Finite Temperature Perturbation Theory and Large Gauge Invariance

Abstract

We examine finite temperature perturbation theory for Chern-Simons theories, in the context of an analogue 0+1-dimensional model. In particular, we show how nonextensive terms arise in the perturbative finite temperature effective action, using both the real-time and imaginary-time formalisms. We illustrate how large gauge invariance is restored at all orders, despite being broken at any given order in perturbation theory. We discuss which aspects generalize to a perturbative analysis of finite temperature Chern-Simons terms in higher dimensions.

24 pages RevTex; no figures; reference added

References in corpus (6)

• On The Finite Temperature Chern-Simons Coefficient
• Gauge Invariance, Finite Temperature and Parity Anomaly in D=3
• Effective QED Actions: Representations, Gauge Invariance, Anomalies and Mass Expansions
• Induced Parity Breaking Term at Finite Temperature
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