bluuebunny/crossref_metadata_2025 huggingface dataset:
INTEGRAL TRANSFORM TECHNIQUE FOR MESON WAVE FUNCTIONS
Authors: BAKULEV A.P. , MIKHAILOV S.V.
Published: October 2004

In a recent paper1 we have proposed a new approach for extracting the wave function of the π-meson φπ(x) and the masses and wave functions of its first resonances from the new QCD sum rules for nondiagonal correlators obtained in Ref. 2. Here, we test our approach using an exactly solvable toy model as illustration. We demonstrate the validity of the method and suggest a pure algebraic procedure for extracting the masses and wave functions relating to the case under investigation. We also explore the stability of the procedure under perturbations of the theoretical part of the sum rule. In application to the pion case, this results not only in the mass and wave function of the first resonance (π′), but also in the estimation of π″-mass.
DIMENSIONAL TRANSMUTATION AND SYMMETRY BREAKING IN MAXWELL-CHERN-SIMONS SCALAR QED
Authors: NOGUEIRA F.S. , SVAITER N.F.
Published: October 2004

The mechanism of dimensional transmutation is discussed in the context of Maxwell-Chern-Simons scalar QED. We evaluate the effective potential using the saddle point method through the functional integral formalism. An instability is found for λ>λ c where λ is the quartic scalar self-coupling. It is found that the symmetry breaking vacuum is more stable when the Chern-Simons mass is different from zero.
WEIGHT SYSTEMS FOR TORIC CALABI-YAU VARIETIES AND REFLEXIVITY OF NEWTON POLYHEDRA
Authors: SKARKE HARALD
Published: October 2004

According to a recently proposed scheme for the classification of reflexive polyhedra, weight systems of a certain type play a prominent role. These weight systems are classified for the cases n = 3 and n = 4, corresponding to toric varieties with K3 and Calabi-Yau hypersurfaces, respectively. For n = 3 we find the well-known 95 weight systems corresponding to weighted ℙ3’s that allow transverse polynomials, whereas for n = 4 there are 184,026 weight systems, including the 7555 weight systems for weighted ℙ4’s. It is proven (without computer) that the Newton polyhedra corresponding to all these weight systems are reflexive.
CONFORMAL INVARIANCE, N-EXTENDED SUPERSYMMETRY AND MASSLESS SPINNING PARTICLES IN ANTI-DE SITTER SPACE
Authors: KUZENKO S.M. , YAREVSKAYA J.V.
Published: October 2004

Starting with a manifestly conformal (O(d, 2) invariant) mechanics model in d space and two time dimensions, we derive the action for a massless spinning particle in d-dimensional anti-de Sitter space. The action obtained possesses both gauge N-extended worldline supersymmetry and local O(N) invariance. Thus we improve the old statement by Howe et al. that the spinning particle model with extended worldline supersymmetry admits only flat spacetime background for N>2 (spin greater one). The original (d+2)-dimensional model is characterized by rather unusual property that the corresponding supersymmetry transformations do not commute with the conformal ones, in spite of the explicit O(d, 2) invariance of the action.
INFRARED REGULARIZATION OF YANG-MILLS THEORIES
Authors: BLASI ALBERTO , MAGGIORE NICOLA
Published: October 2004

We introduce an infrared regulator in Yang-Mills theories under the form of a mass term for the non-Abelian fields. We show that the resulting action, built in a covariant linear gauge, is multiplicatively renormalizable by proving the validity at all orders of the Slavnov identity defining the theory.
ON THE STRING ACTIONS FOR THE GENERALIZED TWO-DIMENSIONAL YANG-MILLS THEORIES
Authors: SUGAWARA YUJI
Published: October 2004

We study the structures of partition functions of the large-N generalized two-dimensional Yang-Mills theories (gY M2) by recasting the higher Casimirs. We clarify the appropriate interpretations of them and try to extend the Cordes-Moore-Ramgoolam’s topological string model describing the ordinary4Y M2 to those describing gY M2. We present the expressions of the appropriate operators to reproduce the higher Casimir terms in gY M2. The concept of “deformed gravitational descendants” will be introduced for this purpose.
IS LEPTON-QUARK MASS PRESET BY A CHARGE-NUMBER RELATION?
Authors: ROSEN GERALD
Published: October 2004

It is shown that a simple expression for m that depends exclusively on the charge-number Q gives experimentally admissible zero mass for the three neutrinos and accurately consistent mass values for the charged leptons and quarks over the five order-of-magnitude range characterized by the ratio mt/me≅3.6×105. Since this charge-number relation is patently predictive, with 12 fermion masses constituting substantial output relative to the postulational input, lepton and quark mass may indeed be preset by this charge-number condition. Hence, lepton-quark mass may actually be primary to the phenomenological standard model Lagrangian.
EXACT SOLUTIONS OF (1 + 1)-DIMENSIONAL DILATON GRAVITY COUPLED TO MATTER
Authors: FILIPPOV A.T.
Published: October 2004

A class of integrable models of (1 + 1)-dimensional dilaton gravity coupled to scalar and electromagnetic fields is obtained and explicitly solved. More general models are reduced to (0 + 1)-dimensional Hamiltonian systems, for which two integrable classes (called s-integrable) are found and explicitly solved. As a special case, static spherical solutions of the Einstein gravity coupled to electromagnetic and scalar fields in any real spacetime dimension are derived. A generalization of the “no-hair” theorem is pointed out and the Hamiltonian formulation that enables an exact quantization of the s-integrable systems is outlined.
QUANTUM N = 2${\rm SUPER}-W_3^{\left( 2 \right)} $ ALGEBRA IN SUPERSPACE
Authors: AHN C. , IVANOV E. , KRIVONOS S. , SORIN A.
Published: October 2004

