bluuebunny/crossref_metadata_2025 huggingface dataset:
ENTROPY LAW FROM INHOMOGENEOUS THERMOFIELD DYNAMICS
Authors: YAMANAKA Y. , NAKAMURA K.
Published: November 2004

In the framework of thermofield dynamics for spatially inhomogeneous time-dependent nonequilibrium situations, we derive the kinetic equation, which is different from the Boltzmann equation due to quantum effects. It is shown that this kinetic equation leads to the entropy law. An expression for the entropy flow is found.
THE TOPOLOGICAL CP1 MODEL AND THE LARGE-N MATRIX INTEGRAL
Authors: EGUCHI TOHRU , YANG SUNG-KIL
Published: November 2004

We discuss the topological CP 1 model which consists of the holomorphic maps from Riemann surfaces onto CP 1. We construct a large-N matrix model which reproduces precisely the partition function of the CP 1 model at all genera of Riemann surfaces. The action of our matrix model has the form [Formula: see text] where M is an N × N Hermitian matrix and tn,P(tn,Q), (n = 0, 1, 2, …) are the coupling constants of the nth descendant of the puncture (Kähler) operator.
DISCRETE SPECTRAL SHIFT IN AN ANISOTROPIC UNIVERSE
Authors: LAMB D. J. , CAPRI A. Z. , KOBAYASHI M.
Published: November 2004

In this paper we calculate the particle creation as seen by a stationary observer in an anisotropic universe. By using an observer and geometry dependent time to quantize a massive scalar field we show that a discrete energy spectrum shift occurs. The length scale associated with the geometry provides the energy scale by which the spectrum is shifted. The β(p, q) coefficient for the Bogolubov transformation calculated is proportional to a series of delta functions whose argument contains p and q and half multiples of the root of the curvature.
TRANSITION AMPLITUDES WITHIN THE STOCHASTIC QUANTIZATION SCHEME
Authors: HÜFFEL H. , NAKAZATO H.
Published: November 2004

Quantum mechanical transition amplitudes are calculated within the stochastic quantization scheme for the free nonrelativistic particle, the Harmonic oscillator and the nonrelativistic particle in a constant magnetic field; we conclude with free Grassmann quantum mechanics.
NEW TENSOR INTERACTIONS IN μ-DECAY
Authors: CHIZHOV M. V.
Published: November 2004

The most general form of Hamiltonian for the muon decay is presented. We assume that it arises as a result of the exchange of intermediate bosons with a momentum q and naturally should depend on this momentum. That allows us to introduce two additional coupling constants for the tensor interactions which give rise to new parameters in the energy spectrum of positrons. The experimental consequences of such a generalization are discussed.
ON THE ANOMALOUS MAGNETIC MOMENT IN HETEROTIC SUPERSTRINGS
Authors: PASQUINUCCI ANDREA , ROLAND KAJ
Published: November 2004

We address the problem of computing amplitudes with external space-time fermions in four-dimensional heterotic string theories. As a non-trivial example we consider the anomalous magnetic moment at one-loop level for an "electron" with mass of the order of the Planck mass. We check that the anomalous magnetic moment vanishes if the model is space-time supersymmetric, as required by the supersymmetric sum rules.
PRODUCTION OF CHARMONIUM-NUCLEON BOUND STATES IN THE TOPOLOGICAL SOLITON MODEL
Authors: GOBBI CARLO , BOFFI SIGFRIDO , KHARZEEV DMITRI E.
Published: November 2004

The photo- and electro-production cross-sections of charmonium-nucleon bound states on protons are calculated in the framework of the topological soliton model. The size of these cross-sections is predicted too small to be detected using present experimental facilities.
TOPOLOGICAL STRUCTURE IN $\hat c =1$ FERMIONIC STRING THEORY
Authors: HIRANO SHINJI , ISHIKAWA HIROSHI
Published: November 2004

[Formula: see text] fermionic string theory, which is considered as a fermionic string theory in two dimensions, is shown to decompose into two mutually independent parts, one of which can be viewed as a topological model and the other is irrelevant for the theory. The physical contents of the theory is largely governed by this topological structure, and the discrete physical spectrum of [Formula: see text] string theory is naturally explained as the physical spectrum of the topological model. This topological structure turns out to be related with a novel hidden N = 2 superconformal algebra (SCA) in the enveloping algebra of the N = 3 SCA in fermionic string theories.
QUANTUM KINKS: SELF-CREATING FRACTIONIZATION OF THE FERMION NUMBER
Authors: CASAHORRÁN J. , RIVERO A. , CIRIA J. C.
Published: November 2004

At classical level the topological soliton-like configurations of a certain model can be defined as the finite energy solutions of the equations of motion with suitable boundary conditions at infinity (in our case the scalar field must approach any two different neighboring minima of the classical potential as x → ±∞). Once certain quantum corrections have been taken into account, we can refer to the quantum soliton-like objects as the field configurations which extremize the effective action. We find quantum kinks in a bidimensional ϕ6 field theory with a Yukawa coupling to N fermion flavors once the one-loop terms of the effective potential have been computed in the large-N limit. As the soliton-like configuration exhibits the right behavior at infinity the topological phenomenon in the fractionization consisting of the fermion number is feasible in the model. The possibility that a single fermion could become unstable to the formation of a kink-antikink pair each carrying a fermion number of one-half is discussed in a more cursory way.
4-DIMENSIONAL AND 2-DIMENSIONAL EVAPORATING DILATONIC BLACK HOLES
Authors: PELEG YOAV
Published: November 2004

