Anomalies and symmetries of the regularized action

Details Anomalies and symmetries of the regularized action Anomalies and symmetries of the regularized action

2000-03-15

arxiv.org/abs/hep-th/0003134v1

Phys.Lett. B481 (2000) 129-135

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Latex

Scientific paper

10.1016/S0370-2693(00)00436-6

We show that the Pauli-Villars regularized action for a scalar field in a gravitational background in 1+1 dimensions has, for any value of the cutoff M, a symmetry which involves non-local transformations of the regulator field plus (local) Weyl transformations of the metric tensor. These transformations, an extension to the regularized action of the usual Weyl symmetry transformations of the classical action, lead to a new interpretation of the conformal anomaly in terms of the (non-anomalous) Jacobian for this symmetry. Moreover, the Jacobian is automatically regularized, and yields the correct result when the masses of the regulators tend to infinity. In this limit the transformations, which are non-local in a scale of 1/M, become the usual Weyl transformation of the metric. We also present the example of the chiral anomaly in 1+1 dimensions.

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