We discuss the N=2 extension of Polyakov-Bershadsky [Formula: see text] algebra with the generic central charge, c, at the quantum level in superspace. It contains, in addition to the spin-1 N = 2 stress tensor, the spins 1/2, 2 bosonic and spins 1/2, 2 fermionic super-currents satisfying the first-class nonlinear chiral constraints. In the c→∞ limit, the “classical” [Formula: see text]algebra is recovered.
INTEGRABLE CHERN-SIMONS GAUGE FIELD THEORY IN 2+1 DIMENSIONS
Authors: PASHAEV O.K.
Published: October 2004

The classical spin model in planar condensed media is represented as the U(1) Chern-Simons gauge field theory. When the vorticity of the continuous flow of the media coincides with the statistical magnetic field, which is necessary for the model’s integrability, the theory admits zero curvature connection. This allows us to formulate the model in terms of gauge-invariant fields whose evolution is described by the Davey-Stewartson (DS) equations. The Self-dual Chern-Simons solitons described by the Liouville equation are subjected to the corresponding integrable dynamics. As a by-product the (2+1)-dimensional zero-curvature representation for the DS equation is obtained as well as the new reduction conditions related to the DS-I case. The physical interpretation of the Bäcklund transformations in terms of the Chern-Simons gauge theory is given. Some possible applications for the statistical transmutation in the anyon superfluid and TQFT are briefly discussed.
ON THE EVOLUTION OPERATOR KERNEL FOR THE COULOMB AND COULOMB-LIKE POTENTIALS
Authors: SLOBODENYUK V.A.
Published: October 2004

With the help of the Schwinger-DeWitt expansion analytical properties of the evolution operator kernel for the Schrödinger equation in time variable t are studied for the Coulomb and Coulomb-like potentials (which becomes 1/|q| as |q|→0). It turned out that the Schwinger-DeWitt expansion for them is divergent. So, the kernels for these potentials have additional (beyond δ-like) singularities at t=0. Hence, the initial condition is fulfilled only in asymptotic sense. It is established that the potentials considered do not belong to the class of potentials, which have exactly δ-like singularity at t=0 and for which the initial condition is fulfilled in rigorous sense (such as [Formula: see text] for integer λ).
NEW EXACTLY AND CONDITIONALLY EXACTLY SOLVABLE N-BODY PROBLEMS IN ONE DIMENSION
Authors: GURAPPA N. , KUMAR C. NAGARAJA , PANIGRAHI PRASANTA K.
Published: October 2004

We study a class of Calogero-Sutherland type one-dimensional N-body quantum mechanical systems, with potentials given by [Formula: see text] where [Formula: see text] are of specific form. It is shown that, only for a few choices of U, the eigenvalue problems can be solved exactly for arbitrary g′. The eigenspectra of these Hamiltonians, when g′≠0, are nondegenerate and the scattering phase shifts are found to be energy-dependent. It is further pointed out that, the eigenvalue problems are amenable to solution for wider choices of U, if g′ is conveniently fixed. These conditionally exactly solvable problems also do not exhibit energy degeneracy and the scattering phase shifts can be computed only for a specific partial wave.
(2+1) NULL-PLANE QUANTUM POINCARÉ GROUP FROM A FACTORIZED UNIVERSAL R-MATRIX
Authors: BALLESTEROS ANGEL , HERRANZ FRANCISCO J.
Published: October 2004

The nonstandard (Jordanian) quantum deformations of so(2, 2) and (2+1) Poincare algebras are constructed by starting from a quantum sl(2, ℝ) basis such that simple factorized expressions for their corresponding universal R-matrices are obtained. As an application, the null-plane quantum (2+1) Poincare Poisson-Lie group is quantized by following the FRT prescription. Matrix and differential representations of this null-plane deformation are presented, and the influence of the choice of the basis in the resultant q-Schrödinger equation governing the deformed null-plane evolution is commented.
TEST OF THE EQUIVALENCE PRINCIPLE USING ATOMIC VACUUM ENERGY SHIFTS
Authors: ALVAREZ C. , MANN R.B.
Published: October 2004

We consider possible tests of the Einstein equivalence principle for quantum-mechanical vacuum energies by evaluating the Lamb shift transition in a class of nonmetric theories of gravity described by the T H εµ formalism. We compute to lowest-order the associated redshift and time dilation parameters, and discuss how (high-precision) measurements of these quantities could provide new information on the validity of the equivalence principle.
GAUGING OF LORENTZ GROUP WZW MODEL BY ITS NULL SUBGROUP
Authors: GHEZELBASH AMIR MASOUD
Published: October 2004

We consider the standard vector gauging of Lorentz group SO(3, 1) WZW model by its non-semisimple null Euclidean subgroup in two dimensions E(2). The resultant effective action of the theory is seen to describe a one-dimensional bosonic field in the presence of external charge that we interpret as a Liouville field. By gauging a boosted SO(3) subgroup, we find that in the limit of the large boost, the theory can be interpreted as an interacting Toda theory. We take also the generalized nonstandard bilinear form for SO(3, 1) and gauge both SO(3) and E(2) subgroups and discuss the resultant theories.
DIMENSIONAL REDUCTION OF DUAL TOPOLOGICAL THEORIES
Authors: OLSEN KASPER
Published: October 2004

We describe the reduction from four to two dimensions of the SU(2) Donaldson–Witten theory and the dual twisted Seiberg–Witten theory, i.e. the Abelian topological field theory corresponding to the Seiberg–Witten monopole equations.
LIOUVILLE AND TODA SOLITONS IN M-THEORY
Authors: LÜ H. , POPE C.N. , XU K.W.
Published: October 2004

