Induced parity violating thermal effective action for (2+1)-dimensional fermions interacting with a non-Abelian background

Abstract

We study the parity breaking effective action in 2+1 dimensions, generated, at finite temperature, by massive fermions interacting with a non-Abelian gauge background. We explicitly calculate, in the static limit, parity violating amplitudes up to the seven point function, which allows us to determine the corresponding effective actions. We derive the exact parity violating effective action when $\vec{E}=0$. When $\vec{E}\ne 0$, there are families of terms that can be determined order by order in perturbation theory. We attempt to generalize our results to non-static backgrounds through the use of time ordered exponentials and prove gauge invariance, both {\it small} and {\it large}, of the resulting effective action. We also point out some open questions that need to be further understood.

24 pages. Version to be published in Physical Review D with an added appendix on the consequences of thermal gauge invariance

References in corpus (3)

• Parity-violating electromagnetic interactions in QED_3 at finite temperature
• Derivative Expansion and the Effective Action for the Abelian Chern-Simons Theory at Higher Orders
• Large Gauge Ward Identity

Cited by in corpus (4)

• Parity Violating Bosonic Loops at Finite Temperature
• Large Gauge Invariance in NonAbelian Finite Temperature Effective Actions
• Radiative corrections to the Chern-Simons term at finite temperature in the noncommutative Chern-Simons-Higgs model
• Non-Abelian Thermal Large Gauge Transformations in 2+1 Dimensions