Cancellation of the Chiral Anomaly in a Model with Spontaneous Symmetry Breaking
نویسنده
چکیده
A perturbatively renormalized Abelian Higgs-Kibble model with a chirally coupled fermion is considered. The Slavnov identity is fulfilled to all orders of perturbation theory, which is crucial for renormalizability in models with vector bosons. BRS invariance, i.e. the validity of the identity, forces the chiral anomaly to be cancelled by Wess-Zumino counterterms. This procedure preserves the renormalizability in the one-loop approximation but it violates the Froissart bounds for partial wave amplitudes above some energy and destroys renormalizability from the second order in h̄ onwards due to the counterterms. 1 Work done at the Institut für Theoretische Physik, Universität Hannover, Appelstraße 2, W-3000 Han-
منابع مشابه
THE FRANK KINETIC MODEL FOR SPONTANEOUS CHIRAL SYMMETRY BREAKING WITH VARIABLE CONCENTRATION OF THE ACHIRAL SUBSTRATE
This paper considers the possibility of spontaneous transition of aracemic mixture (composed of equal amounts of two enantiomeric species, say L and D) into a monochiral state (in which only one enantiomer, say L, is present). Transitions of this kind have been recently experimentally observed. A plausible approach to this phenomenon is a model put forward by Frank, based on simple laws of ...
متن کاملWhat ’ s wrong with anomalous chiral gauge theory ? 1
It is argued on general ground and demonstrated in the particular example of the Chiral Schwinger Model that there is nothing wrong with apparently anomalous chiral gauge theory. If quantised correctly, there should be no gauge anomaly and chiral gauge theory should be renormalisable and unitary, even in higher dimensions and with non-abelian gauge groups. Furthermore, mass terms for gauge boso...
متن کاملAxial-vector currents and τ mesonic decays
A general expression of the axial-vector current is presented, in which both the effects of the chiral symmetry breaking and the spontaneous chiral symmetry breaking are included. A new resonance formula of the axial-vector meson is derived and in the limit of q → 0 this formula doesn’t go back to the “chiral limit“. The studies show that the dominance of the axial-vector meson is associated wi...
متن کاملOn the Spontaneous Identity of Chiral and Super Symmetry Breaking in Pure Super Yang Mills
We show that in supersymmetric pure Yang Mills theories with arbitrary simple gauge group, the spontaneous breaking of chiral fermionic and bosonic charge by the associated gaugino and gauge boson con-densates implies the spontaneous breaking of supersymmetry by the condensate of the underlying Lagrangian density. The explicit breaking of the restricted fermionic charge through the chiral anoma...
متن کاملGLUONIC EFFECTS IN η- and η′-NUCLEON AND NUCLEUS INTERACTIONS
Gluonic degrees of freedom play an important role in the physics of the flavour-singlet J = 1 channel [1] through the QCD axial anomaly [2]. The most famous example is the axial U(1) problem: the masses of the η and η′ mesons are much greater than the values they would have if these mesons were pure Goldstone bosons associated with spontaneously broken chiral symmetry [3]. This extra mass is in...
متن کامل