We study the general form of the equations for isotropic single-scalar, multi-scalar and dyonic p-branes in superstring theory and M-theory, and show that they can be cast into the form of Liouville, Toda (or Toda-like) equations. The general solutions describe non-extremal isotropic p-branes, reducing to the previously-known extremal solutions in limiting cases. In the non-extremal case, the dilatonic scalar fields are finite at the outer event horizon.
MATRIX MODELS OF TWO-DIMENSIONAL GRAVITY AND DISCRETE TODA THEORY
Authors: HISAKADO MASATO , WADATI MIKI
Published: October 2004

Recursion relations for orthogonal polynomials, arising in the study of one-matrix model of two-dimensional gravity, are shown to be equivalent to the equations of the Toda-chain hierarchy supplemented by additional Virasoro constraints. This is the case without the double scaling limit. A discrete time variable to the matrix model is introduced. The discrete time dependent partition functions are given by τ functions which satisfy the discrete Toda molecule equation. Further the relations between the matrix model and the discrete time Toda theory are discussed.
YANG–MILLS VACUUM STRUCTURE AND QUANTUM GRAVITY
Authors: ODINTSOV S. , PERCACCI R.
Published: October 2004

Using renormalization group methods, we calculate the derivative expansion of the effective Lagrangian for a covariantly constant gauge field in curved spacetime. Curvature affects the vacuum; in particular it could induce phase transitions between different vacua. We also consider the effect of quantum fluctuations of the metric, in the context of a renormalizable R2 theory. In this case the critical curvature depends on the gravitational coupling constants.
SPIN AND MADELUNG FLUID
Authors: SALESI GIOVANNI
Published: October 2004

Starting from the Pauli current we obtain the decomposition of the nonrelativistic local velocity in two parts: one parallel and the other orthogonal to the impulse. The former is recognized as the “classical” part, that is, the velocity of the center-of-mass, and the latter the “quantum” one, that is, the velocity of the motion in the center-of-mass frame (namely, the internal “spin motion” or zitterbewegung), Inserting the complete expression of the velocity into the kinetic energy term of the classical nonrelativistic (i.e. Newtonian) Lagrangian, we straightforwardly get the appearance of the so-called quantum potential associated, as it is known, to the Madelung fluid. In such a way, the quantum mechanical behavior of particles appears to be strictly correlated to the existence of spin and zitterbewegung.
SELF-ENERGY PECULIARITIES OF THE HOT GAUGE THEORY AFTER SYMMETRY BREAKING
Authors: KALASHNIKOV O.K.
Published: October 2004

A tensor representation of the gluon propagator is found within covariant gauges for a non-Abelian theory after symmetry breaking due to ≠0 and the exact equations which determine the dispersion laws of plasma excitations are explicitly obtained. In the high temperature region and fixing the Feynman gauge we solved these equations to find the damping of the plasma oscillations and the shifting of their frequency. The phase transition of a gauge symmetry restoration is estimated to be αc(T)≈4/3.
SEESAW-TYPE QUARK MASS MATRIX AND NEUTRON ELECTRIC DIPOLE MOMENT
Authors: WATANUKI KEN , OHBA ICHIRO
Published: October 2004

The neutron electric dipole moment (EDM) is investigated in detail. We assume a phenomenologically successful seesaw-type quark mass matrix. If the neutron EDM is observed at slightly below the present experimental bound (10–26–10–25 e · cm ), we can conclude that there must exist a vector-like quark a little heavier than the heavier neutral Higgs boson, or both of them have equal masses around 1 TeV.
ON ANYONIC VARIABLES AND FRACTIONAL SUPERSYMMETRY
Authors: AHMED E.
Published: October 2004

A modified definition for anyonic variables is given. They are used to construct a representation for superspace of fractional supersymmetry in two dimensions. An extension to higher dimensions is presented.
STRINGS WITH AXIONIC CONTENT AND BARYOGENESIS
Authors: FIORE ROBERTO , MASPERI LUIS , MÉGEVAND ARIEL
Published: October 2004

We describe different electroweak strings with axionic content, including non-topological configurations calculated numerically, and show their possible influence on baryogenesis indicating that they may constitute a mechanism competitive to that of bubble nucleation with two Higgs-doublets.
CALOGERO–SUTHERLAND PARTICLES AS QUASISEMIONS
Authors: AMELINO-CAMELIA GIOVANNI
Published: October 2004

The ultraviolet structure of the Calogero–Sutherland models is examined. and, in particular, semions result to have special properties. An analogy with ultraviolet structures known in anyon quantum mechanics is drawn, and it is used to suggest possible physical consequences of the observed semionic properties.
AUTOMATIC CP-INVARIANCE AND FLAVOR SYMMETRY
Authors: DUTTA GAUTAM , JOSHIPURA ANJAN S.
Published: October 2004

The approximate conservation of CP can be naturally understood if it arises as an automatic symmetry of the renormalizable Lagrangian. We present a specific realistic example with this feature. In this example, the global Peccei–Quinn symmetry and gauge symmetries of the model make the renormalizable Lagrangian CP-invariant but allow nonzero hierarchical masses and mixing among the three generations. The left–right and a horizontal U (1)H symmetry is imposed to achieve this. The non-renormalizable interactions invariant under these symmetries violate CP whose magnitude can be in the experimentally required range if U (1)H is broken at very high, typically, near the grand unification scale.
b→sγ AND ε1 CONSTRAINTS ON SUPERGRAVITY MODELS
Authors: PARK GYE T.
Published: October 2004

In the light of the top quark discovered very recently by CDF, we investigate the possibility of narrowing down the allowed top quark masses by combining for the first time only two strongest constraints present in the no-scale SU (5)× U (1) supergravity model, namely, the ones from the flavor-changing radiative decay b→sγ and the precision measurements at LEP in the form of ε1. It turns out that even without including the most devastating constraint from [Formula: see text] measurement at LEP in the form of Rb directly or εb indirectly, the combined constraint from b→sγ and ε1 alone in fact excludes mt(mt)≳180 GeV altogether in the no-scale model, providing a constraint on mt near the upper end of the CDF values. The resulting upper bound on mt is stronger and 5 GeV lower than the one from combining ε1 and εb constraints and also combining b→sγ and εb constraints in the previous analysis.
NONPERTURBATIVE ORIGIN FOR THE $s -d\ \Delta I =\frac{1}{2}$ TRANSITION AMPLITUDE?
Authors: ELIAS VICTOR
Published: October 2004

