Ward Identities and chiral anomalies for coupled fermionic chains
Abstract
Coupled fermionic chains are usually described by an effective model written in terms of bonding and anti-bonding spinless fields with linear dispersion in the vicinities of the respective Fermi points. We derive for the first time exact Ward Identities (WI) for this model, proving the existence of chiral anomalies which verify the Adler-Bardeen non-renormalization property. Such WI are expected to play a crucial role in the understanding of the thermodynamic properties of the system. Our results are non-perturbative and are obtained analyzing Grassmann functional integrals by means of Constructive Quantum Field Theory methods.
Cite
@article{arxiv.1103.2744,
title = {Ward Identities and chiral anomalies for coupled fermionic chains},
author = {L. C. Costa and A. Ferraz and V. Mastropietro},
journal= {arXiv preprint arXiv:1103.2744},
year = {2014}
}
Comments
TeX file, 26 pages, 7 figures. Published version, new section added to answer referee remarks and derive the Ward Identites, no modifications in the main result