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Parity violation and gauge noninvariance of the effective gauge field action in three dimensions
Abstract
The effective gauge field action due to fermions coupled to $\mathrm{SU}(N)$ gauge fields in three dimensions is found to change by $\ifmmode\pm\else\textpm\fi{}\ensuremath{\pi}|n|$ under a homotopically nontrivial gauge transformation with winding number $n$. 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.
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Citations
Cites
On gauge invariance and vacuum polarization
Schwinger, J. (1951) · Physical Review · doi:10.1103/physrev.82.664 · Cited by 7,116
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Lu, H.-Z., Shan, W.-Y., Yao, W., Niu, Q., & Shen, S.-Q. (2010) · Physical Review B · doi:10.1103/physrevb.81.115407 · Cited by 607
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Metadata
- Authors
- Redlich, A. N.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1984-05-15
- Volume
- 29
- Issue
- 10
- Pages
- 2366-2374
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2166606564
- Cited by
- 770
- References
- 1
- FWCI
- 10.80
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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