The u-quark’s nonperturbative-QCD contribution to the s–d self-energy amplitude, though naively of sufficient magnitude (GF <ūu> sin θc cos θc) to enhance [Formula: see text] strangeness-changing processes, is shown to be suppressed by an additional factor of [Formula: see text], and to vanish in the chiral limit.
FRAMEWORK FOR NATURALLY LIGHT SINGLET NEUTRINOS
Authors: MA ERNEST
Published: October 2004

The totality of present neutrino data seems to require four light neutrinos, but only three of them can be the neutral components of left-handed lepton doublets. To accommodate one or more naturally light singlet neutrino(s), an extra U(1) gauge factor is proposed to implement an analogous seesaw mechanism which accounts for the light doublet neutrinos. Using the constraints of anomaly cancellation, the property of this U(1) is determined. The most attractive theoretical framework is that of a supersymmetric SU (3)C× SU (2)L× U (1)Y× U (1)N model already proposed.
BOUND STATES OF SINGLET QUARKS AT LHC
Authors: KRASNIKOV N.V.
Published: October 2004

We discuss the discovery potential of the bound states of singlet quarks at LHC. We find that it is possible to discover bound states of singlet quarks at LHC with singlet quark masses up to 300 GeV for eQ=2/3 and up to 200 GeV for eQ=−1/3.
CURVATURE EXPANSION FOR THE BACKGROUND-INDUCED GLUODYNAMICS STRING
Authors: ANTONOV D.V. , EBERT D. , SIMONOV YU. A.
Published: October 2004

Using the cumulant expansion for an averaged Wilson loop we derive an action of the gluodynamics string in the form of a series in powers of the correlation length of the vacuum. In the lowest orders it contains the Nambu–Goto term and the rigidity term with the corresponding coupling constants computed from the bilocal correlator of gluonic fields. Some higher derivative corrections are also calculated.
GENERALIZED HAMILTONIAN EMBEDDING OF THE PROCA MODEL
Authors: BANERJEE N. , BANERJEE R.
Published: October 2004

We convert the second-class Proca model into a first-class theory by using the generalized prescription of Batalin, Fradkin and Tyutin. We then show how a basic set of gauge-invariant fields in the embedded model can be identified with the fundamental fields in the Proca model as well as with the observables in the Stückelberg model or in the model involving the interaction of an Abelian two-form field with the Maxwell field. The connection of these models with the massive Kalb–Ramond model is also elucidated within a path integral approach.
FUSION RULES FOR EXTENDED CURRENT ALGEBRAS
Authors: BAVER ERNEST , GEPNER DORON
Published: October 2004

The initial classification of fusion rules have shown that rational conformal field theory is very limited. In this letter we study the fusion rules of extended current algebras. Explicit formulas are given for the S-matrix and the fusion rules, based on the full splitting of the fixed point fields. We find that in some cases sensible fusion rules are obtained, while in others this procedure leads to fractional fusion constants.
MESON BOUND STATES IN MULTIFLAVOR MASSIVE SCHWINGER MODEL
Authors: SADZIKOWSKI M. , WȨGRZYN P.
Published: October 2004

The problem of meson bound states with Nf massive fermions in two-dimensional quantum electrodynamics is discussed. We monitor the spectrum of the lightest particles by means of the effective semiclassical description. In particular, the systems of fundamental fermions with SU(2) and SU(3) flavor symmetries broken by massive terms are investigated.
EFFICIENCY OF SWIMMING OF MICRO-ORGANISM AND SINGULARITY IN SHAPE SPACE
Authors: KAWAMURA MASAKO
Published: October 2004

Micro-organisms can be classified into three different types according to their sizes. We study the efficiency of the swimming of micro-organism in two-dimensional fluid as a device for helping the explanation of this hierarchy in terms of size. We show that the efficiency of flagellate becomes unboundedly large, whereas that of ciliate has the upper bound. The unboundedness is related to the curious feature of the shape space, that is, a singularity at the basic shape of flagellate.
THE PARABOSON REALIZATION OF PARAFERMIONS
Authors: BANG HA HUY
Published: October 2004

The paraboson realizations of parafermions have been derived from q-deformed oscillator. Interestingly, they can reproduce the constructing fermions in terms of a single-mode boson1 and its generalization2 in the limiting cases.
QUASI-EXACTLY-SOLVABLE MANY-BODY PROBLEMS
Authors: MINZONI A. , ROSENBAUM M. , TURBINER A.
Published: October 2004

Explicit examples of quasi-exactly-solvable N-body problems on the line are presented. These are related to the hidden algebra sl N, and they are of two types — containing up to N and up to six-body interactions only. Both types degenerate to the Calogero model.
LOCAL CHARGED STATES OF THE GAUGE FIELD IN THREE-DIMENSIONAL MAXWELL-TYPE THEORIES
Authors: MARINQ E.C.
Published: October 2004

Gauge-invariant local creation operators of charged states are introduced and studied in pure gauge theories of the Maxwell-type in (2+1) dimensions. These states are usually unphysical because of the subsidiary condition imposed on the physical subspace by Gauss’ law. A dual Maxwell theory which possesses a topological electric charge is introduced. Pure electrodynamics lies in the sector where the topological charge identically vanishes. Charge bearing operators completely expressed in terms of the gauge field, however, can create physical states in the nontrivial topological sectors which thereby generalize QED. An order–disorder structure exists relating the charged operators and the magnetic flux creating (vortex) operators, both through commutation rules and correlation functions. The relevance of this structure for bosonization in 2+1 dimensions is discussed.
AN EXPLICIT CONSTRUCTION OF WAKIMOTO REALIZATIONS OF CURRENT ALGEBRAS
Authors: DE BOER JAN , FEHÉR LÁSZLÓ
Published: October 2004

