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Explicit Actions for Electromagnetism with Two Gauge Fields with Only one Electric and one Magnetic Physical Fields (2006)
BibTeX
@MISC{06explicitactions,
author = {},
title = {Explicit Actions for Electromagnetism with Two Gauge Fields with Only one Electric and one Magnetic Physical Fields},
year = {2006}
}
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Abstract
We extend the work of Mello et 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 have only one magnetic and one electric physical fields and are invariant under the discrete symmetries P and T. We conclude that neither the Lagrangian, nor the Hamiltonian, 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 differentiate dual theories related by the duality rotations (the energy is not invariant). Also the standard electromagnetic duality rotations considered in this work 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.
Keyphrases
gauge field explicit action magnetic physical field duality rotation systematic independent derivation dirac quantization condition discrete symmetry canonical structure standard electromagnetic duality rotation weak-strong coupling theta term dual theory mixed maxwell term hopf term ghost sector electric physical field variational principle magnetic gauge sector natural way electromagnetic duality rotation
