Ward identities and chiral anomalies for coupled fermionic chains

Journal Article · Sun Dec 15 00:00:00 EST 2013 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4839416· OSTI ID:22217732

Costa, L. C. ^[1]; Ferraz, A. ^[2]; Mastropietro, Vieri ^[3]

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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)

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.

• OSTI ID: 22217732
• Journal Information: Journal of Mathematical Physics, Vol. 54, Issue 12; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
CHIRALITY
FERMIONS
FUNCTIONAL ANALYSIS
INTEGRAL EQUATIONS
QUANTUM FIELD THEORY
RENORMALIZATION
WARD IDENTITY