Parity violation and gauge noninvariance of the effective gauge field action in three dimensions
- 15 May 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 29 (10), 2366-2374
- https://doi.org/10.1103/physrevd.29.2366
Abstract
The effective gauge field action due to fermions coupled to gauge fields in three dimensions is found to change by under a homotopically nontrivial gauge transformation with winding number . This gauge noninvariance can be eliminated by adding a parity-violating topological term to the action, or by regulating the theory in a way which produces this term automatically in the effective action. The Euler-Heisenberg effective action is calculated in the SU(2) theory and in QED.
Keywords
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