bluuebunny/crossref_metadata_2025 huggingface dataset:
THE NAMBU-JONA-LASINIO SOLITON WITH GENERALIZED SCALAR INTERACTIONS
Authors: WEISS C. , ALKOFER R. , WEIGEL H.
Published: November 2004

Soliton solutions are studied as a generalization of the bosonized Nambu-Jona-Lasinio model with a fourth order term in the scalar meson field. Such an interaction arises in the context of a scale-invariant modification of the Nambu-Jona-Lasinio action, in which the scalar meson field is coupled to a scalar glueball field. It is shown that a fourth order term in the scalar meson field is crucial for the existence of stable solitons. We investigate the dependence of soliton properties on the scalar-glueball coupling.
STOCHASTIC QUANTIZATION AND 1/N EXPANSION
Authors: BRUNELLI J.C. , MENDES R.S.
Published: November 2004

We study the 1/N expansion of field theories in the stochastic quantization method of Parisi and Wu using the supersymmetric functional approach. This formulation provides a systematic procedure to implement the 1/N expansion which resembles the ones used in the equilibrium. The 1/N perturbation theory for the nonlinear sigma-model in two dimensions is worked out as an example.
THE MODIFIED CLASSICAL YANG-BAXTER EQUATION AND SUPERSYMMETRIC GEL’FAND-DIKII BRACKETS
Authors: YUNG C.M.
Published: November 2004

The classical Yang-Baxter equation as formulated by Semenov-Tyan-Shanskii is generalized to the case of Lie superalgebras [Formula: see text], for Grassmann even Yang-Baxter operators ℛ. When ℛ is “unitary” with respect to a super trace form defined on [Formula: see text], we prove the existence of two natural Poisson brackets on the dual [Formula: see text]*. If [Formula: see text] is the infinite-dimensional Lie superalgebra of N=1 super pseudodifferential operators, we recover the super Gel’fand-Dikii brackets underlying the N=1 super KP hierarchy and its reductions.
PHASE TRANSITIONS IN INDUCED QCD
Authors: MIGDAL A.A.
Published: November 2004

The variety of the phase transitions in induced QCD are studied. Depending on the parameters in the scalar field potential, there could be infinite number of fixed points, with different critical behavior. The integral equation for the density of the eigenvalues of the scalar field are generalized to the weak coupling phases, with the gap at the origin. We find a wide class of the massive solutions of these integral equations in the strong coupling phases, and derive an explicit eigenvalue equation for the scalar branch of the mass spectrum.
TRANSFORMATION TO AUTONOMOUS SYSTEMS VIA HAMILTON’S EQUATIONS
Authors: ANDERSON J.T.
Published: November 2004

A semiclassical Hamiltonian with arbitrary time-dependent external term is transformed via Hamiltonian’s equations into a time-independent autonomous system. Iteration gives Hamilton’s equations which are functions of the initial values and time-independent external terms. For the harmonic oscillator it is found that no external term gives constants of the motion or semiclassical chaos. A quartic anharmonic oscillator is discussed.
QUANTUM EFFECTS FOR GENERALIZED CHERN-SIMONS TYPE BOSONIC PARTICLE AND STRING
Authors: STOILOV M.N. , ZAIKOV R.P.
Published: November 2004

The constraint algebra of a recently proposed generalized Chern-Simons p-brane is investigated. It is shown that there is no anomaly in the particle case. The Virasoro anomaly cancels for D=28 in the string case. The static potential for the generalized Chern-Simons string is derived.
THE POLARIZED PHOTON STRUCTURE FUNCTION $g_1^\gamma $ AS A PROBE OF CHIRAL SYMMETRY REALIZATIONS
Authors: SHORE G.M. , VENEZIANO G.
Published: November 2004

The first moment of the polarized photon structure function [Formula: see text] is determined by the anomalous three-current axial-vector-vector (AVV) correlation function. Its dependence on the off-shell momentum κ2 of the target photon is a direct probe of the way chiral symmetry is realized in the AVV function. A careful account is given of the effect of different realizations of chiral symmetry on the AVV correlation function with special emphasis on the delicate chiral limit, where the occurrence of singularities in the invariant amplitudes makes the relation with the first moment of [Formula: see text] more subtle. The behavior of [Formula: see text] as κ2 is increased through the thresholds associated with the different quarks and leptons is described.
RADIATIVE TRANSITION $\Lambda _c^ + \to \sum ^ + _\gamma $
Authors: MAHARANA L. , NATH A.
Published: November 2004

The radiative decay of [Formula: see text] is considered in a field theoretic quark model. It is found that the size of the baryon plays significant role and the branching ratio of the decay is highly suppressed by the order of factor 10−8.
A CLOSED BIANCHI I UNIVERSE IN STRING THEORY
Authors: KALOPER NEMANJA
Published: November 2004

A special Bianchi I universe is constructed in 4D string theory. Geometrically it represents a 3D anti-de-Sitter space crossed with a flat direction whereas in terms of an associated conformal field theory it is an extremal case of a gauged WZWN theory with target the coset SU(1,1)×R2/R. Some of its properties are discussed.
FRACTAL WILSON LOOP IN U(1) LATTICE GAUGE THEORY
Authors: KRÖGER H. , LANTAGNE S. , MORIARTY K.J.M.
Published: November 2004

Recently, a fractal Wilson loop  has been suggested to yield for non-compact SU(2) gauge theory an area law in the strong-coupling regime, while the standard Wilson loop  yields a perimeter law. Here we consider non-compact U(1) gauge theory, compute the fractal Wilson loop analytically, and obtain a perimeter law for all coupling. We find that  and  coincide.
MULTI-ANYON SPECTRA AND WAVE FUNCTIONS IN THE CLUSTERING APPROXIMATION
Authors: ILLUMINATI FABRIZIO
Published: November 2004

