Functional Integral Construction of the Thirring model: axioms verification and massless limit
High Energy Physics - Theory
2010-01-29 v1 Mathematical Physics
math.MP
Abstract
We construct a QFT for the Thirring model for any value of the mass in a functional integral approach, by proving that a set of Grassmann integrals converges, as the cutoffs are removed and for a proper choice of the bare parameters, to a set of Schwinger functions verifying the Osterwalder-Schrader axioms. The corresponding Ward Identities have anomalies which are not linear in the coupling and which violate the anomaly non-renormalization property. Additional anomalies are present in the closed equation for the interacting propagator, obtained by combining a Schwinger-Dyson equation with Ward Identities.
Keywords
Cite
@article{arxiv.hep-th/0606177,
title = {Functional Integral Construction of the Thirring model: axioms verification and massless limit},
author = {G. Benfatto and P. Falco and V. Mastropietro},
journal= {arXiv preprint arXiv:hep-th/0606177},
year = {2010}
}
Comments
55 pages, 9 figures