Gauge Invariance, Finite Temperature, and Parity Anomaly in {ital D}=3
- Department of Physics, Brandeis University, Waltham, Massachusetts 02254 (United States)
- Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
The effective gauge field actions generated by charged fermions in QED{sub 3} and QCD{sub 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, where the interplay between gauge and parity anomalies is also exhibited. {copyright} {ital 1997} {ital The American Physical Society}
- DOE Contract Number:
- FC02-94ER40818
- OSTI ID:
- 664486
- Journal Information:
- Physical Review Letters, Vol. 79, Issue 11; Other Information: PBD: Sep 1997
- Country of Publication:
- United States
- Language:
- English
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