Quantum and Classical Gauge Symmetries

Details Quantum and Classical Gauge Symmetries Quantum and Classical Gauge Symmetries

2000-09-13

arxiv.org/abs/hep-th/0009097v1

Int.J.Mod.Phys. A16 (2001) 1775

Physics

High Energy Physics

High Energy Physics - Theory

7 pages. Talk given at ICHEP2000, Osaka, Japan, July 2000 (to be published in the Proceedings (World Scientific, Singapore))

Scientific paper

10.1142/S0217751X01003044

The use of the mass term of the gauge field as a gauge fixing term, which was discussed by Zwanziger, Parrinello and Jona-Lasinio in a large mass limit, is related to the non-linear gauge by Dirac and Nambu. We have recently shown that this use of the mass term as a gauge fixing term is in fact identical to the conventional local Faddeev-Popov formula without taking a large mass limit, if one takes into account the variation of the gauge field along the entire gauge orbit. This suggests that the classical massive vector theory, for example, could be re-interpreted as a gauge invariant theory with a gauge fixing term added in suitably quantized theory. As for massive gauge particles, the Higgs mechanics, where the mass term is gauge invariant, has a more intrinsic meaning. We comment on several implications of this observation.

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