For the many-anyon system in external field, we solve the quantum eigenvalue problem with particular topological constraints derived from semiclassical considerations. Our results agree with the numerical spectra recently obtained for the three- and four-anyon systems. The relevance of our approximation to the general solution of the anyon-gas model is pointed out and discussed.
INFINITE-TENSION STRINGS AT d>1
Authors: BOULATOV D.V.
Published: November 2004

A matrix model describing surfaces embedded in a Bethe lattice is considered. From the mean field point of view, it is equivalent to the Kazakov-Migdal induced gauge theory and therefore, at N=∞ and d>1, the latter can be interpreted as a matrix model for infinite-tension strings. We show that, in the naive continuum limit, it is governed by the one-matrix model saddle point with an upside-down potential. To derive mean field equations, we consider the one-matrix model in external field. As a simple application, its explicit solution in the case of the inverted W potential is given.
SOME ADDITIONAL SOLUTIONS OF CONFORMAL TURBULENCE
Authors: MATSUO YUTAKA
Published: November 2004

We made a careful study of Polyakov’s Diofantian equations for 2D turbulence and found several additional CFTs which meet his criterion. This fact implies that we need further conditions for CFT in order to determine the exponent of the energy spectrum function.
UNITARITY BOUNDS ON WW SCATTERING AND ELECTROWEAK TESTS AT LEP
Authors: GOUNARIS G. , RENARD F.M. , SCHILDKNECHT D.
Published: November 2004

Replacing elementary Higgs exchange in vector-boson scattering by an angular-momentum-zero unitarity-saturating partial wave amplitude described by a dispersion relation which incorporates low-energy gauge theory and high-energy partial-wave unitarity constraints, we find an upper bound of Λ≲Λmax≅0.8 TeV for the scale, Λ, at which saturation of partial wave unitarity is to occur. Upon inserting the partial wave amplitude into a novel integral representation for the bosonic vacuum polarization contribution to the electroweak ρ parameter, Δρb, we establish an upper bound on −Δρb(≲0.033), while for the case of the elementary Higgs scalar, the integral representation reproduces the well known ln mH/mW formula for Δρb. The upper bound on −Δρb implies that the value of the mass of the top quark extracted from LEP1 measurements becomes justified even in the case when the Higgs scalar is replaced by a strong-interaction-like J=0 partial wave.
EQUATION OF STATE FOR QUARK GLUON PLASMA IN A RELATIVISTIC HARMONIC CONFINEMENT MODEL
Authors: KHADKIKAR S.B. , PARIKH J.C. , VINODKUMAR P.C.
Published: November 2004

A relativistic harmonic confinement model for quarks and a similar current confinement model for gluons have been used to obtain an equation of state for quark-gluon plasma. Such models may be deduced from QCD under certain approximations, by considering small quantum fluctuations about a background field. At high temperatures a T7 dependence of pressure and energy density is obtained with relativistic harmonic mode of confinement.
THIRD QUANTIZATION OF A SOLVABLE INFLATIONARY UNIVERSE MODEL WITH AN EXPONENTIAL POTENTIAL
Authors: HORIGUCHI TSUTOMU
Published: November 2004

We study the third quantization of a solvable inflationary universe model with an exponential potential α cosh(2Φ), which leads to the standard exponential inflation. It is shown that the number of the inflationary universes produced from nothing, with such a matter potential, is very large.
RECIPE FOR THE SOLUTION OF THE DIRAC EQUATION BY THE BASIS SET EXPANSION METHOD
Authors: GAMBHIR Y.K. , RING P.
Published: November 2004

The problem arising due to the use of finite basis set expansion method for the solution of the Dirac equation in the Relativistic Mean Field theory, is analyzed, particularly the appearance of the “Spurious” states. A satisfactory prescription (or remedy) for the avoidance of these “Spurious” states is proposed. Illustrative results for this are presented. The proposed prescription is critically analyzed and it is shown to be consistent with that encountered for the spherical case in the molecular and atomic physics problems.
THE ALGEBRA OF THE ENERGY-MOMENTUM TENSOR AND THE NOETHER CURRENTS IN OFF-CRITICAL WZNW MODELS
Authors: FORGER M. , LAARTZ J.
Published: November 2004

The recently derived current algebra of classical principal chiral models with a Wess-Zumino term is extended to include the energy-momentum tensor. It is found that the energy-momentum tensor θµν, the Noether currents [Formula: see text] and [Formula: see text] associated with the global symmetry of the theory and the composite field t appearing as the coefficient of the Schwinger term in the current algebra, together with the derivatives of [Formula: see text] and t, generate a closed algebra. The subalgebra generated by the light-cone components of the energy-momentum tensor consists of two commuting copies of the Virasoro algebra, with central charge c=0, reflecting the classical conformal invariance of the theory, but the current algebra part and the semidirect product structure are a deformation of the usual affine Kac-Moody/Sugawara construction.
UNIFICATION OF GRAVITY, GAUGE AND HIGGS FIELDS BY CONFINED QUANTUM FIELDS – MATHEMATICAL FORMULATION
Authors: ISSE TOSHIKI
Published: November 2004

Dynamics of quantized free fields (of spin 0 and 1/2) contained in a subspace V* of an (N+4)-dimensional flat space V is studied. The space V* is considered as a neighborhood of a four-dimensional submanifold M arbitrarily embedded into V. We study the system as a simple model of unified theory of gravity (g), SO (N) gauge fields (A) and Higgs fields (ɸ). In this paper classical treatment of the system is given. We show that, especially when the fields have spin 1/2, the system is described by an infinite number of fields in interacting with g, A and ɸ. The fields g, A and ɸ are induced themselves by embedding functions of M and correspond respectively to induced metric, normal connection and extrinsic curvature of M.
AN SU(2)L×U(1)L×U(1)R MODEL WITH FINITE DIRAC NEUTRINO MASSES
Authors: RAJPOOT SUBHASH
Published: November 2004

