Showing papers on "Chiral anomaly published in 1980"
TL;DR: The behavior of the chiral order parameter in the confining phase of the Dirac equation has been analyzed in this paper, where it is shown that chiral symmetry is spontaneously broken.
701 citations
TL;DR: In this article, it was shown that the Jacobian factor in the path-integral measure, which corresponds to the Adler-Bell-Jackiw anomaly, is independent of any smooth regularization procedure of large eigenvalues of Euclidean theory.
Abstract: The Atiyah-Singer index theorem indicates that a naive unitary transformation of basis vectors for fermions interacting with gauge fields is not allowed in general. On the basis of this observation, it was previously shown that the path-integral measure of a gauge-invariant fermion theory is transformed nontrivially under the chiral transformation, and thus leads to a simple derivation of "anomalous" chiral Ward-Takahashi identities. We here clarify some of the technical aspects associated with the discussion. It is shown that the Jacobian factor in the path-integral measure, which corresponds to the Adler-Bell-Jackiw anomaly, is independent of any smooth regularization procedure of large eigenvalues of $D$ in Euclidean theory; this property holds in any even-dimensional space-time and also for the gravitational anomaly. The appearance of the anomaly and its connection with the index theorem are thus related to the fact that the primary importance is attached to the Lorentz-covariant "energy" operator $D$ and that $D$ and ${\ensuremath{\gamma}}_{5}$ do not commute. The abnormal behavior of the path-integral measure at the zero-frequency sector in the presence of instantons and its connection with spontaneous symmetry breaking is also clarified. We comment on several other problems associated with the anomaly and on the Pauli-Villars regularization method.
640 citations
TL;DR: In this article, the transformation laws of chiral superfields with arbitrary Weyl weight w are determined for the U(2) superconformal theory, and a super-conformally invariant density is given for fields with w = 2.
111 citations
TL;DR: A general procedure for constructing solutions to 't Hooft's anomaly equations in left-right asymmetric theories is discussed in this article, where all the known solutions and a few new ones are obtained from a unified treatment.
42 citations
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TL;DR: A model for chiral symmetry breaking in QCD patterned on the BCS theory of superconductivity is given in this paper, where the model is based on a model of the superconducting superconductor.
27 citations
TL;DR: In this paper, a Monte Carlo calculation is described, which assigns different values of these chiral charges to the bare left and right-handed components of a family of fundamental fermions of a given eletric charge and then calculates the fermion mass ratios.
27 citations
TL;DR: In this article, an infinite set of conserved nonlocal currents for two-dimensional chiral models with fields assuming values in an arbitrary Lie group G = SU(2) were derived.
Abstract: We derive an infinite set of conserved nonlocal currents for two-dimensional chiral models with fields assuming values in an arbitrary Lie group G. Explicit formulas are presented for the Minkowski metric, but with slight changes described in the text the analogous results are valid for the Euclidean case as well. The Poisson-bracket algebra of conserved charges is further analyzed for G = SU(2). We expose the geometric structure of chiral models, and outline the relation between models described in this paper and chiral theories corresponding to lower-dimensional homogeneous spaces.
22 citations
TL;DR: In this paper, the authors generalize the variational block-spin methods developed earlier to show that spontaneous breaking of chiral symmetries and the associated massless Goldstone particles arise naturally within the context of strong-coupling lattice gauge theory.
Abstract: We generalize the variational block-spin methods developed earlier to show that spontaneous breaking of chiral symmetries and the associated massless Goldstone particles arise naturally within the context of strong-coupling lattice gauge theory. Our calculations show the importance of preserving continuous chiral symmetry when transcribing the quantum chromodynamics (QCD) of massless quarks onto the lattice. The meson sector is analyzed for both one and three spatial dimensions, and the criteria for recognizing Nambu-Goldstone phenomena are identified. The relation of these results to continuum QCD and to general properties of observed hadrons is also discussed.
17 citations
TL;DR: The supercurrent anomalies of the supercurrent S μ of the supersymmetric Yang-Mills theory in Wess-Zumino gauge were computed in this paper by using the Siegel dimensional regulator of Siegel.
15 citations
TL;DR: In this paper, the chiral Ward identities are solved by the gauge technique to determine the axial Green functions in terms of the fermion propagator, and a relation is obtained between the Fermion mass and the meson mass induced by the dynamical breaking of chiral symmetry.
Abstract: The chiral Ward identities are 'solved' by the gauge technique to determine the axial Green functions in terms of the fermion propagator. After finding the fermion spectral function self-consistently from the field equations, a relation is obtained between the fermion mass and the axial meson mass induced by the dynamical breaking of chiral symmetry.
10 citations
TL;DR: In this article, the connection between the topological properties of the chiral field and the corresponding gauge field is studied, and all chiral fields which can be obtained by means of this construction are described.
TL;DR: Chiral symmetry, implemented by means of effective lagrangians, is used to evaluate the exchange-current contribution to the pion-deuteron scattering length as discussed by the authors, yielding an overall contribution of about 10% of the total scattering length.
TL;DR: In this paper, exact numerical computations of the decay of a metastable vacuum at zero temperature are presented and are used to calculate a lower bound for the Higgs mass, and the dependence of the bound on the Weinberg mixing angle and on chiral symmetry breaking is analyzed.
TL;DR: In this article, the Weinberg-Salam model was used to model the neutrino interactions to the lowest order and the chiral U(1) currents were discussed.
Abstract: If chiral U(1) symmetry is a gauge symmetry, CP is automatically conserved despite the instanton effects, and the weak neutral currents have a definite structure. A realistic SU(2)
L
⊗U(1)⊗U(1)
R
model contains an axion which is consistent with present data. Furthermore the neutrino interactions to lowest order are identical to the Weinberg-Salam model. Implications for the chiral U(1) currents are discussed.
01 Jan 1980
TL;DR: In this article, a model of the pion is presented in which chiral symmetry is dynamically broken prior to confinement and in which a bag-like boundary condition is imposed on the relative qq coordinate.
Abstract: A model of the pion is presented in which chiral symmetry is dynamically broken prior to confinement and in which a bag like boundary condition is imposed on the relative qq coordinate.
TL;DR: In this article, the instanton density is evaluated and used to estimate effective quark-antiquark hamiltonians, as well as the magnitude of chiral symmetry breaking for massless quarks.
TL;DR: In this paper, a definition of differentiation on a lattice which respects the product rule of Leibnitz d(fg)=f dg+(df)g for functions f, g is introduced.
Abstract: With the problem of chiral symmetry on the Wilson lattice in space-time as an objective, we introduce a definition of differentiation on a lattice which respects the product rule of Leibnitz d(fg)=f dg+(df)g for functionsf, g. The derivative is essentially a generalization of the SLAC derivative on a lattice. With this derivative, chiral (symmetry) currents have all the characteristics that they possess in the continuum quantum theory of fields. In particular, the Adler-Bell-Jackiw anomaly theorem has the same form as in the continuum.