Gauge Invariance, Finite Temperature and Parity Anomaly in D=3

Details Gauge Invariance, Finite Temperature and Parity Anomaly in D=3 Gauge Invariance, Finite Temperature and Parity Anomaly in D=3

1997-05-08

arxiv.org/abs/hep-th/9705052v1

Phys.Rev.Lett.79:1976-1979,1997

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, RevTex

Scientific paper

10.1103/PhysRevLett.79.1976

The effective gauge field actions generated by charged fermions in $QED_3$ and $QCD_3$ can be made invariant under both small and large gauge transformations at any temperature by suitable regularization of the Dirac operator determinant, at the price of parity anomalies. We resolve the paradox that the perturbative expansion is not invariant, as manifested by the temperature dependence of the induced Chern-Simons term, by showing that large (unlike small) transformations and hence their Ward identities, are not perturbative order-preserving. Our results are illustrated through concrete examples of field configurations.

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