An SU(2)L×U(1)L×U(1)R model of electroweak interactions is presented in which the conventional fermions of the standard model are left-handed doublets under SU(2)L× U(1)L and are right-handed singlets under U(1) R . The triangle anomalies are canceled by adding vector-like singlet fermions. Neutrinos are massless at the tree level due to a discrete symmetry and acquire tiny finite masses at the one-loop level due to the exchange of two charged scalar singlets. The singlet scalars carry two units of lepton number.
DO MILLICHARGED PARTICLES EXIST?
Authors: DOBROLIUBOV M.I. , IGNATIEV A. YU.
Published: November 2004

To better understand the fundamental principle of charge quantization we propose to look for particles with small electric charges (Q≃10−3e). Several types of experiments are suggested and their feasibilities discussed.
A CANDIDATE FOR EXACT CONTINUUM DUAL THEORY FOR SCALAR QED3
Authors: KOVNER A. , KURZEPA P. , ROSENSTEIN B.
Published: November 2004

We discuss a possible exact equivalence of the Abelian Higgs model and a scalar theory of a magnetic vortex field in 2 + 1 dimensions. The vortex model has a current-current interaction and can be viewed as a strong coupling limit of a massive vector theory. The fixed point structure of the theory is discussed and mapped into fixed points of the Higgs model.
INFLUENCE OF THE PARTICLE-HOLE CONTINUUM ON PION-PION CORRELATIONS IN DENSE NUCLEAR MATTER
Authors: AOUISSAT Z. , CHANFRAY G. , SCHUCK P.
Published: November 2004

In dense nuclear matter the coupling of the pion to the particle-hole states shifts the two-pion strength below threshold. In the scalar-isoscalar channel the π+π− strength distribution can develop a resonance-like structure at energies between zero and 2mπ. Using a phenomenological force fitting phase shifts, we show that dense nuclear matter can become unstable with respect to formation of a pion-pair condensate. This phenomenon may precede single pion condensation.
CURVATURE OF HILBERT SPACE AND q-DEFORMED 'QUANTUM MECHANICS'
Authors: DUTTA-ROY BINAYAK , GHOSH GAUTAM
Published: November 2004

A role for the parameter q in deformed algebras is sought in the context of the geometry of the Hilbert space.
A MASS SPECTRUM FOR LEPTONS AND QUARKS
Authors: MANGANO GIANPIERO , SANNINO FRANCESCO
Published: November 2004

A suggestive phenomenological relation is found among the lepton and quark masses which suggests a new insight into the problem of generations and also gives a prediction for the top quark mass in agreement with the range of values which is actually expected.
A NEW N=4 SUPERCONFORMAL ALGEBRA
Authors: ALI ABBAS , KUMAR ALOK
Published: November 2004

It is shown that the previously known N=3 and N=4 superconformal algebras can be contracted consistently by singular scaling of some of the generators. For the latter case, by a contraction which depends on the central term, we obtain a new N=4 superconformal algebra which contains an SU (2)× U (1)4 Kac-Moody subalgebra and has nonzero central extension.
THE η6 AT LEP AND TRISTAN
Authors: KANG KYUNGSIK , KNOWLES IAN G. , WHITE ALAN R.
Published: November 2004

The η6 is a “heavy axion” remnant of dynamical electroweak symmetry breaking by a color sextet quark condensate. Electroweak scale color instanton interactions allow it to be both very massive and yet be responsible for Strong CP conservation in the color triplet quark sector. It may have been seen at LEP via its two-photon decay mode and at TRISTAN via its hadronic decay modes.
CHARACTERS IN CONFORMAL FIELD THEORIES FROM THERMODYNAMIC BETHE ANSATZ
Authors: KUNIBA ATSUO , NAKANISHI TOMOKI , SUZUKI JUNJI
Published: November 2004

We propose a new q-series formula for a character of parafermion conformal field theories associated with arbitrary non-twisted affine Lie algebra ĝ. We show its natural origin from a thermodynamic Bethe Ansatz analysis including chemical potentials.
HAWKING RADIATION: A PARTICLE PHYSICS PERSPECTIVE
Authors: VISSER MATT
Published: November 2004

It has recently become fashionable to regard black holes as elementary particles. By taking this suggestion reasonably seriously it is possible to cobble together an elementary particle physics based on estimate for the decay rate (black hole) i → (black hole) f+ (massless quantum) . This estimate of the spontaneous emission rate contains two free parameters which may be fixed by demanding that the high energy end of the spectrum of emitted quanta match a black body spectrum at the Hawking temperature. The calculation, though technically trivial, has important conceptual implications: (1) The existence of Hawking radiation from black holes seems ultimately dependent only on the fact that massless quanta (and all other forms of matter) couple to gravity. (2) The essentially thermal nature of the Hawking spectrum seems to depend only on the fact that the number of internal states of a large mass black hole is enormous. (3) Remarkably, the resulting formula for the decay rate gives meaningful answers even when extrapolated to low mass black holes. The analysis seems to support the scenario of complete evaporation as the end point of the Hawking radiation process (no naked singularity, no stable massive remnant).
POISSON STRUCTURES: TOWARDS A CLASSIFICATION
Authors: GRABOWSKI J. , MARMO G. , PERELOMOV A.M.
Published: November 2004

In the present note we give an explicit description of certain class of Poisson structures. The methods lead to a classification of Poisson structures in low dimensions and suggest a possible approach for higher dimensions.
EXTENDED FRACTIONAL SUPERSYMMETRIC QUANTUM MECHANICS
Authors: DURAND STÉPHANE
Published: November 2004

