Vector and axial anomaly in the Thirring-Wess model

Journal Article · Sun Aug 15 00:00:00 EDT 2010 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3475536· OSTI ID:21476534

Falco, Pierluigi ^[1]

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1. Institute for Advanced Study, Princeton, New Jersey 08540 (United States)

We study the two dimensional vector meson model introduced by Thirring and Wess, that is to say the Schwinger model with massive photon and massless fermion. We prove, with a renormalization group approach, that the vector and axial Ward identities are broken by the Adler-Bell-Jackiw anomaly; and we rigorously establish three widely believed consequences: (a) the interacting meson-meson correlation equals a free boson propagator, although the mass is additively renormalized by the anomaly; (b) the anomaly is quadratic in the charge, in agreement with the Adler-Bardeen formula; (c) the fermion-fermion correlation has an anomalous long-distance decay.

• OSTI ID: 21476534
• Journal Information: Journal of Mathematical Physics, Vol. 51, Issue 8; Other Information: DOI: 10.1063/1.3475536; (c) 2010 American Institute of Physics; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CORRELATIONS
FERMIONS
PARTICLE DECAY
PHOTONS
PROPAGATOR
RENORMALIZATION
REST MASS
SCHWINGER SOURCE THEORY
SCHWINGER-TOMONAGA FORMALISM
THIRRING MODEL
TWO-DIMENSIONAL CALCULATIONS
VECTOR DOMINANCE MODEL
VECTOR MESONS
VECTORS
WARD IDENTITY
BOSONS
DECAY
ELECTRODYNAMICS
ELEMENTARY PARTICLES
FIELD THEORIES
HADRONS
MASS
MASSLESS PARTICLES
MATHEMATICAL MODELS
MESONS
PARTICLE MODELS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
TENSORS