Rigorous construction of the Thirring model: Ward-Takahashi Identities, Schwinger-Dyson Equations and New Anomalies

Abstract

We provide a rigorous construction of the Schwinger functions for the massive and massless Thirring models. We use the renormalization group approach, controlling its flow through the Ward-Takahashi identities combined with the Schwinger-Dyson equation. The role of the anomalies is discussed.

arXiv commentPhD thesis - 2 March 2006. 121 pages

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