C. Adam et Gl. Rossini, SCHWINGER TERMS IN WEYL-INVARIANT AND DIFFEOMORPHISM-INVARIANT 2D SCALAR FIELD-THEORY, Physical review. D. Particles and fields, 57(8), 1998, pp. 4833-4838
We compute the Schwinger terms in the energy-momentum tensor commutato
r algebra from the anomalies present in Weyl-invariant and diffeomorph
ism-invariant effective actions for two dimensional massless scalar fi
elds in a gravitational background. We find that the Schwinger terms a
re not sensitive to the regularization procedure and that they are ind
ependent of the background metric.