Showing papers on "Chiral anomaly published in 1987"
TL;DR: In this paper, it was shown that for small quark masses, low temperatures and large volumes, the main features of the QCD partition function can be predicted on the basis of chiral symmetry.
532 citations
TL;DR: In this paper, it was shown that if the quark masses are very small, the correlation length becomes larger than the size of the box, and that the QCD partition function reduces to a standard integral over the flavour group.
393 citations
TL;DR: A Skyrmion may be regarded as a topologically non-trivial map from one Riemannian manifold to another, minimizing a particular energy functional as mentioned in this paper.
Abstract: A Skyrmion may be regarded as a topologically non-trivial map from one Riemannian manifold to another, minimizing a particular energy functional. We discuss the geometrical interpretation of this energy functional and give examples of Skyrmions on various manifolds. We show how the existence of conformal transformations can cause a Skyrmion on a 3-sphere to become unstable, and how this may be related to chiral symmetry breaking.
192 citations
TL;DR: In this paper, it was shown that Fay's identity implies an equivalence between bosons and chiral fermions on Riemann surfaces with arbitrary genus, and a rule for a bosonized calculation of correlation functions was presented.
91 citations
TL;DR: Euclidean lattice fermions are examined in odd dimensions and it is found that the flavors fall into two equal groups requiring inequivalent representations of the Dirac matrices.
Abstract: Euclidean lattice fermions are examined in odd dimensions The continuum flavours are identified and it is found that the flavours fall into two equal groups requiring inequivalent representations of the Dirac matrices The relationship of this result to the parity transformation and the role of chiral symmetry are elucidated
73 citations
66 citations
CERN1
TL;DR: The chiral phase transition in lattice QCD has been studied for light fermions of mass ma = 0.025 on lattices of size 4 4 and 8 3 × 4 using the hybrid algorithm.
52 citations
TL;DR: In this paper, it has been shown that light dilaton is unlikely in the case of a slowly varying running coupling and chiral symmetry breaking, and the effect of a physical high energy cutoff as motivated in a technicolor context.
49 citations
TL;DR: It is shown, in the case of fermions coupled to a chiral field, that for every value of the coupling constant the energy of the B = 0 sector is lower for a localized Chiral field than for a translationally invariant (uniform) field.
Abstract: It is shown, in the case of fermions coupled to a chiral field, that for every value of the coupling constant the energy of the B=0 sector is lower for a localized chiral field than for a translationally invariant (uniform) field. An expansion is given which converges for fields localized in a region of space smaller than the inverse mass of the fermions and which in lowest order explains the vacuum deformation. Exact energies are calculated for a hedgehog field. The instability of the uniform vacuum is found to increase with the winding number of the chiral field.
39 citations
TL;DR: In this paper, the authors show that the topological charge formalism developed by Garg et al. is related to the chiral anomaly viewpoint of Volovik and co-workers through the Callan-Harvey effect.
TL;DR: In this paper, a non-local formulation of lattice fermions is proposed, which preserves chiral symmetry for vanishing mass and is quite convenient for numerical calculations. But it does not preserve the chiral current.
TL;DR: In this paper, the quantum constraints that define the physical subspace are determined and the physical operators (those that commute with the constraints) are found, and their correlation functions are computed.
TL;DR: In this paper, a method for determining the Green functions in the threshold region in terms of a few coupling constants not fixed by chiral symmetry alone is presented. But this method is not suitable for low-energy QCD.
TL;DR: The derivative-expansion method can be used to study the chiral anomaly in the Schwinger model and the temperature independence of the anomaly is derived in this method.
Abstract: We discuss how the derivative-expansion method can be used to study the chiral anomaly in the Schwinger model. In particular we rederive the temperature independence of the anomaly in this method.
TL;DR: The bosonized form of the chiral two-dimensional QCD Lagrangian exhibiting explicitly the anomalous breaking of gauge invariance is derived and quantized using Dirac's algorithm for constrained systems.
Abstract: We systematically derive the bosonized form of the chiral two-dimensional QCD Lagrangian exhibiting explicitly the anomalous breaking of gauge invariance, and quantize it using Dirac's algorithm for constrained systems. As a side product we also discuss the Hamiltonian formalism for the principal sigma model and derive the commutation relations of the chiral currents in both models.
TL;DR: In this article, the effective potential for spontaneous breaking of chiral symmetry was calculated for finite temperatures and baryon densities from a Nambu-Jona-Lasinio type of Lagrangian with explicit flavour symmetry breaking by bare quark masses.
Abstract: The effective potential for spontaneous breaking of chiral symmetry is calculated for finite temperatures and baryon densities from a Nambu-Jona-Lasinio type of Lagrangian with explicit flavour symmetry breaking by bare quark masses.
TL;DR: In this paper, it is shown that the transition to the infrared stability points of the chiral field with anomaly can be described purely algebraically as a contraction of the dual algebra which has the consequence that the factor space of the corresponding dual sigma model becomes flat.
