Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-07-13
Phys.Rev. D65 (2002) 065013
Physics
High Energy Physics
High Energy Physics - Theory
24 pages. Version to be published in Physical Review D with an added appendix on the consequences of thermal gauge invariance
Scientific paper
10.1103/PhysRevD.65.065013
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 $\vec{E}\neq 0$, 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.
Brandt Fernando T.
Das Ashok
Frenkel Josif
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