Regularization of current algebra

Details Regularization of current algebra Regularization of current algebra

1993-06-27

arxiv.org/abs/hep-th/9306133v1

Physics

High Energy Physics

High Energy Physics - Theory

10pp, talk at the conference "Constraint theory and quantization", Montepulciano, June 1993, written in AMSTEX format

Scientific paper

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.

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