Showing papers on "Chiral anomaly published in 1984"
TL;DR: In this paper, the consequences of an effective lagrangian for quarks, gluons and goldstone bosons in the region between the chiral symmetry breaking and confinement scales were studied.
1,582 citations
TL;DR: In this paper, the phase transition restoring chiral symmetry at finite temperatures is considered in a linear σ-sigma model. But the model is not suitable for the case of massless flavors.
Abstract: The phase transition restoring chiral symmetry at finite temperatures is considered in a linear $\ensuremath{\sigma}$ model. For three or more massless flavors, the perturbative $\ensuremath{\epsilon}$ expansion predicts the phase transition is of first order. At high temperatures, the ${\mathrm{U}}_{A}(1)$ symmetry will also be effectively restored.
897 citations
CERN1
TL;DR: In this paper, it has been realized that there must be corrections to this simple picture, for example, the meson exchange effects which preclude a simple interpretation of the magnetic moment of the deuteron in terms of d-state probability.
Abstract: Classical nuclear theory deals with a many-body system of neutrons and protons interacting nonrelativistically through two-body potentials. It has, of course, long been realized that there must be corrections to this simple picture—for example, the meson exchange effects which preclude a simple interpretation of the magnetic moment of the deuteron in terms of d-state probability. Nevertheless, the availability of beams of pions, and the consequent ability to study the excitation of real isobars in nuclei, has been critical in the realization that for many problems one must develop a theoretical model which explicitly includes pion and isobar degrees of freedom (see, for example, the proceedings of recent topical conferences Cat+ 82, MT 80).
428 citations
TL;DR: In this paper, it was shown that a Schwinger term can appear in the commutation relations of constraints for the theory of the interacting Yang-Mills field and chiral fermions.
409 citations
TL;DR: Characteristic classes for the index of the Dirac family [unk](A) are computed in terms of differential forms on the orbit space of vector potentials under gauge transformations to represent obstructions to the existence of a covariant Dirac propagator.
Abstract: Characteristic classes for the index of the Dirac family [unk]A are computed in terms of differential forms on the orbit space of vector potentials under gauge transformations. They represent obstructions to the existence of a covariant Dirac propagator. The first obstruction is related to a chiral anomaly.
367 citations
TL;DR: The relation between the recently discovered three-dimensional chiral anomaly and fermion zero modes is drawn and application to planar systems of electrons in an external magnetic field is suggested.
Abstract: Attention is drawn to a relation between the recently discovered three-dimensional chiral anomaly and fermion zero modes. Application to planar systems of electrons in an external magnetic field is suggested.
299 citations
TL;DR: In this article, the Atiyah-Singer formula for the index of Dirac operator was derived and the trace of the chiral anomaly was calculated using the supersymmetric path integral for a spinning particle moving through space-time.
280 citations
TL;DR: In this article, vector mesons in a chiral lagrangian were introduced to stabilize the chiral solitons and the static properties of baryons in this model were computed.
200 citations
TL;DR: In this paper, the authors derived the renormalized gap equation from the Dyson equation for the vector and axial-vector vertices of a non-normal-ordered Coulomb gauge hamiltonian, while disagreeing with the gap equation obtained by Finger and Mandula using a normal ordering prescription.
149 citations
TL;DR: In this article, it was shown that supersymmetry is dynamically broken in SU(5) gauge theory with chiral fields in the 5 and 10 representations, with a well-defined vacuum state.
131 citations
TL;DR: In this paper, the functional integral for a theory of Weyl fermions was defined using finite-mode regularization and the resulting triangle anomaly satisfies the Wess-Zumino consistency conditions.
TL;DR: In this paper, it was shown that systems that break chiral symmetry are so sensitive to small chiral interaction that an interaction energy Eint > 10−15 -10−17kT is sufficient to have strong chiral selectivity.
Abstract: Nonequilibrium symmetry breaking and sensitivity are discussed in the context of the chemistry of chiral molecules. It is shown that systems that break chiral symmetry are so sensitive to small chiral interaction that an interaction energy Eint > 10−15 -10−17kT is sufficient to have strong chiral selectivity. Such energies are within the range of parity violating weak-neutral-current interactions. Chiral interaction energies due to a combination of electric, magnetic, gravitational and centrifugal fields, even when high field strengths are considered, are found to be less than 10−19kT. Plausible chemical systems that involve rhodium catalysts in which weak-neutral-current energies should be high are also briefly discussed.