It is known from a work of Feigin and Frenkel that a Wakimoto type, generalized free field realization of the current algebra [Formula: see text] can be associated with each parabolic subalgebra [Formula: see text] of the Lie algebra [Formula: see text], where in the standard case [Formula: see text] is the Cartan and [Formula: see text] is the Borel subalgebra. In this letter we obtain an explicit formula for the Wakimoto realization in the general case. Using Hamiltonian reduction of the WZNW model, we first derive a Poisson bracket realization of the [Formula: see text]-valued current in terms of symplectic bosons belonging to [Formula: see text] and a current belonging to [Formula: see text]. We then quantize the formula by determining the correct normal ordering. We also show that the affine-Sugawara stress-energy tensor takes the expected quadratic form in the constituents.
STUDYING NEW PHYSICS USING ULTRAHIGH-ENERGY COSMIC-RAY γ-FAMILY DATA
Authors: HE Y.D.
Published: October 2004

This review discusses some recent developments in the study of ultrahigh-energy interactions using cosmic-ray γ-family data obtained with emulsion chambers at mountain altitudes. The apparent excess of the event rate at large transverse momenta with respect to the prediction based on perturbative QCD indicates new interaction mechanisms at E lab ≃104–105 TeV, an energy regime beyond the reach of existing colliders. To reconcile the data with a compositeness model of quarks, the characteristic energy scale would have to be as low as Λc≤0.1 TeV, in conflict with the lower limit of Λc>1.4 TeV or a possible value of Λc≃1.6 TeV obtained by the CDF experiment at Tevatron. Possible new physics beyond the standard model, together with future experiments at the LHC, are also discussed.
ENTROPY OF SCALAR FIELDS IN REISSNER–NORDSTRÖM–(ANTI-)DE SITTER SPACETIMES
Authors: CAI RONG-GEN , ZHANG YUAN-ZHONG
Published: October 2004

The entropy of a free scalar field is calculated in the Reissner–Nordström–(anti-)de Sitter spacetimes. Due to the presence of the cosmological horizon in the Reissner–Nordström–de Sitter spacetime, we introduce a cutoff at the cosmological horizon, besides the cutoff at the horizon of black holes in the brick wall model. The entropy is found to be the sum of two terms, which are proportional to the area of the cosmological horizon and of black hole horizon, respectively. In the Reissner–Nordström–anti-de Sitter spacetime the contribution of the anti-de Sitter background to the entropy of scalar fields vanishes when an infinite volume is taken. The entropy of scalar fields is also evaluated in some special backgrounds described by solutions of Einstein–Maxwell equations with a cosmological constant, such as the cold black holes, lukewarm black holes, ultracold solutions, a naked singularity in de Sitter space, and the de Sitter space. The physical meaning of some results is briefly discussed.
ON THE ENTROPY OF MINIMALLY COUPLED AND NONMINIMALLY COUPLED GRAVITIES
Authors: HO JEONG-WON , KIM YONGDUK , PARK YOUNG-JAI
Published: October 2004

We investigate whether the gravitational thermodynamic properties of the scalar-tensor theory of gravity are affected by the conformal transformation or not. As an explicit example, we consider an electrically charged static spherical black hole in four-dimensional low energy effective theory of bosonic string.
THE QUANTUM SYMMETRIES AND ANTISYMMETRIES OF MATRICES AND THE HIGH-DIMENSIONAL REALIZATIONS OF THE QUANTUM GROUPS GLλ;qij (N) AND GLλ;qij (N) × GLλ;qij (N)
Authors: ZHONG ZAI-ZHE
Published: October 2004

In this letter, the (pij)-symmetry and the (qij)-antisymmetry of matrices are defined, it is proved that the above two quantum symmetries are invariant under a GL λ;qij (N)-involution transformation. By these quantum symmetries, a [Formula: see text]-dimensional and a [Formula: see text]-dimensional quantum hyperspaces are constructed, and on them the quantum groups GL λ;qij (N) and GL λ;qij (N) × GL λ;qij (N) are realized respectively.
NAMBU–JONA–LASINIO MODEL IN CURVED SPACETIME WITH MAGNETIC FIELD
Authors: GEYER B. , GRANDA L.N. , ODINTSOV S.D.
Published: October 2004

We discuss the phase structure of the NJL model in curved spacetime with magnetic field using 1/N-expansion and linear curvature approximation. The effective potential for composite fields [Formula: see text] is calculated using the proper-time cutoff in the following cases: (a) at nonzero curvature, (b) at nonzero curvature and nonzero magnetic field, and (c) at nonzero curvature and nonzero covariantly constant gauge field. Chiral symmetry breaking is studied numerically. We show that the gravitational field may compensate the effect of the magnetic field what leads to restoration of chiral symmetry.
COHOMOLOGICAL QUANTUM MECHANICS AND CALCULABILITY OF OBSERVABLES
Authors: MEKHFI M.
Published: October 2004