The picture of S-wave scattering from a 4-D extremal dilatonic black hole is examined. Classically, a small matter shock wave will form a non-extremal black hole. In the “throat region” the r-t geometry is exactly that of a collapsing 2-D black hole. The 4-D Hawking radiation (in this classical background) gives the 2-D Hawking radiation exactly in the throat region. The 4-D geometry outside the throat region is almost the extremal one, and the deviations can be calculated using a linear approximation. Inclusion of the back-reaction changes this picture: the linear approximation is valid only at the beginning of the evaporating process. We give (explicitly) that linear 4-D solution. The linear approximation breaks down even before an apparent horizon is formed, which suggests that the 4-D semiclassical solution may be quite different from the 2-D one.
CRITICAL BEHAVIOR IN c=1 MATRIX MODEL WITH BRANCHING INTERACTIONS
Authors: SUGINO FUMIHIKO , TSUCHIYA OSAMU
Published: November 2004

In order to understand the phase structure of d>1 strings we investigate the c=1 matrix model with g′(tr M(t)2)2 interaction which is the simplest approximation of the large-N reduced model of odd-dimensional matrix field theory. We find three distinct phases: (i) an ordinary c=1 gravity phase, (ii) a branched polymer phase and (iii) an intermediate phase, and compute the disk and cylinder amplitudes in the phases (i) and (iii). Further we also analyze the model with slightly generalized [Formula: see text][Formula: see text] interaction. As a result the multi-critical versions of the phase (ii) are found.
A NOTE ON REPRESENTATIONS OF N=2 SW-ALGEBRAS
Authors: BLUMENHAGEN R. , HÜBEL R.
Published: November 2004

We investigate the representation theory of some recently constructed N=2 super [Formula: see text]-algebras with two generators. Except for the central charges in the unitary minimal series of the N=2 super Virasoro algebra we find no new rational models. However, from our results it is possible to arrange all known N=2 super [Formula: see text]-algebras with two generators and vanishing self-coupling constant into four classes. For the algebras existing for c≥3 which can be understood by the spectral flow of the N=2 super Virasoro algebra we find that the representations have quantized U(1) charge.
Uq(sl(n)) DIFFERENCE OPERATOR REALIZATION
Authors: SHAFIEKHANI AZIZOLLAH
Published: November 2004

A unified and systematic scheme for construction of differential operator realization of any irreducible representation of sl (n) is developed. The q-analog of this unified scheme is used to construct q-difference operator realization of any irreducible representation of Uq(sl(n)). Explicit results for U q( sl (2)), U q( sl (3)) and U q( sl (n)) are given.
ON THE STRING EQUATION AT c=1
Authors: NAKATSU TOSHIO
Published: November 2004

The analog of the string equation which specifies the partition function of c=1 string with a compactification radius β∈Z≥1 is described in the framework of the Toda lattice hierarchy.
ACTION ANGLE VARIABLES FOR COMPLEX PROJECTIVE SPACE AND SEMICLASSICAL EXACTNESS
Authors: OH PHILLIAL , KIM MYUNG-HO
Published: November 2004

We construct the action angle variables of a classical integrable model defined on complex projective phase space and calculate the quantum mechanical propagator in the coherent state path integral representation using the stationary phase approximation. We show that the resulting expression for the propagator coincides with the exact propagator which was obtained by solving the time-dependent Schrödinger equation.
FRACTIONAL QUANTUM HALL EFFECT FROM ANOMALIES IN WZNW MODEL
Authors: CHANDAR L.
Published: November 2004

An approach to understand fractional quantum Hall effect (FQHE) using anomalies is studied in this letter. More specifically, this is done by looking at the anomaly in the current conservation equation of a WZNW theory describing fields living at the edge of the two-dimensional Hall sample. This WZNW theory itself comes from the non-Abelian bosonization of fermions living at the edge. By identifying the anomaly at the edge with the Hall conductivity in the bulk, it is shown that this model can describe the integer or the FQHE depending on the charge matrix used as the generator of gauge transformations at the boundary.
GEOMETRICAL FORMULATION FOR THE SIEGEL SUPERPARTICLE
Authors: DERIGLAZOV A.A. , GALAJINSKY A.V.
Published: November 2004

In the superspace zM=(xμ, θR, θL) the global symmetries for d=10 superparticle model with kinetic terms for both Bose and Fermi variables are shown to form a superalgebra, which includes the Poincaré superalgebra as a subalgebra. The subalgebra is realized in the space of variables of the theory by a nonstandard way. The local version of this model with off-shell closed Lagrangian algebra of gauge symmetries and off-shell global supersymmetry are presented. It is shown that the resulting model is dynamically equivalent to the Siegel superparticle.
ON THE IR-FINITENESS OF THE NONLINEAR O(N) σ-MODEL
Authors: BALASIN H. , KUMMER W. , SCHWEDA M. , PIGUET O.
Published: November 2004

Using the proper definition1 of the massless 2D-propagator – depending on an arbitrary ir-scale μ – we check Elitzur’s conjecture on the ir finiteness of O(N)-invariant Green functions.

Explicit computations to the second order in the coupling constant show that non-invariant correlators become finite but μ-dependent objects, whereas the correlators of invariant operators, which are possible candidates for “physical” observables, do not depend on the ir-scale.
QUANTUM CORRECTIONS TO ENTROPY OF CHARGED DILATONIC BLACK HOLES IN ARBITRARY DIMENSIONS
Authors: SHIRAISHI KIYOSHI
Published: November 2004

The quantum contribution of a scalar field to entropy of a dilatonic black hole is calculated in the brick wall model by the WKB method and analyzed by a high-temperature expansion. If the cutoff distance from the horizon approaches zero, the leading divergent piece of entropy turns out to be proportional to the “area” of the horizon surface (which has (N−1)-dimensional extension in (N+1)-dimensional space-time) and independent of other properties of black holes even in the case of general dilaton coupling. There is also qualitative argument with the known result of subleading divergence for N=3.
THEORETICAL APPROACH TO ALIGNMENT PHENOMENON
Authors: ROYZEN I.
Published: November 2004

