FM 1-2010 (mp_arc 10-22; arXiv:1001.4994)

Author: Pierluigi Falco

Title: Vector and Axial anomaly in the Thirring-Wess model
Abstract: We study the 2D 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, though 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.

Keywords: quantum field theory, Ward identities, anomalies, Thirring-Wess

Pierluigi Falco
School of Mathematics
IAS Princeton
New Jersey 08540
e-mail: name.surname AT gmail