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.

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

References in corpus (3)

• Non perturbative Adler-Bardeen Theorem
• Universality relations in non-solvable quantum spin chains
• The Global Renormalization Group Trajectory in a Critical Supersymmetric Field Theory on the Lattice Z^3

Cited by in corpus (1)

• Regularized path integrals and anomalies -- U(1) chiral gauge theory