Showing papers on "Chiral anomaly published in 1992"
TL;DR: In this article, a lattice theory of massive interacting fermions in 2 n + 1 dimensions was used to simulate the behavior of massless chiral fermion in 2n dimensions if the mass has a step function shape in the extra dimension.
1,029 citations
TL;DR: In this paper, a new method of regularization is developed in which singular functions are written as derivatives of less singular functions which contain a logarithmic mass scale, and the Fourier transform is then defined by formal integration by parts.
285 citations
TL;DR: The nearest-neighvor Heisenberg spin glass in two and three dimensions is studied by means of a T=0 domain-wall renormalization-group method with a focus on the chiral ordering.
Abstract: The nearest-neighbor Heisenberg spin glass in two and three dimensions is studied by means of a T=0 domain-wall renormalization-group method with a focus on the chiral ordering. In d=2 dimensions, both the spin and chiral components order at zero temperature with different correlation-length exponents, while d=3 appears to be just above the lower critical dimension of the chiral component ${\mathit{d}}_{\mathit{l}}^{(\mathit{c})}$, though the possibility that ${\mathit{d}}_{\mathit{l}}^{(\mathit{c})}$=3 cannot be ruled out. A chirality driven mechanism is proposed as a new possible mechanism of experimentally observed spin-glass transitions.
118 citations
TL;DR: This paper used chiral perturbation theory including one-loop contribution to derive formulae needed to deduce pion polarizabilities for γπ→γπ and γγ→ππ data.
71 citations
TL;DR: In this paper, the success of the Lee-Sugawara relation for S-wave amplitudes is understood in the context of chiral perturbation theory since the chiral logarithmic correction to this relation is small.
59 citations
TL;DR: In this paper, the status of the pion-nucleon sigma term and questions of threshold π° photoproduction are discussed, as well as recent developments related to chiral symmetry and its explicit breaking by quark masses are summarized.
57 citations
TL;DR: In this article, it was shown that the spectrum of the finite lattice hamiltonian is chiral below a critical momentum and that the anomalies in the gauge and Goldstone-Wilczek currents cancel as in the continuum.
46 citations
TL;DR: In this paper, an effective ΔS = 1 lagrangian incorporating the chiral anomaly for non-leptonic K decays to O( p 4 ) in chiral perturbation theory.
45 citations
01 Jan 1992
TL;DR: In this article, a lattice theory of massive interacting fermions in 2n + 1 dimensions was used to simulate the behaviour of massless chiral fermion in 2 n dimensions if the mass has a step function shape in the extra dimension.
Abstract: I show that a lattice theory of massive interacting fermions in 2n + 1 dimensions may be used to simulate the behaviour of massless chiral fermions in 2n dimensions if the fermion mass has a step function shape in the extra dimension. The massless states arise as zeromodes bound to the mass defect, and all doublers can be given large gauge invariant masses. The manner in which the anomalies are realized is transparent: apparent chiral anomalies in the 2n dimensional subspace correspond to charge flow into the extra dimension.
45 citations
TL;DR: In this paper, heavy meson, p-to-s-wave, one-pion transitions are studied in the context of the union of heavy quark and chiral symmetries.
44 citations
TL;DR: In this article, the interplay between the chiral anomaly and the weak hamiltonian is studied and the structure of the corresponding effective lagrangian of odd intrinsic parity is established.
TL;DR: In this paper, a new solution to the chiral Schwinger model is presented, which is Lorentz invariant, though this is not manifest in the bosonized action.
TL;DR: In this paper, the relationship of the Berry phase with the topological aspects of a fermion and chiral anomaly is studied, and it is observed that this phase reflects the effect of quantum geometry when the quantization procedure of a Fermi field is considered from a classical system and may be considered as the manifestation of the multiply connected nature of quantum space-time.
Abstract: The relationship of the Berry phase with the topological aspects of a fermion and chiral anomaly is studied here. It is observed that this phase reflects the effect of quantum geometry when the quantization procedure of a Fermi field is considered from a classical system and may be considered as the manifestation of the multiply connected nature of quantum space‐time.
TL;DR: In this paper, a quark model involving both scalar and vector interactions is studied and the presence of vector interactions makes the vacuum stiffer against chiral symmetry restoration, and on-shell masses and coupling constants are calculated for the π, ω, ϱ and a 1 mesons.
TL;DR: The discussion for exploring chiral symmetry breaking and its restoration and for studying dynamics of meson production (as collective {ital q{bar q}} excitations) in heavy-ion collisions is presented.
Abstract: A transport theory with chiral symmetry is developed from the quark level to describe the chiral dynamics in high-energy heavy-ion collisions. The strong interaction is treated effectively by the Nambu--Jona-Lasinio model. A set of generalized Boltzmann equations of constitutent quarks and mesons is derived by using the closed time-path Green's function technique and a loop expansion approach. Chiral symmetry, energy spectrum and dissipation, and density distributions of constitutent quarks and mesons can then be studied self-consistently in the nonequilibrium dynamical processes. In particular, the discussion for exploring chiral symmetry breaking and its restoration and for studying dynamics of meson production (as collective qq\ifmmode\bar\else\textasciimacron\fi{} excitations) in heavy-ion collisions is presented.
TL;DR: In this paper, the low-energy effective lagrangian produced by a heavy chiral fermion, in the limit M → ∞, was determined, and the effective interaction of vector fields, in anomalous and non-anomalous sectors, and couplings of the Higgs boson were considered.
TL;DR: In this paper, the effects of a strongly interacting symmetry breaking sector of the standard model in γγ→WL+WL− and λγ→ZLZL reactions at TeV energies were analyzed by using chiral lagrangians and chiral perturbation theory.