An explanation of the puzzling alignment effect observed in cosmic ray experiments is suggested.
R2 GRAVITY IN (2+ε)-DIMENSIONAL QUANTUM GRAVITY
Authors: NISHIMURA JUN , TAMURA SHINYA , TSUCHIYA ASATO
Published: November 2004

We study R2 gravity in (2+ε)-dimensional quantum gravity. Taking care of the oversubtraction problem in the conformal mode dynamics, we perform a full order calculation of string susceptibility in the ε→0 limit. The result is consistent with that obtained using Liouville approach.
STRANGE QUARK MATTER IN STRONG MAGNETIC FIELD
Authors: CHAKRABARTY SOMENATH , GOYAL ASHOK
Published: November 2004

Using conventional MIT bag model of confinement, the stability of bulk strange quark matter (SQM) in the presence of a strong magnetic field at zero temperature and zero pressure has been investigated. The binding energy of SQM increases in the presence of strong magnetic field greater than or of the order of some critical value at which the cyclotron lines begin to occur. At finite temperature the pressure dependence of the system has also been presented, which differs significantly from zero magnetic field case.
NUCLEAR EQUATION OF STATE IN THE MODIFIED CHIRAL SIGMA MODEL
Authors: SAHU PRADIP K.
Published: November 2004

We have developed a modified chiral sigma model by expressing the scalar and the vector vertices in terms of the positive- and negative-energy projection operators with two additional free parameters. The scalar and the vector coupling constants depend on the density of our model. We find that at densities higher than that of the saturation, the energy per particle decreases as the scalar coupling constant becomes stronger. In this model, the values of incompressibility and effective nucleon mass at the saturation density are sensitive to the strength of the scalar coupling constant. We find that the modified chiral sigma model can overcome the most of the shortcomings of the chiral sigma model and reproduce values of incompressibility, nucleon effective mass and coupling constants at the saturation density in the acceptable range.
BLACK HOLES FROM GENERALIZED CHATTERJEE SOLUTIONS IN DILATON GRAVITY
Authors: MATOS TONATIUH , MACÍAS ALFREDO
Published: November 2004

In the framework of the dilaton gravity theory, we consider the Papapetrou metric together with the harmonic maps ansatz in order to find exact solutions for the field equations of the theory. By this means a generalized four-dimensional solution is obtained which for definite values of the dilaton coupling constant (α) reduces to solutions of the four-dimensional Einstein-Dilaton theory, low energy strings models and Kaluza-Klein theories. In particular, for the last case it contains the four-dimensional version of the well-known Chatterjee solution.
THE MONOMIAL DIVISOR MIRROR MAP FOR LANDAU-GINZBURG ORBIFOLDS
Authors: SATO HITOSHI
Published: November 2004

We present the new explicit geometrical knowledge of the Landau-Ginzburg orbifolds, when a typical type of superpotential is considered. Relying on toric geometry, we show the one-to-one correspondence between some of the (a, c) states with U(1) charges (−1, 1) and the (1, 1) forms coming from blowing-up processes. Consequently, we find the monomial divisor mirror map for Landau-Ginzburg orbifolds. The possibility of the application to the models of other types is briefly discussed.
SCALAR THREE-BODY DECAYS AND SIGNALS FOR NEW PHYSICS
Authors: ADHIKARI RATHIN , MUKHOPADHYAYA BISWARUP
Published: November 2004

If massive invisible particles are pair-produced in a three-body decay, the energy distribution of the other (visible) product will be sensitive to the mass of the invisible pair. We discuss the implications of this fact in the contexts of a Higgs boson decaying into (i) a Z-boson and two massive neutrinos of a fourth generation, and (ii) a Z and two lightest supersymmetric particles in the minimal supersymmetric standard model.
LIE-POISSON STRUCTURE OF CONFORMAL NON-ABELIAN THIRRING MODELS
Authors: SOLOVIEV OLEG A.
Published: November 2004

It is shown that non-Abelian Thirring models can be formulated as the Hamiltonian systems with Poisson brackets of the Lie algebraic structure. This fact allows Thirring models to be quantized by the Hamiltonian method. We show that the classical Lie-Poisson structure can be promoted to the quantum level in two different ways corresponding to different phases of non-Abelian Thirring models. There are special values of coupling constants at which the Hamiltonian quantization of Thirring models can be carried out consistently with the conformal invariance. These fixed couplings appear to be the solutions of the Virasoro master equation.
QUANTIZATION OF THE TOPOLOGICAL σ-MODEL AND THE MASTER EQUATION OF THE BV FORMALISM
Authors: AOYAMA S.
Published: November 2004

We quantize the topological σ-model. The quantum master equation of the Batalin-Vilkovisky formalism ΔρΨ=0 appears as a condition which eliminates the exact states from the BRST invariant states Ψ defined by QΨ=0. The phase space of the BV formalism is a supermanifold with a specific symplectic structure, called the fermionic Kähler manifold.
SU(N) LIE ALGEBRA, EXTENDED TODA LATTICE EQUATION AND THE EXACT SOLUTIONS
Authors: CHOWDHURY A. ROY , CHOUDHURY A. GHOSE
Published: November 2004

An integro-differential generalization of the Toda lattice equation is proposed via the zero curvature equation belonging to SU(N) Lie algebra. It is shown that the exact solutions for this equation can be constructed by the method of chiral vectors. Explicit results are given for SU(2) and SU(3). We also demonstrate that these equations are connected to the constrained WZW theory and hence Polyakov’s two-dimensional gravity.
STRINGS AND NON-TOPOLOGICAL SOLITONS
Authors: FIORE R. , GALEAZZI D. , MASPERI L. , MEGEVAND A.
Published: November 2004

