The effective gauge field actions generated by charged fermions in QED3 and QCD3 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.

Gauge invariance, finite temperature and parity anomaly in D = 3 / S. DESER; L. GRIGUOLO; D. SEMINARA. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - ELETTRONICO. - 79(1997), pp. 1976-1979. [10.1103/PhysRevLett.79.1976]

Gauge invariance, finite temperature and parity anomaly in D = 3

SEMINARA, DOMENICO
1997

Abstract

The effective gauge field actions generated by charged fermions in QED3 and QCD3 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.
79
1976
1979
S. DESER; L. GRIGUOLO; D. SEMINARA
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2158/223019
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