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Gauge Invariance and Effective Actions in D=3 at Finite Temperature
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For background gauge field configurations reducible to the form Amu = (A3, A(x)) where A3 is a constant, we provide an elementary derivation of the recently obtained result for the exact induced Chern-Simons (CS) effective action in QED3 at finite temperature. The method allows us to extend the result in several useful ways: to obtain the analogous result for the `mixed' CS term in the Dorey-Mavromatos model of parity-conserving planar superconductivity, thereby justifying their argument for flux quantization in the model; to the induced CS term for a tau-dependent flux; and to the term of second order in A(x) (and all orders in A3) in the effective action.
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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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