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

  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},
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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