Regularization of current algebra
Abstract
Description
In this talk I want to explain the operator substractions needed to regularize gauge currents in a second quantized theory. The case of space-time dimension $3+1$ is considered in detail. In presence of chiral fermions the regularization effects a modification of the local commutation relations of the currents by local Schwinger terms. In $1+1$ dimensions one gets the usual central extension (Schwinger term does not depend on background gauge field) whereas in $3+1$ dimensions one gets an anomaly linear in the background potential.
10pp, talk at the conference "Constraint theory and quantization", Montepulciano, June 1993, written in AMSTEX format
10pp, talk at the conference "Constraint theory and quantization", Montepulciano, June 1993, written in AMSTEX format