We have numerically calculated topological and non-topological solitons in two spatial dimensions with Chern-Simons term. Their quantum stability, as well as that of the Maxwell vortex, is analyzed by means of bounce instantons which involve three-dimensional strings and non-topological solitons.
FUSION CROSS-SECTION OF SOME REACTION DERIVED FROM THE SKYRME INTERACTION
Authors: HAGER S.A. , HUSSEIN A.
Published: November 2004

Fusion cross-section of reactions Mg24+C12, Mg24+Mg24,26, Si28+Si28,29,30 have been calculated by employing Skyrme effective interaction. SkIII, Ska and SkM*. A comparison with different theoretical approaches is presented. Good agreement has been found between the current results and the corresponding experimental results.
AN O(3) GLOBAL ANOMALY IN 0+1 DIMENSION
Authors: AXENIDES MINOS , NIELSEN HOLGER BECH , JOHANSEN ANDREI
Published: November 2004

We present a simple exactly solvable quantum mechanical example of the global anomaly in an O(3) model with an odd number of fermionic triplets coupled to a gauge field on a circle. Because the fundamental group is non-trivial, π1(O(3))=Z2, fermionic level crossing—circling occurs in the eigenvalue spectrum of the one-dimensional Dirac operator under continuous external field transformations. They are shown to be related to the presence of an odd number of normalizable zero modes in the spectrum of an appropriate two-dimensional Dirac operator. We argue that fermionic degrees of freedom in the presence of an infinitely large external field violate perturbative decoupling.
ON THE UNIQUENESS OF STRING THEORY
Authors: BERKOVITS NATHAN , VAFA CUMRUN
Published: November 2004

We show that bosonic strings may be viewed as a particular class of vacua for N=1 superstrings, and N=1 superstrings may be viewed as a particular class of vacua for N=2 strings. Continuing this line of string hierarchies, we are led to search for a universal string theory which includes all the rest as a special vacuum selection.
TOPOLOGICAL DUALITY BETWEEN REAL SCALAR AND SPINOR FIELDS IN QUANTUM FIELD THEORY, COSMOLOGY, QUANTUM THEORIES OF FUNDAMENTAL EXTENDED OBJECTS
Authors: GONCHAROV YU. P.
Published: November 2004

This survey is devoted to possible manifestations of remarkable topological duality between real scalar and spinor fields (TDSS) existing on a great number of manifolds important in physical applications. The given manifestations are demonstrated to occur within the framework of miscellaneous branches in ordinary and supersymmetric quantum field theories, supergravity, Kaluza-Klein type theories, cosmology, strings, membranes and p-branes. All this allows one to draw the condusion that the above duality will seem to be an essential ingredient in many questions of present and future investigations.
FREE FIELD REPRESENTATION OF TODA FIELD THEORIES
Authors: ALDROVANDI E. , BONORA L. , BONSERVIZI V. , PAUNOV R.
Published: November 2004

We study the following problem: Can a classical sl n Toda field theory be represented by means of free bosonic oscillators through a Drinfeld-Sokolov construction? We answer affirmatively in the case of a cylindrical space-time and for real hyperbolic solutions of the Toda field equations. We establish in fact a one-to-one correspondence between such solutions and the space of free left and right bosonic oscillators with coincident zero modes. We discuss the same problem for real singular solutions with nonhyperbolic monodromy.
QUARK MODEL ANALYSIS OF RADIATIVE PION DECAY
Authors: CHOUDHURY S.R. , ESSAGHOLIAN A. , MAMTA
Published: November 2004

We present a relativistic quark model analysis of radiative pion decay using a systematic application of Low’s bremsstrahlung theorem. Our findings agree reasonably with recent definitive experimental results by the Russian group on the structure-dependent components of the πγA and πγV amplitudes, with the latter agreeing remarkably well with the CVC prediction. Finally we analyze between the quark model calculation and the current algebra prediction and establish the equivalence of the two within the limit of a local πqq interaction.
EXACT NONNULL WAVELIKE SOLUTIONS TO GRAVITY WITH QUADRATIC LAGRANGIANS
Authors: ROBERTS M.D.
Published: November 2004

Solutions to gravity with quadratic Lagrangians are found for the simple case where the only nonconstant metric component is the lapse N and the Riemann tensor takes the form [Formula: see text] thus these solutions depend on cross terms in the Riemann tensor and therefore complement linearized theory where it is the derivatives of the Riemann tensor that matter. The relationship of this metric to the null gravitational radiation metric of Peres is given. Gravitational energy Poynting vectors are constructed for the solutions and one of these, based on the Lanczos tensor, supports the indication in the linearized theory that nonnull gravitational radiation can occur.
PROBABILITY DISTRIBUTION FUNCTIONAL FOR EQUAL-TIME CORRELATION FUNCTIONS IN CURVED SPACE
Authors: SUZUKI HIROSHI , SASAKI MISAO , YAMAMOTO KAZUHIRO , YOKOYAMA JUN’ICHI
Published: November 2004

We present a systematic method to calculate the probability distribution functional (PDF) for spatial configuration of an interacting field in curved space-time. As an example, we consider PDF for the minimally coupled massive λΦ4 theory up to the first order of the coupling constant and evaluate it both in Minkowski and de Sitter spacetimes. We observe that PDF has an ultraviolet divergence even after the ultraviolet renormalization. This divergence is unavoidable to reproduce finite expectation values; thus some kind of regularization is necessary to write down PDF. As an application of it, a scaling law among multipoint correlation functions in the de Sitter space is found.
ASPECTS OF EXACTLY SOLVABLE QUANTUM-CORRECTED 2D DILATON GRAVITY THEORIES
Authors: BILAL ADEL
Published: November 2004

