Inequivalence of the Massive Vector Meson and Higgs Models on a Manifold with Boundary

Details Inequivalence of the Massive Vector Meson and Higgs Models on a Manifold with Boundary Inequivalence of the Massive Vector Meson and Higgs Models on a Manifold with Boundary

1994-08-08

arxiv.org/abs/hep-th/9408047v2

Phys.Lett. B348 (1995) 481-488

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LATEX File (revised with minor corrections)

Scientific paper

10.1016/0370-2693(95)00198-T

The exact quantization of two models, the massive vector meson model and the Higgs model in the London limit, both describing massive photons, is presented. Even though naive arguments (based on gauge-fixing) may indicate the equivalence of these models, it is shown here that this is not true in general when we consider these theories on manifolds with boundaries. We show, in particular, that they are equivalent only for a special choice of the boundary conditions that we are allowed to impose on the fields.

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