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Induced Parity Breaking Term in Arbitrary Odd Dimensions at Finite Temperature
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abstract
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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Cited by 1 Pith paper
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From Dirac Cones to Semions: An Exact Finite-Size Theory of Parity-Anomaly Transport in Chiral Spin Liquids
The parity-odd cylinder determinant of a gapped Dirac cone fixes ν_s = C/2 and K_em = 2C for semion CSLs, with strictly exponential finite-size corrections, confirmed on kagome at three levels.
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