After reviewing the basic aspects of the exactly solvable quantum-corrected dilaton gravity theories in two dimensions, we discuss a (subjective) selection of other aspects: (a) supersymmetric extensions, (b) the canonical formalism, ADM mass and the functional integral measure, and (c) a positive energy theorem and its application to the ADM and Bondi masses.
A q-DEFORMATION OF THE PARASUPERSYMMETRIC QUANTUM MECHANICS
Authors: CHAKRABARTI R. , JAGANNATHAN R.
Published: November 2004

A q-deformation of the parasupersymmetric quantum mechanics of one boson and one parafermion of an arbitrary order p is constructed. The deformed commutators in the algebra generate braid-type relations which lift the degeneracy originally present in the undeformed case. The connection between the deformed algebra and a class of self-similar potentials is discussed.
D = (0|2) DIRAC–MAXWELL–EINSTEIN THEORY AS A WAY FOR DESCRIBING SUPERSYMMETRIC QUARTIONS
Authors: SOROKIN DMITRIJ P. , VOLKOV DMITRIJ V.
Published: November 2004

Drawing an analogy with the Dirac theory of fermions interacting with electromagnetic and gravitational field we write down supersymmetric equations of motion and construct a superfield action for particles with spin [Formula: see text] and [Formula: see text] (quartions), where the role of quartion momentum in effective (2+1)-dimensional space–time is played by an Abelian gauge superfield propagating in a basic two-dimensional Grassmann-odd space with a cosmological constant showing itself as the quartion mass. So, the (0|2) (0 even and 2 odd) dimensional model of quartions interacting with the gauge and gravitational field manifests itself as an effective (2 + 1)-dimensional supersymmetric theory.
EXTENDED CONFORMAL SUPERGRAVITY AND BELTRAMI VARIABLES
Authors: THÜMMEL O.
Published: November 2004

By using a geometric BRST formalism we investigate the two-dimensional N = 2 and N = 4 superspace geometry. The BRST algebra allows one to generalize the notion of Beltrami variables to the extended supergeometries. Furthermore, this geometric treatment yields a systematic way to derive different off-shell supergravities. Finally we construct the Chern–Simons form and calculate from this the superconformal anomaly for the N = 2 and N = 4 theories.
ANNIHILATION POLES FOR FORM FACTORS IN THE XXZ MODEL
Authors: PAKULIAK S.
Published: November 2004

The annihilation poles for the form factors in the XXZ model are studied using vertex operators introduced in Ref. 1. An annihilation pole is the property of form factors according to which the residue of the 2n-particle form factor in such a pole can be expressed through linear combination of the (2n−2)-particle form factors. To prove this property we use the bosonization of the vertex operators in the XXZ model which was invented in Ref. 2.
APPLICATION OF THE RENORMALIZATION GROUP TO ASYMPTOTIC BEHAVIOR IN THE MASS PARAMETER
Authors: AL-KUWARI HEMYAN A. , TAHA M.O.
Published: November 2004

A form of the exact solution of the renormalization group equation of the effective potential, suitable for extracting the asymptotic behavior in the mass parameter, is given. The formalism is applied to five specific examples of renormalizable field theories. A discussion of the significance and relevance of the results is given.
REALIZATION OF BERRY’S PHASE AND HANNAY’S ANGLE THROUGH CANONICAL TRANSFORMATIONS
Authors: BISWAS S.N. , DATTA K. , CHOUDHURY S.R.
Published: November 2004

A new relationship between Berry’s phase and Hannay’s angle (which is its classical counterpart) is established. This relationship is exact and does not depend on semiclassical arguments, though in this note the aforementioned relationship is proved only for a restricted class of Hamiltonians. It is shown that if a Hamiltonian, for which Berry’s phase and Hannay’s angle are nonvanishing, can, in classical theory, be canonically transformed into one for which both are zero, the generating function of this canonical transformation yields, through appropriate averages, both the quantal geometrical phase and its classical analog.
THE TOPOLOGICAL CHARGES OF THE $a_n^{(1)}$ AFFINE TODA SOLITONS
Authors: McGHEE WILLIAM A.
Published: November 2004

The topological charges of the [Formula: see text] affine Toda solitons are considered. A general formula is presented for the number of charges associated with each soliton, as well as an expression for the charges themselves. For each soliton the charges are found to lie in the corresponding fundamental representation, though in general these representations are not filled. Bach soliton’s topological charges are invariant under cyclic permutations of the simple roots plus the extended root or, equivalently, under the action of the Coxeter element (with a particular ordering). Multisolitons are considered and are found to have topological charges filling the remainder of the fundamental representations as well as the entire weight lattice. The article concludes with a discussion of some of the other affine Toda theories.
THE LOW LEVEL MODULAR-INVARIANT PARTITION FUNCTIONS OF RANK-TWO ALGEBRAS
Authors: GANNON TERRY , HO-KIM Q.
Published: November 2004

Using the self-dual lattice method, we make a systematic search for modular-invariant partition functions of the affine algebras g(1) of g=A2, A1+A1, G2, and C2. Unlike previous computer searches, this method is necessarily complete. We succeed in finding all physical invariants for A2 at levels ≤32, for G2 at levels ≤31, for C2 at levels ≤26, and for A1+A1 at levels k1=k2≤21. This work thus completes a recent A2 classification proof, where the levels k=3, 5, 6, 9, 12, 15, 21 had been left out. We also compute the dimension of the (Weyl-folded) commutant for these algebras and levels.
POINCARE INVARIANCE IN TEMPORAL GAUGE CANONICAL QUANTIZATION AND θ VACUA
Authors: KIKUCHI HISASHI
Published: November 2004

