1993/06/27 by Jouko Mickelsson, Mickelsson, Jouko
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9306133
10pp, talk at the conference "Constraint theory and quantization", Montepulciano, June 1993, written in AMSTEX format
arxiv created 1993/06/27 · arxiv updated 2009/11/30
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.