Vector and Axial anomaly in the Thirring-Wess model
High Energy Physics - Theory
2015-05-18 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1001.4994,
title = {Vector and Axial anomaly in the Thirring-Wess model},
author = {Pierluigi Falco},
journal= {arXiv preprint arXiv:1001.4994},
year = {2015}
}
Comments
35 pages, 9 figures, minor changes in the discussion of the references