The Poincaré invariance in the temporal gauge canonical quantization of QCD is shown manifestly by verifying that the energy-momentum vector and angular momentum tensor satisfy the Poincaré algebra in the physical Hilbert space. Two different values of θ for the θ term in the QCD Lagrangian lead to different representations of the Poincaré group, which are, however, connected by a unitary transformation. Thus it is important to further restrict the physical Hilbert space to evaluate the θ dependence in temporal gauge canonical quantization.
THE PHYSICS RESULTS OF THE UA2 EXPERIMENT AT THE CERN $p\bar{p}$ COLLIDER
Authors: JAKOBS KARL
Published: November 2004

The UA2 experiment at the CERN [Formula: see text] Collider terminated its physics program at the end of 1990. The large data sample collected in the second experimental phase (from 1988 to 1990) at [Formula: see text] allowed detailed tests of many aspects of the Standard Model of particle physics. Precise measurements of electroweak parameters have been performed, predictions of perturbative quantum chromodynamics have been tested, and a new mass range has been explored for the existence of new particles. In this article the final results of the UA2 experiment are summarized and compared to the Standard Model predictions.
THE ALGEBRAIC STRUCTURE OF LORENTZ AND DIFFEOMORPHISM ANOMALIES
Authors: OLIVEIRA M. WERNECK DE , SORELLA S.P
Published: November 2004

The Wess-Zumino consistency conditions for Lorentz and diffeomorphism anomalies are discussed by introducing an operator δ which allows one to decompose the exterior space-time derivative as a BRS commutator.
THE DRESSING TRANSFORMATION OF THE CONFORMAL AFFINE TODA
Authors: HOU BO-YU , YANG WEN-LI
Published: November 2004

We study the dressing transformations of the conformal affine [Formula: see text] Todal which can be obtained from a Hamiltonian reduction. As a special case, we obtain the dressing transformations of the sinh-Gordon model. We will show that the dressing group is the semiclassical limit of the quantum group [Formula: see text]. We will also obtain the algebra of the charges which generate the infinitesimal dressing transformations.
NUMERICAL STUDY OF RADIATIVE CORRECTIONS IN THE LOW Q2 REGION AT HERA
Authors: CHARCHULA K. , GAJEWSKI J.
Published: November 2004

A detailed numerical study of radiative corrections in the low Q2 region at the HERA ep collider was performed. The specific case of the total photoproduction cross section measurement was taken as an example. Two different programs, TERAD91 and HER-ACLES4.2, were used to get an estimate of the size of radiative effects. It was found that radiative corrections can be quite large at some points of the space of leptonic (x, y) variables. However, after imposing experimentally feasible cuts on the radiated photon and the hadronic final state one gets corrections at the level of a few per cent.
CURRENT REDEFINITION AND COUNTERTERMS OF ANOMALIES VIA GAUSSIAN FACTOR REGULARIZATION
Authors: OSABE SATOSHI , SUZUKI HISAO
Published: November 2004

We analyze in detail the structure of anomalies obtained by the Fujikawa method, without using perturbative calculations. We derive most of the known results concerning consistent and covariant anomalies by using the algebraic relations of differential operators and Gaussian factors in the functional space. It turns out that this method is also useful for obtaining a simple expression of the local counterterm for the parity-conserving part of gauge anomalies which cannot be derived by the topological method. We also discuss a regulator ambiguity and obtain a general form of anomaly, which includes consistent and covariant forms, and show that different forms are shifted to one another by the redefinition of the gauge current or the energy-momentum tensor. We specify the gravitational consistent forms of anomaly in the Fujikawa method by using these results.
GROUND STATE CHARGE OF O(3) NONLINEAR σ MODEL SOLITONS IN 2+1 DIMENSIONS
Authors: RAVENDRANADHAN M. , SABIR M.
Published: November 2004

The ground state charge of (2+1)-dimensional nonlinear σ model solitons is calculated by a combination of adiabatic method and spectral flow analysis. Induced charge is calculated by evolving adiabatically the fields from a vacuum having a background field which has spectral symmetry. The spectral flow is calculated by analyzing the bound state spectrum. It is shown that the ground state charge gets contribution only from the lowest angular momentum states and is discontinuous at the fermion mass. It is also shown that the ground state charge is independent of the way in which the final configuration is obtained.
ON THE PHENOMENOLOGICAL σ MODELS
Authors: ACHASOV N.N. , SHESTAKOV G.N.
Published: November 2004

The question of the phenomenological description of the broad scalar resonances compatible with chiral symmetry and unitarity is discussed within the linear σ model. It is shown that the naive consideration of the decay widths in the scalar-meson propagators is not an adequate approximation for the physical amplitudes. In this connection Refs. 8–10 are critically discussed. In particular, the K+→ π+π−e+ν and Ks→ππ decays are treated within the linear σ model with due regard for the unitarity.
STABILIZED MATRIX MODELS FOR NONPERTURBATIVE TWO-DIMENSIONAL QUANTUM GRAVITY
Authors: FEINBERG JOSHUA
Published: November 2004

A thorough analysis of stochastically stabilized Hermitian one-matrix models for two-dimensional quantum gravity at all its (2, 2k − 1) multicritical points is made. It is stressed that only the zero fermion sector of the supersymmetric Hamiltonian, i.e. the forward Fokker–Planck Hamiltonian, is relevant for the analysis of bosonic matter coupled to two-dimensional gravity. Therefore, supersymmetry breaking is not the physical mechanism that creates nonperturbative effects in the case of points of even multicriticality k. Nonperturbative effects in the string coupling constant g str result in a loss of any explicit relation to the KdV hierarchy equations in the latter case, while maintaining the perturbative genus expansion. As a by-product of our analysis it is explicitly proved that polynomials orthogonal relative to an arbitrary weight exp (−βV (x)) along the whole real line obey a Hartree–Fock equation.
CONFINEMENT OF QUARKS AND GLUONS
Authors: NISHIJIMA KAZUHIKO
Published: November 2004