Recently, we presented a new class of quantum-mechanical Hamiltonians which can be written as the Fth power of a conserved charge: H=QF with F=2, 3,…. This construction, called fractional supersymmetric quantum mechanics, was realized in terms of a paragrassmann variable θ of order F, which satisfies θF=0. Here, we present an alternative realization of such an algebra in which the internal space of the Hamiltonians is described by a tensor product of two paragrassmann variables of orders F and F−1 respectively. In particular, we find q-deformed relations (where q are roots of unity) between different conserved charges.
COLLECTIVE COORDINATE ACTION FOR CHARGED SIGMA-MODEL VORTICES IN FINITE GEOMETRIES
Authors: ALLEN THEODORE J.
Published: November 2004

We apply the method of Lund to formulate a variational principle for the motion of charged vortices in an effective nonlinear Schrödinger field theory describing finite size two-dimensional quantum Hall samples under the influence of an arbitrary perpendicular magnetic field. Freezing out variations in the modulus of the effective field yields a U(1) sigma-model. A duality transformation on the sigma-model reduces the problem to finding the Green function for a related electrostatics problem. This duality connects the plasma analogy to the Laughlin wave function directly to a vortex gas description of the fractional quantum Hall effect.
INTERACTING THIRD QUANTIZED GENERAL RELATIVITY AND CHANGE OF TOPOLOGY
Authors: PELEG YOAV
Published: November 2004

The Wheeler-DeWitt equation can be treated as a dynamical equation of a field theory on superspace, which is a free Klein-Gordon field (in an infinite-dimensional curved space) with a non-positive-definite mass squared term. This suggests that one should add an interaction term to the third quantized theory, and by that to get a Hamiltonian which is bounded from below. This process may allow a change of topology. A consistent third quantized theory can be defined in a subspace of superspace for which the Ricci scalar is zero. We consider a simple example of such subspace, and examine (in it) two kinds of interactions, one which is local in superspace and one which is local in the physical space.
BLACK HOLE UNCERTAINTIES
Authors: DANIELSSON ULF H.
Published: November 2004

In this work the quantum theory of two-dimensional dilaton black holes is studied using the Wheeler-De Witt equation. The solutions correspond to wave functions of the black hole. It is found that for an observer inside the horizon, there are uncertainty relations for the black hole mass and a parameter in the metric determining the Hawking flux. Only for a particular value of this parameter can both be known with arbitrary accuracy. In the generic case there is instead a relation that is very similar to the so-called string uncertainty relation.
NEUTRINO PROPAGATION IN MATTER AND ELECTROMAGNETIC FIELDS
Authors: GRIMUS W. , SCHARNAGL T.
Published: November 2004

The neutrino propagation equations employed for possible solutions of the solar neutrino problem are reviewed and their derivation with the help of a Foldy-Wouthuysen transformation is discussed. The difference in the treatment of Dirac and Majorana neutrinos is particularly emphasized.
ON THE QUANTIZATION OF DAMPED SYSTEMS
Authors: CHOU CHIHONG
Published: November 2004

Based on a simple observation that a classical second order differential equation may be decomposed into a set of two first order equations, we introduce a Hamiltonian framework to quantize the damped systems. In particular, we analyze the system of a linear damped harmonic oscillator and demonstrate that the time evolution of the Schrödinger equation is unambiguously determined.
$O(\bar{d}, \bar{d})$ TRANSFORMATIONS AND 3D BLACK HOLE
Authors: ALI ABBAS , KUMAR ALOK
Published: November 2004

We generalize the results of a previous paper by one of the authors to show a relationship among a class of string solutions through [Formula: see text] transformations. The results are applied to a rotating black hole solution of three-dimensional general relativity discussed recently. We extend the black hole solution to string theory and show its connection with the three-dimensional black string with nonzero momentum through an [Formula: see text] transformation of the above type.
NONLEPTONIC DECAYS OF CHARMED MESONS INTO TWO PSEUDOSCALAR MESONS
Authors: DAS ASHOK , MATHUR VISHNU S.
Published: November 2004

We investigate the nonleptonic decay of charmed meson into two pseudoscalar mesons using the vector-dominance model, and compare the results with those obtained from the factorization model. In particular, we discuss the role of the annihilation diagrams in the two models.
A SIGNAL FOR TECHNICOLOR?
Authors: BANDO MASAKO , MAEKAWA NOBUHIRO
Published: November 2004

We propose an interpretation for the ([Formula: see text], Mγγ=60 GeV) events, which have recently been reported by L3 group at LEP. This might be a first signal of ‘technicolor’ theory.
LORENTZ INVARIANT SPECTRUM OF MINIMAL CHIRAL SCHWINGER MODEL
Authors: KIM YONG-WAN , KIM SEUNG-KOOK , KIM WON-TAE , PARK YOUNG-JAI , KIM KEE YONG , KIM YONGDUK
Published: November 2004

We study the Lorentz transformation of the minimal chiral Schwinger model in terms of the alternative action. We automatically obtain a chiral constraint, which is equivalent to the frame constraint introduced by McCabe, in order to solve the frame problem in phase space. As a result we obtain the Lorentz invariant spectrum in any moving frame by choosing a frame parameter.
GAUGED NAMBU-JONA-LASINIO MODEL AT O(1/N) WITH AND WITHOUT A CHERN-SIMONS TERM
Authors: GRACEY J.A.
Published: November 2004

We solve the gauged Nambu-Jona-Lasinio model at leading order in the large-N expansion by computing the anomalous dimensions of all the fields of the model and other gauge independent critical exponents by examining the scaling behavior of the Schwinger Dyson equation. We then restrict to the three-dimensional model and include a Chern-Simons term to discover the θ-dependence of the same exponents where θ is the Chern-Simons coupling.
QUANTUM GROUP SCHRÖDINGER FIELD THEORY
Authors: UBRIACO MARCELO R.
Published: November 2004