01 Jan 1992
TL;DR: In this article, a technique for constructing the effective chiral theory for quenched QCD was described, which is a Lagrangian one, with a graded symmetry group which mixes Goldstone bosons and fermions.
Abstract: We describe a technique for constructing the effective chiral theory for quenched QCD. The effective theory which results is a Lagrangian one, with a graded symmetry group which mixes Goldstone bosons and fermions, and with a definite set of Feynman rules. The techniques have been used to calculate chiral logarithms in f K f π , m π , and m K .
TL;DR: In this paper, a lattice regularization of chiral gauge theories is discussed, which does not make use of unphysical auxiliary degrees of freedom, and the fermion doubling problem is solved by a Wilson term.
TL;DR: It turns out that nonlocality leads to the appearance of massless ghost states which play a crucial role in saturating the chiral anomaly and a simple nonlocal field-theory model imitating some distinguishing features of a quark-gluon plasma is suggested.
Abstract: The chirality-breaking effects associated with the axial anomaly at finite temperature are studied. The exact results are obtained in the case when the interaction between fermions in a heat bath is neglected. When the temperature is much greater than the characteristic frequencies and momenta of external fields, the dominant contribution to the anomaly is due not to the pair-creation processes associated with the level-crossing mechanism but rather to the scattering of the existing thermal fermion excitations by the external fields. In two-dimensional QED analyzed in particular detail, this scattering results in an overall shift of momenta of the electrons and positrons in the heat bath. This shift brings about a change of the total chirality required by the anomaly. To account for nontrivial interaction effects is difficult technically. We suggest, however, a simple nonlocal field-theory model imitating some distinguishing features of a quark-gluon plasma. It turns out that nonlocality leads to the appearance of massless ghost states which play a crucial role in saturating the chiral anomaly. The implications of this analysis for the quark-gluon plasma, the physical system of interest, are discussed in detail.
01 Dec 1992
TL;DR: In this paper, the perturbative renormalization of chiral gauge theories in Dimensional Regularization is reviewed with special emphasis to the case of a chiral girders.
Abstract: The perturbative renormalization of gauge theories, in the framework of symmetry breaking regularizations, is reviewed with special emphasis to the case of a chiral gauge theory in Dimensional Regularization.
TL;DR: Campbell et al. as discussed by the authors considered axion fields with a Lorentz Chern-Simons coupling to gravity and found that axion field strength develops a long range scalar 'hair'.
Abstract: Recently Campbell et al (1990) considered Kalb-Ramond axion fields with a Lorentz Chern-Simons coupling to gravity. They found that in the background metric of a slowly rotating Kerr black hole the axion field strength develops a long range scalar 'hair'. The authors shows that the same phenomenon also occurs with 'ordinary' axions, which are not related to form-valued fields. If these scalars couple to the divergence of some anomalous axial vector current, the Hirzebruch signature density acts as a source for the axion. In a Kerr background this leads to an asymptotic 1/r2 fall off of the axion field, i.e., to a scalar 'hair'. Because of the chiral anomaly of the photon (a local version of the signature index theorem), this can happen even in purely bosonic field theory models.
TL;DR: In this paper, an effective lagrangian incorporating approximate chiral symmetry and heavy-quark spin and flavor symmetries was proposed to estimate the effective D∗Dπ coupling.
01 Jan 1992
TL;DR: In this article, it was shown that the Eichten-preskill proposal for constructing lattice chiral gauge theories may not work due to a dynamical behavior similar to that of the Smit-Swift model.
Abstract: We present some results indicating that the Eichten-Preskill proposal for constructing lattice chiral gauge theories may not work due to a dynamical behavior similar to that of the Smit-Swift model.
01 Dec 1992
TL;DR: In this paper, a formal description of the process of matching in effective field theories is given, and the picture suggests that it should be possible to compute nonperturbative corrections to matching reliably.
Abstract: I will begin by giving a formal description of the process of matching in effective field theories. I argue that the picture suggests that it should be possible to compute nonperturbative corrections to matching reliably. I then go on to speculate about a scheme for extending chiral fermions to extra dimensions.
TL;DR: In this article, the authors used the quark triangle diagram for the Adler-Bell-Jackiw axial anomaly and calculated the form factor for the γ ∗ π 0 → γ transition.
TL;DR: In this paper, the correlations of Polyakov loops with the local chiral condensate and the color charge density were investigated in the framework of lattice QCD, and it was shown that virtual antiquarks screen static quarks as expected from QED.
TL;DR: In this article, the authors examined the properties of cold matter at transnuclear densities using an effective lagrangian, suggested by QCD, which incorporates broken scale and chiral invariance.
TL;DR: The quantization of a model which apparently describes chiral bosons is studied, which shows that the space of states is of an indefinite metric and a quartet algebra is seen to emerge.
Abstract: We study in detail the quantization of a model which apparently describes chiral bosons. The model is based on the idea that the chiral condition could be implemented through a linear constraint. We show that the space of states is of an indefinite metric. We cure this disease by introducing ghost fields in such a way that a Becchi-Rouet-Stora-Tyutin symmetry is generated. A quartet algebra is seen to emerge. The quartet mechanism, then, forces all physical states, except the vacuum, to have a zero norm.
TL;DR: Various observables expected to be influenced by chiral and finite temperature properties of the theory reveal patterns which suggest a transition to chiral-symmetry restoration and deconfinement to be the origin of the observed phenomena.
Abstract: The approach to the chiral limit in full QCD is investigated with a blocked Wilson fermionic action Finite size effects prohibit taking the chiral limit on small lattices We find that various observables expected to be influenced by chiral and finite temperature properties of the theory reveal patterns which suggest a transition to chiral-symmetry restoration and deconfinement to be the origin of the observed phenomena