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arXiv · hep-th/0606177

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

G. Benfatto·P. Falco·V. Mastropietro
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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.

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G. Benfatto, P. Falco, V. Mastropietro. 2006-06-19. Functional Integral Construction of the Thirring model: axioms verification and massless limit. https://doi.org/10.1007/s00220-007-0254-y

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