# Functional Integral Construction of the Massive Thirring model: Verification of Axioms and Massless Limit

@article{Benfatto2006FunctionalIC,
title={Functional Integral Construction of the Massive Thirring model: Verification of Axioms and Massless Limit},
author={Giuseppe Trifoglio Benfatto and Pierluigi Falco and Vieri Mastropietro},
journal={Communications in Mathematical Physics},
year={2006},
volume={273},
pages={67-118}
}
• Published 19 June 2006
• Physics
• Communications in Mathematical Physics
We present a complete construction of a Quantum Field Theory for the Massive Thirring model by following a functional integral approach. This is done by introducing an ultraviolet and an infrared cutoff and by proving that, if the “bare” parameters are suitably chosen, the Schwinger functions have a well defined limit satisfying the Osterwalder-Schrader axioms, when the cutoffs are removed. Our results, which are restricted to weak coupling, are uniform in the value of the mass. The control of…
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