Non local parity transformations and anomalies
High Energy Physics - Theory
2009-10-31 v1
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.
Cite
@article{arxiv.hep-th/0006248,
title = {Non local parity transformations and anomalies},
author = {M. L. Ciccolini and C. D. Fosco and F. A. Schaposnik},
journal= {arXiv preprint arXiv:hep-th/0006248},
year = {2009}
}
Comments
10 pages, Latex file