF THE GRAVITATIONAL FIELD ON THE QUANTUM STATES OF THE ELECTRON IN A PENNING TRAP
Authors: STAUDT R. , SCHRÖDER U.E.
Published: October 2004

Starting from the general covariant Dirac equation with minimal coupling of an electromagnetic field the corrections to the energy levels of the electron in a Penning trap caused by the gravitational field of the Earth are computed. Our discussion shows that the resulting effect is detectable only at the specific eigenfrequencies of the electron. The relative shift of these frequencies due to the gravitational field is found to be 2.1×10–9. It is briefly indicated how this effect in principle could be observed in suitable experiments performed with higher precision.
A NEWTONIAN INTERPRETATION OF THE PARAMETER “a” ASSOCIATED WITH THE KERR METRIC
Authors: SENGUPTA SUJAN
Published: October 2004

The parameter “a” associated with the Kerr metric has been used to determine the rotationally induced quadrapole electric field outside a rotating massive object with external dipole magnetic field. A comparison of the result with that of the Newtonian case implies that the parameter “a” represents the angular momentum per unit mass of a rotating hollow object.
CLASSICAL AND QUANTUM WORMHOLES WITH PERFECT FLUIDS AND SCALAR FIELDS
Authors: CARLINI A. , COULE D.H. , SOLOMONS D.M.
Published: October 2004

Euclidean wormholes are obtained by the analytic continuation of closed recollapsing Friedmann-Robertson-Walker universes. We demonstrate this for a perfect fluid satisfying the strong energy condition. The quantum versions of such wormholes are consistent with the Hawking-Page (HP) conjecture for quantum wormholes as solutions of the Wheeler-DeWitt equation. We contrast this with a classical change of signature approach which, although might be consistent with the existence of classical wormholes for a given definition of the energy-momentum tensor of the fluid, upon quantization gives everywhere oscillatory wave functions which do not satisfy the HP conjecture.
STRING SCATTERING OFF THE (2 + 1)-DIMENSIONAL ROTATING BLACK HOLE
Authors: NATSUUME MAKOTO , SAKAI NORISUKE , SATO MASAMICHI
Published: October 2004

The SL (2, R)/Z WZW orbifold which describes the (2+1)-dimensional black hole approaching anti-de Sitter space asymptotically. We study the 1 → 1 tachyon scattering off the rotating black hole background and calculate the Hawking temperature using the Bogoliubov transformation.
EXACTLY SOLVABLE POINTS IN THE MODULI SPACE OF HETEROTIC N=2 STRINGS
Authors: BLUMENHAGEN RALPH , WIßKIRCHEN ANDREAS
Published: October 2004

We investigate the subset of exactly solvable (0, 4) worldsheet supersymmetric string vacua contained in a recent class of Gepner-like (0, 2) superconformal models. The identification of these models with certain points of enhanced gauge symmetry on K3×T2 can be achieved completely. Furthermore, we extend the construction of in general (0, 2) supersymmetric exactly solvable models to the case where also a nontrivial part of the vector bundle is embedded into the hidden E8 gauge group. For some examples we explicitly calculate the enhanced gauge symmetries and show that they open up the way to interesting branches of the N=2 moduli space. For some of these models candidates of type-II dual descriptions exist.
q-DEFORMED ALGEBRAS AND THE TWO-ANYON PROBLEM
Authors: ROY P.
Published: October 2004

It is shown that the two-anyon system in a harmonic oscillator potential and in a constant magnetic field admits certain q-deformed symmetry algebras realized over the space of wave functions of the respective systems.
SPACETIME DUALITY AND $\frac{{{\rm{SU}}\left( {n,\,1} \right)}}{{{\rm{SU}}\left( n \right) \otimes {\rm{U}}\left( 1 \right)}}$ COSETS OF ORBIFOLD COMPACTIFICATION
Authors: SABRA W.A.
Published: October 2004

The duality symmetry group of the cosets [Formula: see text] which describe the moduli space of a two-dimensional subspace of an orbifold model with (n – 1) complex Wilson lines moduli, is discussed. The full duality group and its explicit action on the moduli fields are derived.
HAMILTONIAN BRST QUANTIZATION OF (1 + 1)-DIMENSIONAL MASSIVE VECTOR FIELDS
Authors: SAWAYANAGI HIROHUMI
Published: October 2004

The Lagrangian of a (1 + 1)-dimensional massive vector field is quantized. Since it gives the system with second-class constraints, following Batalin and Fradkin, we introduce additional fields. Although the Stueckelberg field is usually introduced, we can use a pseudoscalar field instead. The duality between them is discussed. We show that the Stueckelberg mass term is equivalent to the Laplace transform of the Lagrangian of the gauged Wess-Zumino-Witten model.
B-S EQUATION ANALYSIS OF HEAVY BARYON DECAYS
Authors: GUO X.-H. , MUTA T.
Published: October 2004