We show that a quantum deformation of quantum mechanics given in a previous work is equivalent to quantum mechanics on a nonlinear lattice with step size ∆x=(1−q)x. Then, based on this, we develop the basic formalism of quantum group Schrödinger field theory in one spatial quantum dimension, and explicitly exhibit the SU q(2) covariant algebras satisfied by the q-bosonic and q-fermionic Schrödinger fields. We generalize this result to an arbitrary number of fields.
STRONG CP PROBLEM AND AN AXIAL U(1) GAUGE SYMMETRY
Authors: PAC PONG YOUL , PAHK CHERL SOO
Published: November 2004

We extend the standard model by an axial U(1) gauge symmetry obtained from a rotation parametrized by a scalar field. In quantizing the system, the Peccei-Quinn symmetry is realized by introducing a BRST-exact term, which can provide a new approach to the strong CP problem without assuming a physical degree of freedom like the axion or the massless quark. We can find that the transition between different topological sectors of QCD via physical scattering processes is suppressed.
TOPOLOGICAL OBSTRUCTIONS TO BRST INVARIANCE
Authors: BATAKIS NIKOLAOS A. , KEHAGIAS ALEXANDROS A.
Published: November 2004

It is shown that, due to topological obstructions, the effective action of a gauge theory in a multiple-connected space-time containing one fermion n-plet in the fundamental representation of the covering group of the gauge group is not, in general, BRST-invariant. A resolution to this problem is attained with the introduction of identical copies of the original n-plet, one for each of the effectively independent components of the symmetry group, and a truly invariant generating functional is constructed. Examples with explicit gauge groups and their possible relevance to the family problem or to the SU(3) flavors of quarks are briefly discussed.
VECTOR BOSON DOMINANCE OF ELECTROWEAK INTERACTIONS
Authors: PIROGOV YU. F.
Published: November 2004

The linearization of the nonlinear standard model G/H= SU(3) L × U(1)/SU(2) L × U(1) via the hidden local symmetry H loc = SU(2) L × U(1) is considered. Mixing of the light elementary gauge bosons of the standard model with the dynamically generated heavy composite vector bosons is studied under the hypothesis of vector boson dominance. The model is theoretically consistent as quantum field theory and phenomenologically acceptable. It can be used as a guide to study systematically the deviations from the standard model due to a common substructure of leptons, quarks and Higgs bosons.
OUT OF EQUILIBRIUM PHASE TRANSITIONS AND A TOY MODEL FOR DISORIENTED CHIRAL CONDENSATES
Authors: BEDAQUE PAULO F. , DAS ASHOK
Published: November 2004

We study the dynamics of a second order phase transition in a situation that mimics a sudden quench to a temperature below the critical temperature in a model with dynamical symmetry breaking. In particular we show that the domains of correlated values of the condensate grow as [Formula: see text] and that this result seems to be largely model-independent.
EXACT GROUND STATE WAVE FUNCTIONS FOR N ANYONS IN A MAGNETIC FIELD ON A TORUS
Authors: FAYYAZUDDIN ANSAR
Published: November 2004

The complete set of ground state wave functions for N anyons in an external magnetic field on the torus is found. The cases when the filling factor is less than or equal to one are considered. The single valued description of anyons is employed throughout by coupling bosons to a Chern-Simons field. At the end, the Chern-Simons interaction is removed by a singular gauge transformation as a result of which the wave functions become multi-component in agreement with other studies. It is shown that for statistics of the type θ=πq/p the exactly filled lowest Landau level has a q-fold degeneracy. Statistics of type π/p, which are relevant for the Laughlin theory of the FQHE, are singled out as those with non-degenerate filled ground states.
A CALCULATION OF THE MAGNETIC MOMENT OF THE Δ++
Authors: SLAUGHTER MILTON DEAN
Published: November 2004

A fully relativistic, gauge-invariant, and non-perturbative calculation of the Δ++ magnetic moment, μΔ++, is made using equal-time commutation relations (ETCRs) and the dynamical concepts of asymptotic SU F(2) flavor symmetry and asymptotic level realization. Physical masses of the Δ and nucleon are used in this broken symmetry calculation. It is found that μΔ++=2.04μp, where μp is the proton magnetic moment. This result is very similar to that obtained by using SU(6) ⊗ O(3) symmetry or the static quark model.
DYNAMICAL GROUPS AND SUPERSYMMETRY II: SUPERSYMMETRIC AHARONOV-BOHM AND ANYON SYSTEMS
Authors: BARUT A.O. , ROY P.
Published: November 2004

The group structure of the supersymmetric version of the Aharonov-Bohm Hamiltonian and that of two-anyon system include the same superalgebra Spl(2, 1) whose representation in these problems are identified.
W∞ COHERENT STATES AND PATH-INTEGRAL DERIVATION OF BOSONIZATION OF NON-RELATIVISTIC FERMIONS IN ONE DIMENSION
Authors: DHAR AVINASH , MANDAL GAUTAM , WADIA SPENTA R.
Published: November 2004

We complete the proof of bosonization of non-interacting non-relativistic fermions in one space dimension by deriving the bosonized action using W∞ coherent states in the fermion path-integral. This action was earlier derived by us using the method of co-adjoint orbits. We also discuss the classical limit of the bosonized theory and indicate the precise nature of the truncation of the full theory that leads to the collective field theory.
SQUEEZED STATES AND UNCERTAINTY RELATION AT FINITE TEMPERATURE
Authors: HU B.L. , ZHANG YUHONG
Published: November 2004