It is proved without recourse to any approximation that quarks and gluons are confined simultaneously when the anomalous dimension of the gluon field is negative in the weak coupling limit. The proof is based on the BRS invariance of quantum chromodynamics and the Oehme–Zimmermann superconvergence relation for the spectral function of the gluon field.
THREE-DIMENSIONAL STATISTICAL MODEL FOR DENSITY FLUCTUATIONS IN HEAVY ION COLLISIONS
Authors: EGGERS H. C. , ELZE HANS-THOMAS , SARCEVIC INA
Published: November 2004

A statistical model of particle production is presented using a Gaussian functional in three dimensions. Identifying the field with the particle density fluctuation results in zero cumulant correlations of order three and higher, while the second order correlation function is of a Yukawa form. The model predicts a parameter-free asymptotic slope of unity for the three-dimensional vertical cumulant. A detailed scheme for projecting the theoretical three-dimensional correlation illustrates how theoretical predictions are tested against experimental moments in the different dimensions. Examples given using NA35 rapidity and p⊥ distributions should be testable against future NA35 and other data.
ARE THERE TOPOLOGICALLY CHARGED STATES ASSOCIATED WITH QUANTUM ELECTRODYNAMICS?
Authors: MARINO E. C.
Published: November 2004

We present a generalization of quantum electrodynamics (QED) in terms of an antisymmetric tensor gauge field. In this formulation the topological current of this field appears as a source for the electromagnetic field and the topological charge therefore acts physically as an electric charge. The charged states of QED lie in the sector where the topological charge is identical to the matter charge. The antisymmetric field theory, however, admits new sectors where the topological charge is more general. These nontrivial, electrically charged sectors contain massless states orthogonal to the vacuum which are created by a gauge-invariant operator and can be interpreted as coherent states of photons. We evaluate the correlation functions of these states in the absence of matter. The new states have a positive definite norm and do interact with the charged states of QED in the usual way. It is argued that if these new sectors are in fact realized in nature, then a very intense background electromagnetic field is necessary for their experimental observation. The order of magnitude of the intensity threshold is estimated. The value of the quantum of charge is also obtained.
CHARGED FERMION STATES IN THE QUENCHED U(1) CHIRAL WILSON–YUKAWA MODEL
Authors: AOKI S. , HIROSE H. , KIKUKAWA Y.
Published: November 2004

The property of charged fermion states is investigated in the quenched U(1) chiral Wilson–Yukawa model. Fitting the charged fermion propagator with a single hyperbolic cosine does not yield reliable results. On the other hand the behavior of the propagator including large lattice size dependence is well described by the large Wilson–Yukawa coupling expansion, providing strong evidence that no charged fermion state exists as an asymptotic particle in this model.
CANONICAL QUANTIZATION APPROACH TO 2D GRAVITY COUPLED TO c < 1 MATTER
Authors: MIKOVIĆ ALEKSANDAR
Published: November 2004

We show that all important features of 2D gravity coupled to c < 1 matter can be easily understood from the canonical quantization approach à la Dirac. Furthermore, we construct a canonical transformation which maps the theory into a free field form, i.e. the constraints become free field Virasoro generators with background charges. This implies the gauge independence of the David–Distler–Kawai results, and also proves the free field assumption which was used for obtaining the spectrum of the theory in the conformal gauge. A discussion of the unitarity of the physical spectrum is presented and we point out that the scalar products of the discrete states are not well defined in the standard Fock space framework.
2D GRAVITY AND MATRIX MODELS I: 2D GRAVITY
Authors: MIRONOV A.
Published: November 2004

Some approaches to 2D gravity which have been developed in the last few years are reviewed. They are physical (Liouville) gravity, topological theories and matrix models. Special attention is paid to matrix models and their interrelations with different approaches. Almost all technical details are omitted, but examples are presented.
LEVEL 2 IRREDUCIBLE REPRESENTATIONS OF $U_q (\widehat{{\rm sl}}_2)$, VERTEX OPERATORS, AND THEIR CORRELATIONS
Authors: IDZUMI MAKOTO
Published: November 2004

Vertex operators associated with level 2 [Formula: see text] modules are explicitly constructed using bosons and fermions. An integral formula is derived for the trace of products of vertex operators. These results are applied to give n-point spin correlation functions of an integrable S = 1 quantum spin chain, extending an earlier work of Jimbo et al. for the case S = 1/2.
DISCRETIZED LAPLACIANS ON AN INTERVAL AND THEIR RENORMALIZATION GROUP
Authors: ERCOLESSI E. , TEOTONIO-SOBRINHO P. , BIMONTE G.
Published: November 2004

The Laplace operator admits infinite self-adjoint extensions when considered on a segment of the real line. They have different domains of essential self-adjointness characterized by a suitable set of boundary conditions on the wave functions. In this paper we show how these extensions can be recovered by studying the continuum limit of certain discretized versions of the Laplace operator on a lattice. Associated to this limiting procedure, there is a renormalization flow in the finite-dimensional parameter space describing the discretized operators. This flow is shown to have infinite fixed points, corresponding to the self-adjoint extensions characterized by scale-invariant boundary conditions. The other extensions are recovered by looking at the other trajectories of the flow.
TRANSITION AMPLITUDE IN (2+1)-DIMENSIONAL CHERN-SIMONS GRAVITY ON A TORUS
Authors: EZAWA KIYOSHI
Published: November 2004

In the framework of the Chern-Simons gravity proposed by Witten, a transition amplitude of a torus universe in (2+1)-dimensional quantum gravity is computed. This amplitude has the desired properties as a probability amplitude of the quantum mechanics of a torus universe, namely, it has a peak on the “classical orbit” and it satisfies the Schrödinger equation of the (2+1)-dimensional gravity. The discussion is given that the classical orbit dominance of the amplitude is not altered by taking the modular invariance into account and that this amplitude can serve as a covariant transition amplitude in a particular sense. A set of the modular-covariant wave functions is also constructed and they are shown to be equivalent to the weight-½ Maass forms.
FATEEV-ZAMOLODCHIKOV SPIN CHAIN: EXCITATION SPECTRUM, COMPLETENESS AND THERMODYNAMICS
Authors: ALBERTINI GIUSEPPE
Published: November 2004

