Parity anomalies in gauge theories in 2 + 1 dimensions |
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| Affiliation: | 1. Stanford Linear Accelerator Center, Stanford University, Stanford, CA 94305, USA;2. Fermi National Accelerator Laboratory, PO Box 500, Batavia, IL 60510, USA |
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| Abstract: | It is shown 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 polarisation tensor. However, a parity anomaly does exist in non-abelian theories due to a conflict between gauge invariance under large gauge transformations and the parity symmetry. |
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