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July 2007, hep-th/0601171 Generalized Proca Equations and Vacuum Current from Breaking of Ue(1) × Ug(1) Gauge Symmetry (2007)
BibTeX
@MISC{Ferreira07july2007,,
author = {P. Castelo Ferreira and J. T. Mendonça},
title = {July 2007, hep-th/0601171 Generalized Proca Equations and Vacuum Current from Breaking of Ue(1) × Ug(1) Gauge Symmetry},
year = {2007}
}
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Abstract
We study a Ue(1) × Ug(1) Electric-Magnetic theory with minimal coupling between both gauge fields A (photon) and C (pseudo-photon). We consider two possible mechanism of symmetry breaking that generate generalized Proca masses for the gauge field A. By considering a vacuumexpectation-value (vev) for the C field in the full Ue(1) ×Ug(1) theory we obtain both a mass term and a vacuum current. By considering the broken electric theory Ue(1) we obtain as a solution for the C field a remaining free field c such that, upon be given a vev, renders a mass term for the photon field A. The interpretation for the vev is given in terms of constant currents and homology cycles of the underlying space manifold. The number of degrees of freedom, before and after gauge symmetry breaking, are discussed. As a particular case of this construction the authors have already shown that this mechanism reproduces the Schwinger-Anderson mechanism such that upon gauge symmetry breaking due to non trivial vacuum generates mass for the standard photon (plasmon). We show that, although generally, Lorentz symmetry may be broken in the pseudophoton sector due to its vev, the effective theory for the standard photon still preserves Lorentz invariance.
Keyphrases
gauge symmetry generalized proca equation vacuum current mass term standard photon gauge field homology cycle electric-magnetic theory particular case lorentz symmetry full ue pseudophoton sector underlying space manifold lorentz invariance constant current schwinger-anderson mechanism broken electric theory ue effective theory gauge symmetry breaking possible mechanism trivial vacuum free field photon field proca mass
