Inconsistency of QED in the Presence of Dirac Monopoles

Details Inconsistency of QED in the Presence of Dirac Monopoles Inconsistency of QED in the Presence of Dirac Monopoles

1994-02-16

arxiv.org/abs/hep-ph/9402293v2

Z.Phys.C65:175-182,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

Extended and combined version, refinements added; 20 LaTex pages, Published in Z. Phys. C65, pp.175-182

Scientific paper

10.1007/BF01571318

A precise formulation of $U(1)$ local gauge invariance in QED is presented, which clearly shows that the gauge coupling associated with the unphysical longitudinal photon field is non-observable and actually has an arbitrary value. We then re-examine the Dirac quantization condition and find that its derivation involves solely the unphysical longitudinal coupling. Hence an inconsistency inevitably arises in the presence of Dirac monopoles and this can be considered as a theoretical evidence against their existence. An alternative, independent proof of this conclusion is also presented.

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