Explicit Actions for Electromagnetism with Two Gauge Fields from P and T Violation by Electromagnetic Duality Rotations
| Citations: | 10 - 10 self |
BibTeX
@MISC{Ferreira_explicitactions,
author = {P. Castelo Ferreira},
title = {Explicit Actions for Electromagnetism with Two Gauge Fields from P and T Violation by Electromagnetic Duality Rotations},
year = {}
}
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Abstract
We extend the work of Mello and al. based in Cabbibo and Ferrari concerning the description of electromagnetism with two gauge fields from a variational principle, i.e. an action. We provide a systematic independent derivation of the allowed actions which hold only one magnetic and one electric physical fields and are invariant under the discrete symmetries P and T. We conclude that neither the Lagrangean, neither the Hamiltonean, are invariant under the electromagnetic duality rotations. This agrees with the weak-strong coupling mixing characteristic of the duality due to the Dirac quantization condition providing a natural way to differenciate dual theories related by the rotations (the energy is not invariant). Also the electromagnetic rotations violate both P and T by inducing Hopf terms (theta terms) for each sector and a mixed Maxwell term. The canonical structure of the theory is briefly addressed and the magnetic gauge sector is interpreted as a ghost sector. 1
Keyphrases
gauge field electromagnetic duality rotation explicit action systematic independent derivation dirac quantization condition discrete symmetry canonical structure weak-strong coupling theta term dual theory mixed maxwell term hopf term ghost sector natural way electric physical field variational principle magnetic gauge sector electromagnetic rotation
