Induced Chern-Simons terms
Jim McCarthy, Andy Wilkins (University of Adelaide, Australia)
TL;DR
This paper investigates the presence of a three-dimensional Chern-Simons term in the effective action of SU(2)_L gauge theory at different temperatures, revealing its subtle nature through a two-dimensional toy model analysis.
Contribution
It provides a detailed analysis showing the subtlety of the Chern-Simons term's existence in gauge theories, challenging previous assumptions.
Findings
The Chern-Simons term's existence is more subtle than previously thought.
Calculations in a two-dimensional toy model illustrate the complexities involved.
The effective action's structure varies with temperature and chemical potential.
Abstract
We examine the claim that the effective action of four-dimensional SU(2)_L gauge theory at high and low temperature contains a three-dimensional Chern-Simons term with coefficient being the chemical potential for baryon number. We perform calculations in a two-dimensional toy model and find that the existence of the term is rather subtle.
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