Spin-1/2 Maxwell Fields
| dc.creator | Armour Jr, Rollin S. | |
| dc.date | 2003-05-12 | |
| dc.date | 2004-04-21 | |
| dc.date.accessioned | 2026-07-07T11:32:10Z | |
| dc.date.available | 2026-07-07T11:32:10Z | |
| dc.description | Requiring covariance of Maxwell's equations without {\it a priori} imposing charge invariance allows for both spin-1 and spin-1/2 transformations of the complete Maxwell field and current. The spin-1/2 case yields new transformation rules, with new invariants, for all traditional Maxwell field and source quantities. The accompanying spin-1/2 representations of the Lorentz group employ the Minkowski metric, and consequently the primary spin-1/2 Maxwell invariants are also spin-1 invariants; for example, $Φ^2 - {\bf A}^2$, ${\bf E}^2 - {\bf B}^2 + 2i {\bf E} \bm{\cdot} {\bf B} - ({\partial}_{0}Φ + {\bm{\nabla \cdot}}{\bf A})^2$. The associated Maxwell Lagrangian density is also the same for both spin-1 and spin-1/2 fields. However, in the spin-1/2 case, standard field and source quantities are complex and both charge and gauge invariance are lost. Requiring the potentials to satisfy the Klein-Gordon equation equates the Maxwell and field-potential equations with two Dirac equations of the Klein-Gordon mass, and thus one complex Klein-Gordon Maxwell field describes either two real vector fields or two Dirac fields, all of the same mass. | |
| dc.description | RevTeX 4, 13 pages. Revision (12-21-03) mostly verbal, reference, and other minor corrections and improvements; (8-10-03) verbal changes; (5-31-03) verbal changes, added Eq. (35) included improper transformations end of Appendix A; (4-21-04) verbal changes for publication | |
| dc.identifier | https://arxiv.org/abs/hep-th/0305084 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0305084 | |
| dc.identifier | Found.Phys.34:815-842,2004 | |
| dc.identifier | doi:10.1023/B:FOOP.0000022188.90097.10 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/197503 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Spin-1/2 Maxwell Fields | |
| dc.type | text |