We use the quantum Brownian model to derive the uncertainty relation for a quantum open system in an arbitrarily-squeezed initial state interacting with an environment at finite temperature. We examine the relative importance of the quantum and thermal fluctuations in the evolution of the system towards equilibrium with the aim of clarifying the meaning of quantum, classical and thermal. We show that upon contact with the bath the system evolves from a quantum-dominated state to a thermal-dominated state in a time which is the same as the decoherence time calculated before in the context of quantum to classical transitions. We also use these results to deduce the conditions when the two basic postulates of quantum statistical mechanics become valid.
SINGLET NEUTRINOS AS HOT DARK MATTER
Authors: PELTONIEMI J.T.
Published: November 2004

A model is presented that generates mass and magnetic moment matrices for singlet neutrinos radiatively at one-loop level. It allows the singlet neutrinos to account for the hot dark matter and the anomalous ionization of interstellar hydrogen.
QUANTUM PHASE SPACE AND THE DISCRETE WEYL ALGEBRA
Authors: HILEY BASIL , MONK NICK
Published: November 2004

We re-examine the discrete Weyl algebra and its continuous limit with a specific aim in mind, namely, to illustrate how it is possible to arrive at a ‘quantum’ phase space without the need to first presuppose the notion of an underlying continuous manifold. We discuss the implications of this simple non-commutative structure for our understanding of locality.
ANYONS ON HIGHER GENUS SURFACES — A CONSTRUCTIVE APPROACH
Authors: HANSSON T.H. , KARLHEDE ANDERS , WESTERBERG ERIK
Published: November 2004

We reconsider the problem of anyons on higher genus surfaces by embedding them in three-dimensional space. From a concrete realization based on three-dimensional flux tubes bound to charges moving on the surface, we explicitly derive all the representations of the spinning braid group. The component structure of the wave functions arises from winding the flux tubes around the handles. We also argue that the anyons in our construction must fulfil the generalized spin-statistics relation.
CONFORMAL DYNAMICS OF QUANTUM GRAVITY WITH TORSION
Authors: ANTONIADIS I. , ODINTSOV S. D.
Published: November 2004

The trace anomaly induced dynamics of the conformal factor is investigated in four-dimensional quantum gravity with torsion. The constraints for the coupling constants of torsion matter interaction are obtained in the ir stable fixed point of the effective scalar theory.
EIKONAL SCATTERING IN THE sdg INTERACTING BOSON MODEL: ANALYTICAL RESULTS IN THE SUsdg(3) LIMIT AND THEIR GENERALIZATIONS
Authors: KOTA V. K. B.
Published: November 2004

General expression for the representation matrix elements in the SU sdg(3) limit of the sdg interacting boson model (sdgIBM) is derived that determine the scattering amplitude in the eikonal approximation for medium energy proton-nucleus scattering when the target nucleus is deformed and it is described by the SU sdg(3) limit. The SU sdg(3) result is generalized to two important situations: (i) when the target nucleus ground band states are described as states arising out of angular momentum projection from a general single Kπ = 0+ intrinsic state in sdg space; (ii) for rotational bands built on one-phonon excitations in sdgIBM.
ON PARITY CONSERVATION AND THE QUESTION OF THE 'MISSING' (RIGHT-HANDED) NEUTRINO
Authors: BARUT A. O. , ZIINO G.
Published: November 2004

The neutrino problem is set anew in the light of a reformulation of the Dirac field theory that provides a natural account for the effect commonly interpreted as 'P-violation', and restores P-mirror symmetry. A two-component (left-handed) neutrino field is automatically derived, whose P-mirror image does not correspond to a 'missing' particle but is the (right-handed) antineutrino field.
LANDAU-GINZBURG TOPOLOGICAL THEORIES IN THE FRAMEWORK OF GKM AND EQUIVALENT HIERARCHIES
Authors: KHARCHEV S. , MARSHAKOV A. , MIRONOV A. , MOROZOV A.
Published: November 2004

We consider the deformations of "monomial solutions" to generalized Kontsevich. model1,2 and establish the relation between the flows generated by these deformations with those of N = 2 Landau-Ginzburg topological theories. We prove that the partition function of a generic generalized Kontsevich model can be presented as a product of some "quasiclassical" factor and non-deformed partition function which depends only on the sum of Miwa transformed and flat times. This result is important for the restoration of explicit p − q symmetry in the interpolation pattern between all the (p, q)-minimal string models with c < 1 and for revealing its integrable structure in p-direction, determined by deformations of the potential. It also implies the way in which supersymmetric LandauGinzburg models are embedded into the general context of GKM. From the point of view of integrable theory these deformations present a particular case of what is called equivalent hierarchies.
THE ORIGIN OF NUCLEAR SHAPE TRANSITIONS
Authors: YEN G. D. , MILLER H. G. , QUICK R. M.
Published: November 2004

The experimental nuclear energy spectra indicate the rare-earth nuclei undergo a collective-to-noncollective transition even for a closed-shell spherical nucleus. For off-shell deformed nuclei this transition may be accompanied by a change in the nuclear shape in finite temperature mean field theories which is not seen in exact canonical calculations. Therefore, a theory using the quadrupole deformation parameters β and γ as the order parameter for this transition may be misleading.
SCALE INDEPENDENCE OF SPINOR ANOMALY
Authors: MINN JOOHA
Published: November 2004

We understand that the mathematical expression of spinor anomaly is independent of the general non-gauge type coupling contents of the Lagrangian. Furthermore the covariant form of the spinor anomaly is conformally invariant whether the situation is topologically trivial or not. This clarifies why index theorem can be used in anomaly calculation. Here we use Feynman path integral.
COSET CONSTRUCTION SU(2)k × SU(2)l/SU(2)k+l AND MINIMAL-LIKE THEORIES
Authors: YU. LASHKEVICH M.
Published: November 2004

