Anomalies and symmetries of the regularized action

Authors
Fosco, C.D.; <div class="autor_fcen" id="5620">Mazzitelli, F.D.</div>
Publication Year
2000
Language
English
Format
article
Status
Published version
Description
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 on a scale of 1/M, become the usual Weyl transformations of the metric. We also present the example of the chiral anomaly in 1 + 1 dimensions, showing that the Pauli-Villars regularized action has a non-local symmetry. This symmetry is similar to the one of (lattice) Ginsparg-Wilson fermions, with the ultraviolet cutoff playing the role of the inverse of the lattice spacing. (C) 2000 Elsevier Science B.V.
Fil:Mazzitelli, F.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Source
Phys Lett Sect B Nucl Elem Part High-Energy Phys 2000;481(1):129-135
Subject
Argentina
article
atomic particle
gravity
nuclear physics
quantum mechanics
Access level
Open access
License
http://creativecommons.org/licenses/by/2.5/ar
Repository
Biblioteca Digital (UBA-FCEN)
Institution
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
OAI Identifier
snrd:HASH7acd71197ba8c07a6a21b8