We reconsider quantum mechanical systems based on the classical action being the period of a one-form over a cycle and elucidate three main points. First we show that the prepotential V is no longer completely arbitrary but obeys a consistency integral equation. That is the one-form dV defines the same period as the classical action. We then apply this to the case of the punctured plane for which the prepotential solution is of the form V=αθ+Φ(θ). The function Φ is any but a periodic function of the polar angle. For the topological information to be preserved, we require further that Φ be even. Second we point out the existence of a hidden scale which comes from the regularization of the infrared behavior of the solutions. This will then be used to eliminate certain invariants preselected on dimensional counting grounds. Then by discarding nonperiodic solutions as being nonphysical, we compute the expectation values of the BRST-exact observables with the general form of the prepotential using only the orthonormality of the solutions (periodic). Third we give topological interpretations of the invariants in terms of the topological invariants which live naturally on the punctured plane as the winding number and the fundamental group of homotopy, but this requires a priori twisting of the homotopy structure.
A NONGROUP THEORETIC PROOF OF COMPLETENESS OF ARBITRARY COHERENT STATES D (α) | f >
Authors: AGARWAL G.S. , CHATURVEDI S.
Published: October 2004

A new proof for the completeness of the coherent states D(α)|f> for the Heisenberg–Weyl group and the groups SU(2) and SU(1, 1) is presented. Generalizations of these results and their consequences are discussed.
ASYMMETRY IN THE DECAY Ω−→ Ξ−γ
Authors: EILAM G. , IOANNISSYAN A. , SINGER P.
Published: October 2004

We consider the asymmetry in the decay Ω−→Ξ−γ assuming that a vector meson dominance approach for the s→dγ transition gives the dominant contribution. Since in this long-distance approximation the decay is due to a single quark transition s→dγ, the angular distribution asymmetry is given by the single positive asymmetry parameter [Formula: see text]. We also discuss the asymmetry in Ξ→Σ−γ, which is expected to be between −0.2 and 0.3.
TIME-DEPENDENT PARASUPERSYMMETRY IN QUANTUM MECHANICS
Authors: SAMSONOV BORIS F.
Published: October 2004

Parasupersymmetry of the one-dimensional time-dependent Schrödinger equation is established. It is intimately connected with a chain of the time-dependent Darboux transformations. As an example a parasupersymmetric model of nonrelativistic free particle with threefold degenerate discrete spectrum of an integral of motion is constructed.
IS ALR SUGGESTING A LEFT–RIGHT SYMMETRIC SOLUTION?
Authors: BARENBOIM GABRIELA
Published: October 2004

The implications of the recent measurement of the left–right asymmetry ALR by the SLD collaboration for the left–right symmetric theory are examined. We show that it is possible to arrange for a large, negative value of S, without serious side effects for other observables within this model. We also consider a restricted model with specified Higgs structure, where limits on MZ2 can be obtained.
THE SUNSET DIAGRAM IN SU(3) CHIRAL PERTURBATION THEORY
Authors: POST P. , TAUSK J.B.
Published: October 2004

A general procedure for the calculation of a class of two-loop Feynman diagrams is described. These are two-point functions containing three massive propagators, raised to integer powers, in the denominator and arbitrary polynomials of the loop momenta in the numerator. The ultraviolet divergent parts are calculated analytically, while the remaining finite parts are obtained by one-dimensional numerical integration, both below and above the threshold. Integrals of this type occur, for example, in chiral perturbation theory at order p6.
ISOSPECTRAL INTERACTIONS FOR THREE-BODY PROBLEMS ON THE LINE
Authors: BERA P.K. , PANJA M.M. , TALUKDAR B.
Published: October 2004

The algebraic methods of supersymmetric quantum mechanics are used to construct isospectral Hamiltonians for the three-particle Calogero problem [F. Calogero, J. Math. Phys. 10, 2191 (1969)]. The similarity and points of contrast of the present study with the corresponding two-body problem are discussed. It is found that the family of isospectral interactions is determined essentially by the angular part of the potential in the basic Hamiltonian. A case study is presented to investigate the nature of the individual member in the family.
TAU-FUNCTIONS FOR ALGEBRAIC GEOMETRICAL SOLUTIONS TO THE GENERAL ZAKHAROV–SHABAT HIERARCHY
Authors: VASILEV S.H.
Published: October 2004

The totality of all Zakharov–Shabat equations (equations of zero curvature with rational dependence on a parameter) form a hierarchy — GZS. Starting from an element of the Grassmannian we obtain expressions for the tau-functions of the algebraic-geometrical solutions of GZS in terms of theta-functions.
NONMANIFEST LORENTZ INVARIANCE IN VECTOR COUPLED MODEL
Authors: RAHAMAN ANISUR , MITRA P.
Published: October 2004

A new anomalous gauge theory with vector coupling is constructed in such a way that although the starting action is not Lorentz invariant, the physical theory obtained after imposition of the constraints does satisfy Lorentz invariance.
ON QUANTUM MODEL OF SUPERGRAVITY COMPENSATOR
Authors: BUCHBINDER I.L. , YU. PETROV A.
Published: October 2004

A new N=1 superfield model in D=4 flat superspace is suggested. This model describes dynamics of chiral compensator and can be treated as a low-energy limit of D=4, N=1 quantum superfield supergravity. Renormalization structure of this model is studied and one-loop counterterms are calculated. It is shown that the theory is infrared-free. An effective action for the model under consideration is investigated in the infrared domain. The lower contributions to the one-loop effective action are computed in explicit form.
ON THE ELECTROMAGNETIC PERTURBATIONS OF A MULTICONICAL SPACETIME
Authors: ALIEV A.N.
Published: October 2004

The electromagnetic perturbations propagating in the multiconical spacetime of N parallel cosmic strings are described. The expression for vacuum average of the stress-energy tensor is reduced to a form involving only zero-spin-weighted perturbation modes.
GAMMA-RAY BURSTS FROM HALO NEUTRON STARS CROSSING DARK CLUSTERS
Authors: PAOLIS F. DE
Published: October 2004

