Explicit Actions for Electromagnetism with Two Gauge Fields with Only one Electric and one Magnetic Physical Fields
| dc.creator | Ferreira, P. Castelo | |
| dc.date | 2005-10-07 | |
| dc.date | 2006-08-05 | |
| dc.date.accessioned | 2026-07-07T06:46:52Z | |
| dc.date.available | 2026-07-07T06:46:52Z | |
| dc.description | 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. | |
| dc.description | v2: 12 pages; References added, discussion concerning degrees of freedom corrected; v3: is now used the standard normalization of 1/4 in the actions; the possibility of theta being a pseudo-scalar implied a title changing; eq (23) added; signs corrected in equations (39,45-47); references added | |
| dc.identifier | https://arxiv.org/abs/hep-th/0510063 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0510063 | |
| dc.identifier | J.Math.Phys. 47 (2006) 072902 | |
| dc.identifier | doi:10.1063/1.2219159 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103478 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Explicit Actions for Electromagnetism with Two Gauge Fields with Only one Electric and one Magnetic Physical Fields | |
| dc.type | text |