The equivalence of SU (2)k × SU (2)l/ SU (2)k+l coset constructions and some bosonic theories are proved. The connection between conformal blocks of coset construction and of SU (2)N theories has been found. Currents in coset construction are discussed.
EQUIVALENT MODELS FOR GAUGED WZW THEORY
Authors: TERAO HARUHIKO , YAMADA KIYONORI
Published: November 2004

We modify the SL (2, ℝ)/ U (1) WZW theory, which was shown to describe strings in a 2D black hole, to be invariant under chiral U(1) gauge symmetry by introducing a Steukelberg field. We impose several interesting gauge conditions for the chiral U(1) symmetry. In a particular gauge the theory is found to be reduced to the Liouville theory coupled to the c=1 matter perturbed by the so-called black hole mass operator. Also we discuss the physical states in the models briefly.
SPIN-1/2 GAUGE FIELD REVISITED
Authors: SHIMA KAZUNARI
Published: November 2004

The gauge symmetry for spin-1/2 field proposed in the previous paper by using second rank tensor-spinors is re-investigated. The constraints which are essential for eliminating higher spin components are re-examined and reformulated by using a traceless antisymmetric tensor-spinor Lagrange multiplier in a gauge-invariant way. The gauge symmetry is compatible with the space-time with (anti)self-dual Riemann curvatures.
A HANDY CALCULATING METHOD OF HIGGS POTENTIAL IN SUSY MODEL
Authors: BANDO MASAKO , MAEKAWA NOBUHIRO , NAKANO HIROAKI , SATO JOE
Published: November 2004

We examine a simple approximation to the one-loop Higgs potential in the supersymmetric standard model. We study the conditions under which our approximation can well simulate the full one-loop results. The results by our method are compared with those by the full one-loop potential as well as the tree one in several examples. It turns out that our method works quite well in many cases and thus provides a useful calculating method, instead of a complicated evaluation of one-loop potential.
A FURTHER COMMENT ON THE HAMILTON FORMALISM FOR NONLINEAR INTEGRABLE MODELS
Authors: KAWAI EI-ICHIRO
Published: November 2004

An attractive operator equation, explicated in the preceding work,1 is intensively investigated with careful attention paid to its characteristics originated by alternate action of dual Hamiltonian operators. In this context, it is argued that its amenable modification can be thought of as a sort of null curvature equation. On the basis of such intriguing view, an application of the fruitful gauge-theoretic concept is tried, from which a novel formula for obtaining systematically the conserved Hamiltonian functionals is derived as a by-product.
DYNAMICAL ASPECTS OF LIE-POISSON STRUCTURES
Authors: LIZZI F. , MARMO G. , SPARANO G. , VITALE P.
Published: November 2004

Quantum groups can be constructed by applying the quantization by deformation procedure to Lie groups endowed with a suitable Poisson bracket. Here we try to develop an understanding of these structures by investigating dynamical systems which are associated with this bracket. We look at SU(2) and SU(1, 1), as submanifolds of a four-dimensional phase space with constraints, and deal with two classes of problems. In the first set of examples we consider some Hamiltonian systems associated with Lie-Poisson structures and we investigate the equations of motion. In the second set of examples we consider systems which preserve the chosen bracket, but are dissipative. However in this approach, they survive the quantization procedure.
A NEW EXAMPLE OF N = 2 SUPERSYMMETRIC LANDAU-GINZBURG THEORIES: THE TWO-RING CASE
Authors: PERELOMOV ASKOLD M. , ROAN SHI-SHYR
Published: November 2004

The new example of N = 2 supersymmetric Landau-Ginzburg theories is considered when the critical values of the superpotential w (x) form the regular two-ring configuration. It is shown that at the deformation, which does not change the form of this configuration, the vacuum state metric satisfies the equation of non-Abelian 2 × 2 Toda system.
NEW EXPERIMENTAL LIMIT ON THE SPATIAL ANISOTROPY FOR POLARIZED ELECTRONS
Authors: WANG SHIH-LIANG , NI WEI-TOU , PAN SHEAU-SHI
Published: November 2004

Is our laboratory in an isotropic state for spin states? For example, motion of the earth through the cosmic neutrino background would produce a term of the form gσ · v in the energy of an electron. Certain kinds of vacuum states have this effect on electrons too. To search for such a term or a term like g′σ · n where n is a particular direction in the universe, we use a torsion pendulum carrying a transversely spin-polarized ferrimagnetic Dy-Fe mass which exhibit orbital compensation of the electron intrinsic spin magnetic moments. With this magnetic compensated mass, pure-Fe and µ-metal shields reduced magnetic torques to a good extent. The searched terms would produce a sinusoidal oscillation of the pendulum with a period of one sidereal day. We have not detected such an oscillation. Analysis of our experimental results gives a limit 3.5×10−18 eV for the splitting of the spin states of an electron at rest on the Earth. Compared to previous results, this is an improvement of more than a factor of 2.
ON THE EQUIVALENCE BETWEEN THE UNIFIED AND STANDARD VERSIONS OF CONSTRAINT DYNAMICS
Authors: BATALIN I.A. , TYUTIN I.V.
Published: November 2004

The structure of physical operators and states of the unified constraint dynamics is studied. The genuine second class constraints encoded are shown to be the superselection operators. The unified constrained dynamics is established to be physically-equivalent to the standard BFV-formalism with constraints split.
BACKGROUND FOR (μ-, e-) CONVERSION IN NUCLEI FROM MUON DECAY IN ORBIT
Authors: CHIANG H. C. , OSET E.
Published: November 2004

A reanalysis of the problem of μ- decay in orbit is done in order to estimate backgrounds for (μ-, e-) conversion. Some approximations are done in order to obtain a very simple formula for the decay rate close to the maximum electron energy. Comparison with more sophisticated approaches leads to differences in the results which cannot be easily interpreted in terms of the approximations which has been done so far. In view of the relevance of this reaction in the planning of (μ-, e-) conversion experiments we point out at the convenience of some independent accurate evaluation.
TOWARDS THE GAUGED NON-TOPOLOGICAL SOLITON
Authors: YU. MARKIN OLEG
Published: November 2004