Two classes of neutron stars may exist in the galactic halo: high velocity neutron stars originating from the disk and injected in the halo and neutron stars originating from globular clusters (via type II supernovae and/or accretion induced collapse of white dwarfs). Moreover, the halo dark matter is likely in the form of dark clusters made of Massive Astrophysical Compact Halo Objects (MACHOs) and cold molecular clouds, expected to be formed in the outer part of the galaxy. We suggest that halo neutron stars may emit gamma-ray bursts crossing dark clusters. This assumption allows us to explain all the observed properties of gamma-ray bursts (rate, isotropy, cumulative peak flux distribution), including the different spectral properties of the two classes of short and long bursts. Several methods to test this model, independently on observations of gamma-ray bursts, are discussed.
CONSTRAINTS ON “SECOND-ORDER FIXED POINT” QCD FROM THE CCFR DATA ON DEEP INELASTIC NEUTRINO-NUCLEON SCATTERING
Authors: SIDOROV ALEKSANDER V. , STAMENOV DIMITER B.
Published: October 2004

The results of LO fixed point QCD (FP-QCD) analysis of the CCFR data for the nucleon structure function xF3(x, Q2) are presented. The predictions of FP-QCD, in which the Callan—Symanzik β-function admits a second-order ultraviolet zero at α=α0 are in good agreement with the data. Constraints for the possible values of the β-function parameter b regulating how fast αs(Q2) tends to its asymptotic value α0≠0 are found from the data. The corresponding values of α0 are also determined. Having in mind our recent “first-order fixed point” QCD fit to the same data we conclude that despite the high precision and the large (x, Q2) kinematic range of the CCFR data they cannot discriminate between QCD and FP-QCD predictions for xF3(x, Q2).
SYMMETRIC MULTIPLETS IN QUANTUM ALGEBRAS
Authors: KWEK L.C. , OH C.H. , SINGH K.
Published: October 2004

We consider a modified version of the coproduct for [Formula: see text] and show that in the limit q→1, there exists an essentially non-cocommutative coproduct. We study the implications of this non-cocommutativity for a system of two spin-1/2 particles. Here it is shown that, unlike the usual case, this nontrivial coproduct allows for symmetric and antisymmetric states to be present in the multiplet. We surmise that our analysis could be related to the ferromagnetic and antiferromagnetic cases of the Heisenberg magnets.
A NONPERTURBATIVE SUPERPOTENTIAL WITH E8-SYMMETRY
Authors: DONAGI RON , GRASSI ANTONELLA , WITTEN EDWARD
Published: October 2004

We compute the nonperturbative superpotential in F-theory compactification to four dimensions on a complex threefold P1×S, where S is a rational elliptic surface. In contrast to examples considered previously, the superpotential in this case has interesting modular properties; it is essentially an E8 theta function.
THE ANALYTICAL CONSTRAINTS ON CHARGE/COLOR BREAKING VACUA IN THE MSSM
Authors: ALTAISKY M.V. , BEDNYAKOV V.A. , KOVALENKO S.G. , FOMENKO M.N.
Published: October 2004

We present analytical constraints so that the wide class of color-charge-breaking (CCB) vacua is absent in the minimal supersymmetric standard model (MSSM). We show that equal-scalar-field direction minima, which can be excluded by the well-known constraint like [Formula: see text] are unstable with respect to small deviations from the equal-field direction in the sfermion-Higgs interaction part of the scalar potential. It is shown that a more severe constraint, roughly A<maxi mi, should be imposed to avoid the false CCB vacuum.
STRINGS WITH INTERACTING ENDS
Authors: WȨGRZYN P.
Published: October 2004

At the classical level we study open bosonic strings. A generic description of string self-interactions localized at string ends is given. Self-interactions are characterized by two dimensionless coupling constants. The model is rewritten using complex Liouville fields. Using these Lorentz and reparametrization invariant variables, equations of motion get greatly simplified and reduce to some boundary problem for Liouville equation. Henceforth, the Nambu-Goto string model is proved to be still rnathematically tractable if we attach finite masses and interactions at string end points. With the help of semiclassical quantization, we indicate several encouraging points for hadronic strings.
RENORMALIZATION GROUP APPROACH TO EFFECTIVE HAMILTONIANS
Authors: FIELDS T.J. , VARY J.P. , GUPTA K.S.
Published: October 2004

We introduce a way of implementing renormalization within the context of the theory of effective Hamiltonians. Our renormalization scheme involves manipulations at the level of the generalized G-matrix and is independent of any specific kinematics. We show how to calculate the β-function within this context and exhibit our method using simple scale-invariant quantum mechanical systems.
DESCRIPTION OF HIGH-ENERGY ELASTIC HADRON SCATTERING IN BOTH THE COULOMB AND HADRONIC DOMAINS
Authors: KUNDRÁT VOJTĚCH , LOKAJÍČEK MILOŠ
Published: October 2004

Though the current model of elastic hadron scattering (based on West and Yennie formula) is based on some basic assumptions being not in harmony with the known experimental facts, it is still used in analyzing measured data. These assumptions are critically examined and possible consequences following from a more general model approach are discussed.
GAUGE-INVARIANT CHARGE NONCONSERVING PROCESSES AND THE SOLAR NEUTRINO PUZZLE
Authors: CHU SHU-YUAN
Published: October 2004

Using Kaluza-Klein’s five-dimensional unified theory as an example, we show that when the metric depends on a hidden dimension, only a gauge-invariant combination of the charge and mass of a particle: Q2/16πG−M2, is a constant of motion, but not M and Q separately. This indicates that in a spacetime with hidden dimensions, the charge of a particle is not absolutely conserved. There are gauge-invariant charge nonconserving processes that change the particle’s charge and mass. Neutrino oscillations resulting from such processes may have relevance to the solar neutrino puzzle.
RG IMPROVEMENT OF THE EFFECTIVE POTENTIAL AT FINITE TEMPERATURE
Authors: NAKKAGAWA HISAO , YOKOTA HIROSHI
Published: October 2004

