Authors: Giuseppe Benfatto, Pierluigi Falco, Vieri Mastropietro  

Title Functional Integral Construction of the Thirring model: axioms verification and massless limit

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.

Key words:  Chiral anomaly, Renormalization group, OS axioms

Giuseppe Benfatto
Matematica, Universita' di Roma 2
V.le della Ricerca Scientifica
00133 Roma, Italia
tel +39-06-7259-4698

em: benfatto@mat.uniroma2.it

Pierluigi Falco
Matematica, Universita' di Roma 2
V.le della Ricerca Scientifica
00133 Roma, Italia
tel +39-06-7259-4209

em: Pierluigi.Falco@roma1.infn.it