Discrete gauge symmetry in continuum theories

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Symmetry And Conservation Laws, Leptonic, Semileptonic, And Radiative Decays, Black Holes

Scientific paper

We point out that local symmetries can masquerade as discrete global symmetries to an observer equipped with only low-energy probes. The existence of the underlying local gauge invariance can, however, result in observable Aharonov-Bohm-type effects. Black holes can therefore carry discrete gauge charges-a form of nonclassical ``hair.'' Neither black-hole evaporation, wormholes, nor anything else can violate discrete gauge symmetries. In supersymmetric unified theories such discrete symmetries can forbid proton-decay amplitudes that might otherwise be catastrophic.

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