The multifermion non-topological soliton with the gauge charge (GNTS) is discussed. Two utmost cases are investigated: the dominance of the kinetic fermion energy over the Coulomb one and vice versa. The behavior of the GNTS energy as a function of its charge is found in both cases. The GNTS configuration appears to be metastable provided that the ratio between the Yukawa constant and the scalar field four-interaction constant is large.
UNIVERSAL YUKAWA INTERACTIONS IN SUPERSYMMETRY
Authors: DU DONGSHENG , LIU CHUN
Published: November 2004

By assuming universal Yukawa interactions, the hierarchical pattern of the lepton masses can be understood within the framework of supersymmetry. In a realistic model with R-parity violation, the lepton spectra are obtained.
DIRAC EQUATION IN SOME HOMOGENEOUS SPACE-TIMES, SEPARATION OF VARIABLES AND EXACT SOLUTIONS
Authors: VILLALBA VÍCTOR M.
Published: November 2004

In this article, by the use of a further generalization of the algebraic method of separation of variables, the Dirac equation is separated in a family of space-times where it is not possible to find a complete set of first order commuting differential operators. After separation of variables, the Dirac equation is reduced to a set of coupled ordinary differential equations and some exact solutions corresponding to cosmological backgrounds and gravitational waves are computed in terms of hypergeometric functions. The Klein-Gordon equation in this background field is also discussed.
THE STABILITY OF THE MINISUPERSPACE
Authors: ISHIKAWA ATUSHI , ISSE TOSHIKI
Published: November 2004

The stability of the minisuperspace model of the early universe is studied by solving the Wheeler-DeWitt equation numerically. We consider a system of Einstein gravity with a scalar field. When we solve the Wheeler-DeWitt equation, we pick up some inhomogeneous wave modes from infinite wave modes adequately: degrees of freedom of the superspace are restricted to finite. We show that the minisuperspace is stable when a scale factor (a) of the universe is a few times larger than the Planck length, while it becomes unstable when a is comparable to the Planck length.
BLACK HOLES AND RADIOMETRY
Authors: ROSU H.
Published: November 2004

Following Grishchuk and Sidorov in putting the Bogolubov-Hawking coefficient of Schwarzschild black holes in the squeezing perspective, we provide a short discussion of Schwarzschild black holes as radiometric standards.
ELLIPTIC SOLUTION FOR MODIFIED TETRAHEDRON EQUATIONS
Authors: MANGAZEEV V. V. , STROGANOV YU. G.
Published: November 2004

As is known, tetrahedron equations lead to the commuting family of transfer-matrices and provide the integrability of the corresponding three-dimensional lattice models. We present the modified version of these equations which give the commuting family of more complicated two-layer transfer-matrices. In the static limit we have succeeded in constructing the solution of these equations in terms of elliptic functions.
THE INFLUENCE OF NEW PHYSICS ON THE VALUE OF STRONG COUPLING CONSTANT EXTRACTED FROM Z TOTAL HADRONIC WIDTH
Authors: KRASNIKOV N. V.
Published: November 2004

The influence of new compared to standard model interactions on the value of strong coupling constant extracted from Z total hadronic width is discussed. We point out that an apparent discrepancy between the values of effective strong coupling constant αs(MZ) as determined from low versus LEP experiments can be explained provided that squarks and gluino having masses 60–120 GeV or if there are axiglueons with the masses 300–700 GeV.
POWER CORRECTION TO LEADING TWIST VALUE OF DEEP INELASTIC R=σL/σT
Authors: KISELEV V. V.
Published: November 2004

Power correction to the leading twist value of deep inelastic R=σL/σT is estimated at low Q2, within one-loop calculation.
ON THE CURRENT CORRELATORS FOR PLANAR FERMIONS IN MAGNETIC FIELD
Authors: ELIASHVILI M. , TSITSISHVILI G.
Published: November 2004

The invariant structure functions for the current correlators are calculated for the (2+1)-dimensional fermions interacting with the Chern-Simons magnetic field. It is shown that these functions are in fact the lowest order derivatives of one and the same function. The calculations are valid for both the cases of zero as well as for the finite temperatures and are not based on any kind of the low momentum expansion.
TOPOLOGICAL MEANING OF GAUGE ANOMALY AND GAUSSIAN FACTORS
Authors: SHINKE HIROFUMI , SUZUKI HISAO
Published: November 2004

We consider 2n-dimensional non-Abelian gauge anomaly which is derived from (2n+2)-dimensional chiral anomaly using Gaussian factor regularization. Using this expression, we show explicitly the equivalence between the solution of Wess-Zumino condition obtained from (2n+2) dimensions and the anomaly given Fujikawa's method in arbitrary dimensions explicitly by constructing a local counterterm. It is shown that our method is also applicable to open string theories.
CONFORMALLY COVARIANT OPERATORS ON RIEMANN SURFACES (WITH APPLICATIONS TO CONFORMAL AND INTEGRABLE MODELS)
Authors: GIERES FRANÇOIS
Published: November 2004

Following the standard procedure for gauging in Yang-Mills and gravitational theories, we introduce projective connections to covariantize differential operators on Riemann surfaces. We present applications in integrable models (Lax pairs, Poisson operators) and conformal models (conformal Ward identity, diffeomorphism anomaly, Krichever-Novikov algebra, Virasoro algebra and its representations, Kac-Moody algebras, W-algebras, WZW model, twistor theory). The generalization to higher dimensions is indicated and the whole discussion is generalized to the supersymmetric case (both in superspace and in component field formalism).