FM 02-2013

Authors: L. C. Costa, A. Ferraz, V. Mastropietro

Title: Ward Identities and chiral anomalies for coupled fermionic chains
 
Abstract: Coupled fermionic chains are usually described in terms of an effective model in the bonding and anti-bonding variables with linear dispersion relation. We will derive for the rst time exact chiral Ward Identities (WI) for this model valid in the limit of removed ultraviolet and at nite volume, proving the existence of chiral anomalies verifying 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 obtained analyzing Grassmann functional integrals through the methods of Constructive Quantum Field Theory.

Keywords: coupled fermionic chains, Ward identities, renormalization group

L. C. Costa
Centro de Ciencias Naturais e Humanas
Universidade Federal do ABC
09210-170, Santo Andre - Brazil

A. Ferraz
International Institute of Physics
Universidade Federal do Rio Grande do Norte
59012-970, Natal - Brazil

Vieri Mastropietro
Dipartimento di Matematica
Università di Milano
Via Saldini, 50, I-20133 Milano - ITALY