Explicit Actions for Electromagnetism with Two Gauge Fields from $P$ and $T$ Violation by Electromagnetic Duality Rotations
Year: 2005
Type: preprint
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
Source: arXiv (Cornell University)
Author: P. Castelo Ferreira
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2806471938