Showing papers on "Chiral anomaly published in 1986"
TL;DR: By applying non-abelian bosonization to (1+1) dimensional QED, QCD and Gross-Neveu models, the authors shed light on a number of questions: the consistency of 't Hooft's large-N c spectrum with Coleman's theorem on symmetry breaking and with Steinhardt's baryonium spectrum.
86 citations
TL;DR: In this article, a three-phase model of strongly interacting matter was considered, where each phase was treated as an ideal gas modified by a simple phenomenological interaction feature for nuclear matter, taking into account the baryonic repulsion.
Abstract: We consider a three-phase model of strongly interacting matter, treating each phase as an ideal gas modified by a simple phenomenological interaction feature For nuclear matter, we take into account the baryonic repulsion; for the quark-gluon plasma, we include the bag pressure; the constituent quark phase has a non-zero effective quark mass as well as an independent bag pressure By studying which phase dominates thermodynamically in what region of temperature and baryon number density, we obtain a phase diagram for strongly interacting matter and gain some insight on the relation between deconfinement and chiral symmetry restoration
75 citations
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TL;DR: In this article, the authors reviewed recent developments in Kaluza-Klein theory, starting with spontaneous compactification, and the problem of determining the ground state geometry and its symmetry is discussed.
Abstract: Recent developments in Kaluza-Klein theory are reviewed. Starting with the concept of spontaneous compactification, the problem of determining the ground state geometry and its symmetry is discussed. While it is generally believed that only the zero modes can be relevant for low energy physics, it is possible in some cases to deduce the entire excitation spectrum. This is true when the internal space is a coset space. A technique is described for setting up harmonic expansions on coset spaces. Consistency in chiral Kaluza-Klein theories demands freedom from both gauge and gravitational anomalies. General features of the chiral anomalies are reviewed.
56 citations
TL;DR: In this article, a simple physical description of the mechanism that gives rise to anomalous fermion currents and the topological mass (Chern-Simons term) in the effective gauge theory is given.
54 citations
TL;DR: The quantum dynamics of chiral fermion fields minimally coupled to a gauge field is studied and it is found that for a=1 the generating functional cannot be written in terms of a manifestly Lorentz-invariant Lagrangian.
Abstract: We study the quantum dynamics of chiral fermion fields minimally coupled to a gauge field. The model, originally proposed by Jackiw and Rajaraman, is known to exhibit the anomalous breaking of gauge invariance, which leads to the appearance of an arbitrary parameter a. Both functional and operator techniques are used to obtain the two-point fermion Green's functions for ag1 and a=1. In both cases clustering holds, and the theory contains asymptotically free fermions. The quantum equation of motion for the field tensor resembles formally that of the Proca theory, but with a dynamically generated mass and a nonconserved source. It is found that for a=1 the generating functional cannot be written in terms of a manifestly Lorentz-invariant Lagrangian.
54 citations
TL;DR: In this article, the Polyakov formulation of Bose and spinning strings moving in the space Md × G is considered, where Md is d-dimensional Minkowski space and G is the group manifold O(N) [or SU(N)] These models are characterized by a positive integer k proportional to the (size)2 of the compact dimensions byexploting Bose-Fermi equivalences.
52 citations
TL;DR: In the standard six-quark theory, the weak amplitude for K 0 → vacuum is shown to be quartic in the kaon mass m K. More precisely, it is O( m s 2 − m d 2 ) in the light quark masses m q (q = u, d, s).
49 citations
TL;DR: In this paper, an exact formula for the imaginary part of the effective action for chiral fermions in complex representations of the gauge group G, in the presence of an arbitrary external gauge field configuration, is presented.
46 citations
TL;DR: In this article, the commutator anomaly is derived directly from the non-abelian chiral anomaly and the perturbative calculation is connected to the argument based on cohomology.
45 citations
TL;DR: A non-renormalization theorem is proved for chiral anomalies in N = 1 SYM theories and thereby one-loop criteria are established for theories with β-functions vanishing to all orders as discussed by the authors.
45 citations
TL;DR: Berry's phase in chiral gauge theories is computed in this article, which implies that the anomalous commutator of gauge transformations is the one previously obtained by Faddeev.
TL;DR: In this paper, a chiral Lagrangian for massive pseudoscalar mesons is derived from the QCD-generating functional by the chiral bosonization method, where the low energy region in the fermionic integral where chiral noninvariant quark fluctuations dominate, is described by two mass parameters.
Abstract: A chiral Lagrangian for massive pseudoscalar mesons is derived from the QCD-generating functional by the chiral bosonization method. The low energy region in the fermionic integral where chiral noninvariant quark fluctuations dominate, is described by two mass parameters — an invariant cutoff Λ and a spectral asymmetry M related to the gluon and quark condensates.
TL;DR: An effective chiral meson lagrangian derived from a microscopic quark Lagrangian is derived in this paper, which contains a partial Higgs mechanism for ϱ -A 1 mass splitting reproducing Weinberg and KSFR relations, and includes quartic derivative "Skyrme" terms and the gauges Wess-Zumino term.
Book•
01 Jan 1986
TL;DR: In this paper, the Atiyah-Singer index theorem (for the Euclidean Dirac operator) was shown to be equivalent to the Wess-Zumino effective action in 2n + 1 dimensions.
