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

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

2006-06-19

arxiv.org/abs/hep-th/0606177v1

Commun.Math.Phys.273:67-118,2007

Physics

High Energy Physics

High Energy Physics - Theory

55 pages, 9 figures

Scientific paper

10.1007/s00220-007-0254-y

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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