Vector and Axial anomaly in the Thirring-Wess model

Details Vector and Axial anomaly in the Thirring-Wess model Vector and Axial anomaly in the Thirring-Wess model

2010-01-27

arxiv.org/abs/1001.4994v2

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, 9 figures, minor changes in the discussion of the references

Scientific paper

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.

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