We present a simple and effective procedure to improve the finite temperature effective potential so as to satisfy the renormalization group equation (RGE). With the L-loop knowledge of the effective potential and of the RGE coefficient function, this procedure carries out a systematic resummation of large-T as well as large-log terms up to the Lth-to-leading order, giving an improved effective potential which satisfies the RGE and is exact up to the Lth-to-leading T and log terms. Applications to the one- and two-loop effective potentials are explicitly performed.
SOME ASPECTS OF MASSIVE WORLD-BRANE DYNAMICS
Authors: BALASUBRAMANIAN VIJAY , KLEBANOV IGOR R.
Published: October 2004

We study the internal dynamics of Ramond-Ramond solitons excited far from the BPS limit by leading Regge trajectory open strings. The simplest world volume process for such strings is splitting into two smaller pieces, and we calculate the corresponding decay rates. Compared to the conventional open superstring, the splitting of states polarized parallel to the brane is suppressed by powers of logarithms of the energy. The rate for states polarized transverse to the brane often decreases with increasing energy. We also calculate the static force between a D-brane excited by a massive open string and an unexcited D-brane parallel to it. The result shows that transversely polarized massive open strings endow D-branes with a size of order the string scale.
WEYL ORBIFOLD MODELS
Authors: MIYATA HIDEO , OHTSUBO NORIYASU
Published: October 2004

Superstring models on Weyl orbifolds are investigated in [Formula: see text] heterotic string theories. Some of the Weyl orbifold models are shown to be consistent with worldsheet supersymmetry, N=1 spacetime supersymmetry and modular invariance. Two ways of embedding in [Formula: see text] are studied and residual gauge groups are classified.
LEPTONIC CUSTODIAL SYMMETRY, QUANTIZATION OF THE ELECTRIC CHARGE AND THE NEUTRINO IN THE STANDARD MODEL
Authors: MACHET B.
Published: October 2004

I study, in the leptonic sector, the role of the SU (2)v custodial symmetry [Formula: see text] which was shown in Ref. 1 to control the quantization of the electric charge in the J=0 mesonic sector. The electroweak theory is considered, according to Ref. 2, as a purely vectorial model which interacts with a “hidden” sector of composite scalars. [Formula: see text] can only be a symmetry of the former if the neutrino is a Majorana particle; the latter provides a dynamical modification of the leptonic weak couplings, reconstructing those of the standard model with a massless Majorana neutrino.
NAMBU-GOTO STRING ACTION WITH GAUSS-BONNET TERM
Authors: KARKOWSKI J. , WȨGRZYN P. , ŚWIERCZYŃSKI Z.
Published: October 2004

We examine the relativistic Nambu-Goto model with Gauss-Bonnet boundary term added to the action integral. The dynamical system is analyzed using an invariant representation of string degrees of freedom by complex Liouville fields. The solutions of classical equations of motion for open strings are described.
PHASE OF THE COULOMB AMPLITUDE IN THE SECOND BORN APPROXIMATION
Authors: SELYUGIN O.V.
Published: October 2004

The method of calculating the Coulomb phase in the second Born order with allowance for the hadron form factor is presented. The phase of the modified Coulomb amplitude can be calculated exactly by taking account of the form factor of hadrons. The phase with the dipole form factor is estimated; as a result, the behavior of the total phase of the Coulomb-hadron interference changes as a function of the transfer momentum.
HIGH AND LOW TEMPERATURE BEHAVIOR OF A QUANTUM GROUP FERMION GAS
Authors: UBRIACO MARCELO R.
Published: October 2004

We consider the simplest SU q(2) invariant fermionic Hamiltonian and calculate the low and high temperature behavior for the two distinct cases q>1 and q<1. For low temperatures we find that entropy values for the Fermi case are an upper bound for those corresponding to q≠1. At high temperatures we find that the sign of the second virial coefficient depends on q, and vanishes at q=1.96. An important consequence of this fact is that the parameter q connects the fermionic and bosonic regions, showing therefore that SU q(2) fermions exhibit fractional statistics in three spatial dimensions.
PARTICLE SYMMETRIES IN Γ/M RATIOS AND THE LIFETIME OF PROTON
Authors: SHARMA ANJU , RAMANNA RAJA
Published: October 2004

In this letter it is shown that there is a close connection between the isospins of the fundamental particles and their masses and lifetimes. One of the important results is that the lifetime of the proton comes out to be about 5.33×1033 years.
CLASSICAL AND QUANTUM N=1 SUPER W∞-ALGEBRAS
Authors: BUFFON L.O. , ZADRA A. , DALMAZI D.
Published: October 2004

We construct higher-spin N=1 superalgebras as extensions of the super-Virasoro algebra containing generators for all spins s≥3/2. We find two distinct classical (Poisson) algebras on the phase superspace. Our results indicate that only one of them can be consistently quantized.
THE BRANCHING OF GRAPHS IN 2-D QUANTUM GRAVITY
Authors: HARRIS M.G.
Published: October 2004

The branching ratio is calculated for three different models of 2-D gravity, using dynamical planar ϕ3 graphs. These models are pure gravity, the D=−2 Gaussian model coupled to gravity and the single spin Ising model coupled to gravity. The ratio gives a measure of how branched the graphs dominating the partition function are. Hence it can be used to estimate the location of the branched polymer phase for the multiple Ising model coupled to 2-D gravity.
BRANCHED POLYMERS ON BRANCHED POLYMERS
Authors: DURHUUS BERGFINNUR , JONSSON THORDUR
Published: October 2004

We study an ensemble of branched polymers which are embedded on other branched polymers. This is a toy model which allows us to study explicitly and in detail the reaction of a statistical system to its underlying geometrical structure, a problem of interest in the study of the interaction of matter and quantized gravity. We find a phase transition at which the embedded polymers begin to cover the basis polymers. At the transition point the susceptibility exponent γ takes the value 3/4 and the two-point function develops an anomalous dimension 1/2.