Induced Parity Breaking Term in Arbitrary Odd Dimensions at Finite Temperature

Details Induced Parity Breaking Term in Arbitrary Odd Dimensions at Finite Temperature Induced Parity Breaking Term in Arbitrary Odd Dimensions at Finite Temperature

1998-10-23

arxiv.org/abs/hep-th/9810199v1

Phys.Rev. D59 (1999) 085012

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, revtex, no figures

Scientific paper

10.1103/PhysRevD.59.085012

We calculate the exact parity odd part of the effective action ($\Gamma_{odd}^{2d+1}$) for massive Dirac fermions in 2d+1 dimensions at finite temperature, for a certain class of gauge field configurations. We consider first Abelian external gauge fields, and then we deal with the case of a non-Abelian gauge group containing an Abelian U(1) subgroup. For both cases, it is possible to show that the result depends on topological invariants of the gauge field configurations, and that the gauge transformation properties of $\Gamma_{odd}^{2d+1}$ depend only on those invariants and on the winding number of the gauge transformation.

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