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Title: Ward identities and chiral anomalies for coupled fermionic chains

Coupled fermionic chains are usually described by an effective model written in terms of bonding and anti-bonding fermionic 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.
Authors:
 [1] ;  [2] ;  [3]
  1. Centro de Ciências Naturais e Humanas, Universidade Federal do ABC, 09210-170 Santo André (Brazil)
  2. Department of Theoretical and Experimental Physics, International Institute of Physics, Universidade Federal do Rio Grande do Norte, 59012-970 Natal (Brazil)
  3. Dipartimento di Matematica F. Enriques, Universitá di Milano, Via C. Saldini 50, 20133 Milano (Italy)
Publication Date:
OSTI Identifier:
22217732
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 54; Journal Issue: 12; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; CHIRALITY; FERMIONS; FUNCTIONAL ANALYSIS; INTEGRAL EQUATIONS; QUANTUM FIELD THEORY; RENORMALIZATION; WARD IDENTITY