Non local parity transformations and anomalies

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.

10 pages, Latex file

References in corpus (1)

• Anomalies and symmetries of the regularized action

Cited by in corpus (3)

• Generalized parity transformations in the regularized Chern-Simons theory
• Universal Landauer conductance in chiral symmetric 2d systems
• Finite temperature regularization