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

Deser, S. and Griguolo, L. and Seminara, D. (1997) Gauge Invariance, Finite Temperature, and Parity Anomaly in D = 3. Physical Review Letters, 79 (11). pp. 1976-1979. ISSN 0031-9007. doi:10.1103/PhysRevLett.79.1976.

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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, where the interplay between gauge and parity anomalies is also exhibited.

Item Type:Article
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URLURL TypeDescription Paper
Deser, S.0000-0001-9285-9434
Additional Information:© 1997 American Physical Society. (Received 8 May 1997) This work is supported by NSF Grant No. PHY-9315811, in part by funds provided by the U.S. DOE under cooperative agreement No. DE-FC02-94ER40818, and by INFN, Frascati, Italy.
Funding AgencyGrant Number
Department of Energy (DOE)DE-FC02-94ER40818
Istituto Nazionale di Fisica Nucleare (INFN)UNSPECIFIED
Issue or Number:11
Classification Code:PACS numbers: 11.10.Wx, 11.10.Kk, 11.15.Bt, 11.30.Rd
Record Number:CaltechAUTHORS:20170110-125046266
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Official Citation:Gauge Invariance, Finite Temperature, and Parity Anomaly in D = 3 S. Deser, L. Griguolo, and D. Seminara Phys. Rev. Lett. 79, 1976
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:73381
Deposited By: George Porter
Deposited On:10 Jan 2017 21:40
Last Modified:11 Nov 2021 05:15

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