TL;DR: In this article, a new mechanism for spontaneous violation of chiral symmetry in the instanton vacuum of QCD is proposed, which is due to smearing of the would-be zero fermion eigenmodes of individual pseudo-particles.
TL;DR: In this paper, the influence of the choice of the interpolating field and of the factorization hypothesis for the four quark condensate was investigated and the results were consistent with those obtained from pseudoscalar sum rules and PCAC.
Abstract: We analyse baryonic sum rules in order to determine chiral symmetry breaking condensates. We especially investigate the influence of the choice of the interpolating field and of the factorization hypothesis for the four quark condensate. Our results are consistent with those obtained from pseudoscalar sum rules and PCAC.
TL;DR: In this paper, the consistency conditions of the BRS symmetry in a general N = 1 sypersymmetric Yang-Mills theory with semi-simple gauge group were solved and the supersymmetric extension of the chiral anomaly was found.
TL;DR: In this article, the existence at the linearized level of a new chiral N = 4 extended supergravity theory in six-dimensional spacetime that could couple to the chiral n = 4 antisymmetric tensor multiplet was established.
TL;DR: A detailed account of recent progress in the U(1) problem from the point of view of the anomalous Ward identities and the large N c expansion is given in this paper.
TL;DR: In this paper, the change in the fermionic functional integral measure under chiral rotations is analyzed using the ζ-function method, and the equivalence of different methods under certain conditions on D is proved.
TL;DR: In this article, the (2+1)-dimensional fermion theory coupled with an external electromagnetic field is studied and its connection with the quantized Hall effect is pointed out.
Abstract: Chiral anomaly in (2+1)-dimensional fermion theory coupled with an external electromagnetic field is studied. Its connection with the quantized Hall effect is pointed out. Hall conductivity is quantized and agrees with the experimental value.
TL;DR: In this article, the Nambu and Jona-Lasinio model was used as a QCD-motivated effective lagrangian for the chiral symmetry breaking.
TL;DR: In this article, the nonabelian chiral anomalies relating to the induced one-loop action of a doublet of scalar chiral superfields in a supersymmetric Yang-Mills background were determined.
TL;DR: A general method for constructing exactly solvable fermion determinants is discussed in this paper, where a two-dimensional determinant is solved exactly and a new class of four-dimensional Fermion models is presented.
TL;DR: In this paper, the authors use chiral symmetry to calculate the very long distance contributions to the K L -K S mass difference, and they determine that the dominant effect arises from the two-pion dispersive contribution, which by itself produces a large result comparable to or greater than the experimental mass difference.
TL;DR: The first unambiguous demonstration of spontaneous chiral symmetry breaking in lattice-regularized quenched QCD was given in this paper, where the chiral condensate was calculated for all quark masses using Kogut-Susskind fermions.
TL;DR: In this paper, the relation between chiral anomalies and the effective lagrangian was studied using the differential geometric approach developed by Zumino and others, and a simple formula for the non-abelian (Bardeen) anomaly in any even dimensions was presented.
TL;DR: In this paper, the minimal S -matrix for the principal chiral model using the conserved non-local charge and a discrete symmetry of the theory is obtained, and the bound state is discussed.
TL;DR: In this paper, a class of fermion operators whose determinants can be calculated exactly has been noted, and the appearance of the Wess-Zumino anomaly term is noted.
TL;DR: In this article, it was shown that the path-integral derivation of the axial anomaly, when generalized correctly to the case of parity-violating gauge theories, gives the same result as the use of standard gauge-invariant regulators.
Abstract: It is shown that the path-integral derivation of the axial anomaly, when generalized correctly to the case of parity-violating gauge theories, gives the same result as the use of standard gauge-invariant regulators.
TL;DR: The process through which an extremely weak parity violating interaction, of energy ΔE, can become the selector of molecular chirality over a sufficiently long time is discussed in this paper.
TL;DR: In this paper, a model for dynamical breaking of chiral symmetry in QCD is extended and developed for the calculation of pion and chiral symmetric breaking parameters, where pion is explicitly realized as a massless Goldstone boson and as a bound state of constituent quarks.