Dirac Monopole from Lorentz Symmetry in N-Dimensions: II. The Generalized Monopole
| dc.creator | Land, Martin | |
| dc.date | 2006-06-06 | |
| dc.date.accessioned | 2026-07-07T07:13:38Z | |
| dc.date.available | 2026-07-07T07:13:38Z | |
| dc.description | In a previous paper, we found an extension of the N-dimensional Lorentz generators that partially restores the closed operator algebra in the presence of a Maxwell field, and is conserved under system evolution. Generalizing the construction found by Berard, Grandati, Lages and Mohrbach for the angular momentum operators in the O(3)-invariant nonrelativistic case, we showed that the construction can be maximally satisfied in a three dimensional subspace of the full Minkowski space; this subspace can be chosen to describe either the O(3)-invariant space sector, or an O(2,1)-invariant restriction of spacetime. When the O(3)-invariant subspace is selected, the field solution reduces to the Dirac monopole field found in the nonrelativistic case. For the O(2,1)-invariant subspace, the Maxwell field can be associated with a Coulomb-like potential on spacetime, similar to that used by Horwitz and Arshansky to obtain a covariant generalization of the hydrogen-like bound state. In this paper we elaborate on the generalization of the Dirac monopole to N-dimensions. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0606046 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0606046 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112544 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Dirac Monopole from Lorentz Symmetry in N-Dimensions: II. The Generalized Monopole | |
| dc.type | text |