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Effective Electric and Magnetic Local Actions for Electromagnetism with two Gauge Fields
| Citations: | 2 - 1 self |
BibTeX
@MISC{Ferreira_effectiveelectric,
author = {P. Castelo Ferreira},
title = {Effective Electric and Magnetic Local Actions for Electromagnetism with two Gauge Fields},
year = {}
}
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Abstract
A simple mechanism of dynamical symmetry breaking of electromagnetism with two gauge fields (U(1) × U(1)) is considered. By considering the action variations with respect to the gauge connections F = dA and G = dC we obtain an electric and a magnetic effective actions (U(1)) that have an extra coupling to the magnetic and electric currents (respectivelly) that decouple from the classical theory, meaning that it does not contribute to the standard equations of motion obtained by varying A and C, i.e. Maxwell equations. The extra gauge field C(or A) effectivelly is fixed by the physical effective field A(or C) constituting a non-trivial configuration C = C(A) (or A = A(C)) such that the field discontinuities (Dirac string or Wu-Yang non-trivial fiber-bundle) are encoded in the extra gauge field C (or A). Our construction is only compactible with local current densities. 1 work supported by SFRH/BPD/17683/2004 and POCTI P-FIS-57547/2004; also at Centra1 Introduction and Discussion The seminal works of Dirac [1] introduced the famous charge quantization relation eg = n
Keyphrases
gauge field effective electric magnetic local action extra gauge field dirac string seminal work standard equation maxwell equation electric current gauge connection da magnetic effective action sfrh bpd physical effective field field discontinuity extra coupling simple mechanism centra1 introduction action variation local current density dynamical symmetry breaking pocti p-fis-57547 famous charge quantization relation non-trivial configuration wu-yang non-trivial fiber-bundle classical theory
