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arXiv · hep-th/0006248

Non local parity transformations and anomalies

M. L. Ciccolini·C. D. Fosco·F. A. Schaposnik
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Abstract

We present an alternative derivation of the parity anomaly for a massless Dirac field in 2+1 dimensions coupled to a gauge field. The anomaly functional, a Chern-Simons action for the gauge field, is obtained from the non-trivial Jacobian corresponding to a non local symmetry of the Pauli-Villars regularized action. That Jacobian is well-defined, finite, and yields the standard Chern-Simons term when the cutoff tends to infinity.

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M. L. Ciccolini, C. D. Fosco, F. A. Schaposnik. 2000-06-30. Non local parity transformations and anomalies. https://doi.org/10.1016/s0370-2693(00)01059-5

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