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

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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Bibliographic Details
Published in:arXiv.org 2007-03
Main Author: Falco, Pierluigi
Format: Article
Language:English
Subjects:
Anomalies
Identities
Online Access:Get full text
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Summary: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.
ISSN:2331-8422