Parity anomalies in gauge theories in 2 + 1 dimensions
We show that the introduction of massless fermions in an abelian gauge theory in 2+1 dimensions does not lead to any parity anomaly despite a non-commutativity of limits in the structure function of the odd part of the vacuum polarization tensor. However, parity anomaly does exist in non-abelian theories due to a conflict between gauge invariance under large gauge transformations and the parity symmetry. 6 refs.
- Research Organization:
- Stanford Linear Accelerator Center, Menlo Park, CA (USA); Fermi National Accelerator Lab., Batavia, IL (USA); California Inst. of Tech., Pasadena (USA)
- DOE Contract Number:
- AC03-76SF00515
- OSTI ID:
- 6006134
- Report Number(s):
- SLAC-PUB-3866; ON: DE86008296
- Country of Publication:
- United States
- Language:
- English
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