The sector of zero ZN charge is studied for the ferromagnetic (FM) and antiferromagnetic (AFM) version of the (ZN×Z2)-invariant Fateev-Zamolodchikov quantum spin chain. We conjecture that the relevant Bethe ansatz equations should admit, besides the usual stringlike solutions, exceptional multiplets, and a number of nonphysical solutions. Once the physical ones are identified, we show how completeness and the gapless excitation spectrum can be obtained. The central charge is computed from the specific heat and found to be [Formula: see text] (FM) and c=1 (AFM).
CLOSURE OF REPARAMETRIZATION ALGEBRAS AND FLOW DEPENDENCE OF FINITE REPARAMETRIZATIONS
Authors: GRÀCIA XAVIER , PONS JOSEP M. , ROCA JAUME
Published: November 2004

The reparametrization algebra in one dimension and some of its generalizations are studied by applying certain developments on formal integration of infinitesimal gauge transformations. The closure of these algebras is related to the finite form of the reparametrizations; more precisely, to its dependence on the flow of the infinitesimal reparametrization function. The same arguments are extended to the case of N=1 superconformal symmetry.
COMPLETE CLASSES OF GUTS WITH VANISHING ONE-LOOP BETA FUNCTIONS
Authors: LUCHA WOLFGANG , SCHÖBERL FRANZ F.
Published: November 2004

By explicit solution of the one-loop finiteness conditions for all dimensionless coupling constants (i.e. the gauge coupling constant as well as Yukawa and quartic scalar-boson self-interaction coupling constants), two classes of grand unified theories characterized by renormalization-group beta functions which all vanish at least at the one-loop level are constructed and analyzed with respect to the (suspected) appearance of quadratic divergences, with the result that without exception in all of these models the masses of both vector and scalar bosons receive quadratically divergent one-loop contributions.
VECTOR MESON-HADRON COLLISIONS: LARGE INVARIANT MASS AND TRANSVERSE MOMENTUM LEPTON PAIR PRODUCTION
Authors: AGAEV SHAHIN S.
Published: November 2004

In the framework of factorized perturbative QCD, higher twist mesonic binding effects in lepton pair production in vector meson-hadron collisions are investigated. A general expression for the higher twist contributions is derived. As an example, these contributions are calculated in the case of the ρ meson-proton collision and comparisons are made to leading twist ones. It is shown that the higher twist contributions induced by a transversely polarized ρT meson are large for all values of the dilepton transverse momentum pT (2 GeV≤pT≤6 GeV). In the kinematic regimes τ=Q2/S→1 or xF→1, the higher twist corrections induced by both ρT and ρL exceed considerably the leading ones. The Drell-Yan processes with dilepton rapidity y>0 are especially preferable for the observation of these effects.
THREE-DIMENSIONAL STAR-STAR RELATION
Authors: HU ZHAN-NING
Published: November 2004

A complete proof of the three-dimensional star-star relation for the Bazhanov—Baxter model is obtained.
STRING-MOTIVATED GRAND UNIFIED THEORIES WITH HORIZONTAL GAUGE SYMMETRY
Authors: MASLIKOV A.A. , SERGEEV S.M. , VOLKOV G.G.
Published: November 2004

In the framework of four-dimensional heterotic superstring with free fermions, we investigate the rank 8 grand unified string theories (GUST’s) which contain the SU(3) H gauge family symmetry. GUST’s of this type accommodate naturally the three fermion families presently observed and, moreover, can describe the fermion mass spectrum without high-dimensional representations of conventional unification groups. We explicitly construct GUST’s with gauge symmetry G= SU(5) × U(1) ×[ SU(3) × U(1) ]H ⊂ SO (16) in free complex fermion formulation. As the GUST’s originating from Kac-Moody algebras (KMA’s) contain only low-dimensional representations, it is usually difficult to break the gauge symmetry. We solve this problem by taking for the observable gauge symmetry the diagonal subgroup G sym of the rank 16 group G×G ⊂ SO(16) × SO(16) ⊂ E(8)×E(8). Such a construction effectively corresponds to a level 2 KMA, and therefore some higher-dimensional representations of the diagonal subgroup appear. This (due to G×G tensor Higgs fields) allows one to break GUST symmetry down to SU (3c)× U(1) em . In this approach the observed electromagnetic charge Q em can be viewed as a sum of two Q I and Q II charges of each G group. In this case, below the scale where G×G breaks down to G sym the spectrum does not contain particles with exotic fractional charges.
LIMITING LEPTONIC GAUGE BOSON COUPLING FROM NEUTRINO-ELECTRON SCATTERING
Authors: CHHABRA TARANJEET , BABU P. RAM
Published: November 2004

The phenomenological consequences of the leptonic gauge boson (X-), predicted in certain unified theories, are pointed out. The new boson’s contribution in electronic neutrino-electron scattering is calculated. Combining the data on Z decay, electronic neutrino-electron scattering etc., we obtain the region of allowed coupling strengths of X-. The analysis is model-independent but assumes V, A Lorentz structure and μ-e universality.
DETERMINATION OF THE POLARIZED GLUON DISTRIBUTION
Authors: XU ZAIXIN
Published: November 2004

A scheme based on the moment representation of the evolution equations of the parton distribution in a polarized proton is introduced. Within this simple and straightforward scheme, the main evolution features of the polarized parton distributions in the proton can be revealed and, in particular, the sign and the fundamental form of the helicity difference distribution of the gluon can be determined.