As heavy baryon ΛQ (Q=b or c) consists of a heavy quark and a scalar light diquark, we establish the Bethe-Salpeter (B-S) equation for ΛQ in the heavy quark limit. With the reasonable kernel we solve the B-S equation numerically and calculate the Isgur-Wise function as Λb→Λc.
DENSITY FLUCTUATIONS ON SUPER-HUBBLE SCALES
Authors: FANG LI-ZHI , JING YI-PENG
Published: October 2004

According to causality, the existence of density perturbations on scales larger than the present Hubble radius y = 2c/H0 is crucial to discriminate between inflation and non-inflation models of the origin of inhomogeneity of the universe. Observations of the cosmic background radiation anisotropies favor a super-Hubble suppression on scales λmax in the range 0.5–3.0y. Many of non-inflation models are consistent with such a suppression. Inflation models are certainly not in conflict with this suppression, however one important parameter, the duration of the epoch of inflation, may need to be fine tuned.
HIGHER COVARIANT DERIVATIVE REGULARIZATION REVISITED
Authors: BAKEYEV T.D. , SLAVNOV A.A.
Published: October 2004

The method of higher covariant derivative regularization of gauge theories is reviewed. The objections raised in the literature last few years are discussed and the consistency of the method is proven. New approach to regularization of overlapping divergencies is developed.
CHARMONIUM PRODUCTION AT THE LHC
Authors: SRIDHAR K.
Published: October 2004

The analyses of large transverse momentum charmonium production at the Tevatron have shown that fragmentation of gluons is an important production mechanism. We study large-pT charmonium production in pp collisions at the LHC, and find that due to the copious gluon production at this energy, the gluon fragmentation contribution completely overwhelms the fusion contribution and the charm quark fragmentation contribution. Our analysis shows that for J/ψ production at the LHC, there is a significant event rate even for pT ~ 100 GeV. The measurement of the cross-section at such large values of pT will provide a very important test of the fragmentation mechanism.
NEW FEATURES IN SUPERSYMMETRY BREAKDOWN IN QUANTUM MECHANICS
Authors: SAMSONOV BORIS F.
Published: October 2004

The supersymmetric quantum mechanical model based on higher-derivative supercharge operators possessing unbroken supersymmetry and discrete energies below the vacuum state energy is described. As an example harmonic oscillator potential is considered.
DYNAMICAL MASS GENERATION AND CRITICAL CURVATURE IN THE O(N) NONLINEAR SIGMA MODEL
Authors: SONG DAE-YUP
Published: October 2004

The large-N nonlinear O(N) sigma model with the curvature coupled term ξRn2 is examined on a spacetime of R1×S2 topology (three-dimensional static Einstein universe). Making use of the cutoff method, we find the renormalized effective potential which shows that, for ξ>1/8, there is a second-order phase transition. Above the critical curvature, the dynamical mass generation does not take place even in the strong-coupled regime. The phase structure of the model on S2 is also discussed.
1/Nc EXPANSION FOR THE PARTITION FUNCTION IN FOUR-FERMION MODELS
Authors: BARDUCCI A. , CASALBUONI R. , MODUGNO M. , PETTINI G. , GATTO R.
Published: October 2004

We present a derivation of the bosonic contribution to the thermodynamical potential of four-fermion models by means of a 1/N c -expansion of the functional integral defining the partition function. This expansion turns out to be particularly useful in correcting the mean field approximation especially at low temperatures, where the relevant degrees of freedom are low-mass bosonic excitations (pseudo-Goldstones).
ON A GAUGE INVARIANT QUANTUM FORMULATION FOR NON-GAUGE CLASSICAL THEORY
Authors: BUCHBINDER I.L. , PERSHIN V.D. , TODER G.B.
Published: October 2004

We propose a method of constructing a gauge invariant canonical formulation for non-gauge classical theory which depends on a set of parameters. Requirement of closure for algebra of operators generating quantum gauge transformations leads to restrictions on parameters of the theory. This approach is then applied for illustration to bosonic string theory coupled to background tachyonic field. It is shown that within the proposed canonical formulation the known mass-shell condition for tachyon is produced.
THRESHOLD AMPLITUDES IN FIELD THEORIES AND INTEGRABLE SYSTEMS
Authors: GORSKY A. , SELIVANOV K.
Published: October 2004

We discuss the threshold tree amplitudes in different nonintegrable quantum field theories in the framework of integrability. The amplitudes are related to some Baker functions defined on the auxiliary spectral curves and the nullification phenomena are shown to allow a topological interpretation.
A NOTE ON QUANTUM BOHLIN TRANSFORMATION
Authors: NERSESSIAN A. , TER-ANTONYAN V. , TSULAIA M.
Published: October 2004

It is shown that the reduction of the circular quantum oscillator by the Z2 group action results in the two systems: a two-dimensional hydrogen atom, and a “charge-charged magnetic vortex” one, with spin-1/2. Analogously, the ZN reduction of the two-dimensional system with the central potential r2(N–1) results into N bound “charge-magnetic vertex” systems with the interaction potential r2(1/N–1) and spins [Formula: see text]k = 0, 1,…, N - 1.