Monopole BPS-Solutions of the Yang-Mills Equations in Space of Euclid, Riemann, and Lobachevski
| dc.creator | Red'kov, V. M. | |
| dc.date | 2003-06-07 | |
| dc.date.accessioned | 2026-07-07T04:15:19Z | |
| dc.date.available | 2026-07-07T04:15:19Z | |
| dc.description | Procedure of finding of the Bogomolny-Prasad-Sommerfield monopole solutions in the Georgi-Glashow model is investigated in detail on the backgrounds of three space models of constant curvature: Euclid, Riemann, Lobachevski's. Classification of possible solutions is given. It is shown that among all solutions there exist just three ones which reasonably and in a one-to-one correspondence can be associated with respective geometries. It is pointed out that the known non-singular BPS-solution in the flat Minkowski space can be understood as a result of somewhat artificial combining the Minkowski space background with a possibility naturally linked up with the Lobachewski geometry. The standpoint is brought forth that of primary interest should be regarded only three specifically distinctive solutions -- one for every curved space background. In the framework of those arguments the generally accepted status of the known monopole BPS-solution should be critically reconsidered and even might be given away. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0306060 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0306060 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51958 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Monopole BPS-Solutions of the Yang-Mills Equations in Space of Euclid, Riemann, and Lobachevski | |
| dc.type | text |