Abstract: It is shown that the equations of the chiral field with anomaly in d = 2 (the equations of nonlinear sigma models with multiply valued action) possess continuous dual symmetry, and a realization of the duality transformations is found in the explicitly geometrical language of Cartan forms. The connection between this symmetry and the integrability for the chiral field with anomaly is established. Both the ordinary and the supersymmetric cases are considered. The concepts of dual algebra and dual sigma model are introduced, and it is shown that they play an important part in clarifying the classical and quantum structure of the d = 2 models of the chiral field with anomaly. In particular, it is shown that the transition to the infrared stability points of the chiral field with anomaly can be described purely algebraically as a contraction of the dual algebra which has the consequence that the factor space of the corresponding dual sigma model becomes flat. The equations of the model of the n field with anomaly are also analyzed from an analogous point of view. The method of Cartan forms makes it possible to show that the classical dynamics of this model is trivial.
TL;DR: In this article, it was shown that fermions arising from the dimensional reduction of a gauge theory do not survive the subsequent spontaneous symmetry breaking, due to the existence of Higgs particles.
TL;DR: A unified description of the mesons coupled to the gauge bosons of the Glashow-Salam-Weinberg model, which relates various approaches including the old massive Yang-Mills Lagrangian.
Abstract: Based on the generalized hidden local symmetry in the chiral nonlinear \ensuremath{\sigma} model, I present a unified description of the \ensuremath{\pi}, \ensuremath{\rho}, and ${A}_{1}$ mesons coupled to the gauge bosons of the Glashow-Salam-Weinberg model, which relates various approaches including the old massive Yang-Mills Lagrangian.
TL;DR: In this paper, the validity of the Wilson and Kogut-Susskind lattice regularizations of Dirac fermion action was checked by calculating perturbatively the non-abelian chiral anomaly on the lattice.
TL;DR: The role of renormalization effects by one-meson loop diagrams with respect to quartic derivative couplings of modern chiral lagrangians is discussed for ππ-scattering and η′→η2π decay.
TL;DR: After extending the usual theory of optical activity to include weak neutral currents, it is found that for spin-allowed transitions in typical organic molecules the weak photo absorption asymmetry is much smaller than the value obtained using the reasoning of Mason and Tranter.
Abstract: The chiral symmetry breaking of a racemic mixture by the parity violating weak interaction is considered. Particular attention is given to a mechanism recently proposed by Mason and Tranter whereby the weak neutral current interaction in chiral molecules leads to the differential absorption of unpolarized light by D vs. L enantiomers. After extending the usual theory of optical activity to include weak neutral currents, it is found that for spin-allowed transitions in typical organic molecules the weak photoabsorption asymmetry is much smaller than the value obtained using the reasoning of Mason and Tranter. Upon making a comparison with other mechanisms, it is concluded that differential radiolysis by beta electrons is likely to produce the largest symmetry breaking effect by the weak interaction.
TL;DR: In this article, an analysis of the Dyson-Schwinger equation for the quark propagator is improved by taking the Slavnov-Taylor identity into account in the ultraviolet.
Abstract: An earlier analysis of the Dyson–Schwinger equation for the quark propagator is improved by taking the Slavnov–Taylor identity into account in the ultraviolet. It is found that chiral symmetry breaking occurs above a critical coupling in the Landau gauge; but that this result does not hold in other gauges.
TL;DR: In this paper, the possibility that chiral properties may be generated in the vacuum by parallel electric and magnetic fields through the chiral anomaly was discussed. And the possibility of non-reciprocal optical effects would give field-dependent components to the beat frequency in a ring laser.
TL;DR: In this paper, the authors demonstrate explicitly the dimensional ladder which links the d + 2 dimensional chiral anomaly, the d+ 1 dimensional parity anomaly and the d -dimensional gauge anomaly.
TL;DR: In this article, the authors discuss the validity of the chiral anomaly computation of the determinant of the Dirac operator coupled to non-abelian gauge fields in two dimensions and show that the space of gauge fields on S 2 splits into a discrete set of sectors related to the classification of holomorphic line bundles on S2.
TL;DR: In this paper, an approximate quark propagator equation in a Landau-like gauge is analyzed and it is shown that there is a critical value of the coupling constant, corresponding to the onset of dynamical chiral symmetry breakdown.
Abstract: An approximate quark propagator equation in a Landau‐like gauge is analyzed and it is shown that there is a critical value of the coupling constant, corresponding to the onset of dynamical chiral symmetry breakdown, provided that (a) there is an infrared cutoff, which can be supplied by an effective gluon mass, and (b) there is an ultraviolet cutoff, which may be engendered by a running coupling constant. Dynamical chiral symmetry breakdown is shown not to occur in other gauges under the same circumstances, thus casting doubt upon the approximations commonly used.
TL;DR: The interaction of the fermionic quasiparticles with bosonic collective modes in 3He-A recalls the interaction of massless chiral fermions with photons, W-bosons, and gravitational waves in high-energy physics as discussed by the authors.
Abstract: The interaction of the fermionic quasiparticles with bosonic collective modes in3He-A recalls the interaction of massless chiral fermions with photons, W-bosons, and gravitational waves in high-energy physics. The chiral anomaly and vacuum polarization are responsible for singular dynamics of3He-A atT=0.
TL;DR: Alessandrini and Krzywicki's (AK's) approximation to Weingarten and Velikson's disordered coupling, non-hermitian fermion model is analyzed and found to exhibit doubling as discussed by the authors.