Schwinger terms in Weyl-invariant and diffeomorphism-invariant 2-d scalar field theory

Abstract

We compute the Schwinger terms in the energy-momentum tensor commutator algebra from the anomalies present in Weyl-invariant and diffeomorphism-invariant effective actions for two dimensional massless scalar fields in a gravitational background. We find that the Schwinger terms are not sensitive to the regularization procedure and that they are independent of the background metric.

8 pages, RevTex. Conclusions and references added. To appear in Phys. Rev. D

References in corpus (4)

• Twenty Years of the Weyl Anomaly
• Area-preserving structure of 2d-gravity
• Weyl Invariance and Black Hole Evaporation
• Area-preserving Structure and Anomalies in 1+1-dimensional Quantum Gravity