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

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

2007-03-29

arxiv.org/abs/hep-th/0703274v1

Physics

High Energy Physics

High Energy Physics - Theory

PhD thesis - 2 March 2006. 121 pages

Scientific paper

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.

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