Quantisation without Witten Anomalies

Details Quantisation without Witten Anomalies Quantisation without Witten Anomalies

1995-04-30

arxiv.org/abs/hep-th/9504164v1

Mod.Phys.Lett. A11 (1996) 2601-2610

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, latex, no figures

Scientific paper

It is argued that the gauge anomalies are only the artefacts of quantum field theory when certain subtleties are not taken into account. With the Berry's phase needed to satisfy certain boundary conditions of the generating path integral, the gauge anomalies associated with homotopically nontrivial gauge transformations are shown explicitly to be eliminated, without any extra quantum fields introduced. This is in contra-distinction to other quantisations of `anomalous' gauge theory where extra, new fields are introduced to explicitly cancel the anomalies.

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