Abstract: Classical Yang-mills theory.- Path integral quantization of gauge theories.- Background field methods.- Instantons and ?-Vacua.- Schwinger model (QED)2.- Chiral anomaly in (QCD)2.- Fujikawa's path integral method.- Chiral anomaly in the Schwinger-Symanzik formalism.- Anomalous ward identities a la Wess-Zumino.- Topological aspects of the Wess-Zumino effective action.- Topological baryon number and the Skyrme model.- The Atiyah-Singer index theorem (for the Euclidean Dirac operator).- Chiral anomalies and differential geometry.- Effective gauge theory actions in (2n + 1) dimensions.- Chiral anomaly with gravitational background field.- Vacuum charge in 2n + 1 dimensions.
TL;DR: In this article, the phase diagram of lattice SU(2) gauge theory with fundamental representation Higgs fields is probed by l= 1 2 and l = 1 fermions.
TL;DR: The mechanism of dynamical breaking of chiral symmetry and pion properties in the Nambu and Jona-Lasinio model and a covariant and a noncovariant formalism are used.
Abstract: We discuss the mechanism of dynamical breaking of chiral symmetry and pion properties in the Nambu and Jona-Lasinio model. A covariant as well as a noncovariant formalism have been used.
TL;DR: In this paper, the recovery of the chiral symmetry in the lattice Gross·Neveu model with Wilson's fermion was carefully analyzed by using the effective potential obtained in the large N limit.
Abstract: The recovery of the chiral symmetry is carefully analyzed in the lattice Gross·Neveu model with Wilson's fermion, by using the effective potential obtained in the large N limit. It turns out that we have to introduce two bare coupling constants for four· fermi interactions as well as the bare mass term in order to obtain the chiral symmetric theory in the continuum limit. A method is proposed to extract the genuine order parameter that scales in the continuum limit. .
TL;DR: The BRST symmetry of Yang-Mills theories can be gauged via the introduction of an anticommuting single gauge field as mentioned in this paper, which allows an algebraic analysis of the BRST current algebra.
TL;DR: In this paper, an integral representation for the fermion effective action for chiral gauge theories in d = 2 n space-time dimensions is given which is able to reproduce the mismatch, as suggested by differential geometric methods, between the covariant current and the consistent current.
TL;DR: In this article, the fractional discrepancy between the global U(1) chiral anomaly and the index of the Dirac operator was shown to be (δ + (0) − δ - (0)) π where δ ± ( 0) are the left and right-handed zero energy phase shifts.
TL;DR: The method of stochastic quantization of Fermi fields is used to calculate the non-Abelian chiral anomaly and the result obtained is the gauge-covariant anomaly.
Abstract: The method of stochastic quantization of Fermi fields is used to calculate the non-Abelian chiral anomaly. The calculation is based on the formalism for the stochastic quantization of Fermi fields. The regularization scheme followed is the one introduced by Breit, Gupta, and Zaks. The zero-mode ambiguity is avoided by introducing a small energy for the zero mode. The result obtained is the gauge-covariant anomaly.
TL;DR: It is shown that chiral symmetry and chiral anomaly are inherent to the incommensurability of a quasi one-dimensional charge-density-wave system and the explicit breaking of chiral harmony due to the external potential is proved to have sinusoidal dependence on the phase order parameter.
Abstract: It is shown that chiral symmetry and chiral anomaly are inherent to the incommensurability of a quasi one-dimensional charge-density-wave system. The chiral anomaly induced by the applied electric field is interpreted as an acceleration mechanism of the sliding charge-density wave and is connected with the Thomas-Fermi screening effect. The explicit breaking of chiral symmetry due to the external potential is proved to have sinusoidal dependence on the phase order parameter. Possible observable effects are also discussed.
TL;DR: In this article, an algebraic-cohomological method was proposed to calculate an explicit form of the consistent chiral anomaly in a SYM theory coupled to N = 1 supergravity.
TL;DR: Using the pseudo-fermion method U(1) lattice gauge theory with dynamical staggered fermions, a phase transition is observed, separating the strong coupling regime from a phase where chiral symmetry is restored as mentioned in this paper.
TL;DR: A simple Cheshire Cat model in two dimensions is examined, demonstrating that its properties are independent of boundaries by solving for its complete spectrum, which is used to elucidate the more difficult four-dimensional calculations of chiral bag spectra.
Abstract: We examine a simple Cheshire Cat model in two dimensions, demonstrating that its properties are independent of boundaries by solving for its complete spectrum. This calculation is used to elucidate the more difficult four-dimensional calculations of chiral bag spectra. We also discuss the relationship of the Cheshire Cat boundary conditions to bosonization and the chiral anomaly.
TL;DR: A modified one-dimensional path integral is introduced which is directly related to the proper-time method by a Legendre transformation and provides a simple way of evaluating chiral anomalies.
Abstract: We comment on the relation between Schwinger's proper-time method and the one-dimensional supersymmetric path-integral method in the evaluation of chiral anomalies in gauge and gravitational interactions. For this purpose, we introduce a modified one-dimensional path integral which is directly related to the proper-time method by a Legendre transformation. This modified scheme provides a simple way of evaluating chiral anomalies. The one-dimensional path-integral method is also shown to work for the trace anomaly in four-dimensional flat space-time.
TL;DR: In this paper, the supersymmetric non-abelian chiral anomaly is computed in a theory of chiral scalar superfields coupled to external gauge superfields, both in a vector-current conserving scheme and in a left-right symmetric scheme.
TL;DR: In this article, the solution of the factorisation equation possessing G2 symmetry is found in a 7D representation and the bootstrap properties of massive particles of the principal chiral field with G 2 symmetry and the particle spectrum are discussed on the basis of deduced solution.
Abstract: The solution of the factorisation equation possessing G2 symmetry is found in a 7D representation. Bootstrap properties of massive particles of the principal chiral field with G2 symmetry and the particle spectrum are discussed on the basis of the deduced solution.