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.

55 pages, 9 figures

References in corpus (2)

• Ward identities and Chiral anomaly in the Luttinger liquid
• Non perturbative Adler-Bardeen Theorem

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