Atiyah-Singer Index Theorem in an SO(3) Yang-Mills-Higgs system and derivation of a charge quantization condition
| dc.creator | Deguchi, Shinichi | |
| dc.date | 2007-05-22 | |
| dc.date | 2007-11-09 | |
| dc.date.accessioned | 2026-07-07T12:53:17Z | |
| dc.date.available | 2026-07-07T12:53:17Z | |
| dc.description | The Atiyah-Singer index theorem is generalized to a two-dimensional SO(3) Yang-Mills-Higgs (YMH) system. The generalized theorem is proven by using the heat kernel method and a nonlinear realization of SU(2) gauge symmetry. This theorem is applied to the problem of deriving a charge quantization condition in the four-dimensional SO(3) YMH system with non-Abelian monopoles. The resulting quantization condition, eg=n (n: integer), for an electric charge e and a magnetic charge g is consistent with that found by Arafune, Freund and Goebel. It is shown that the integer n is half of the index of a Dirac operator. | |
| dc.description | 18pages, no figures, minor corrections, published version | |
| dc.identifier | https://arxiv.org/abs/0705.3161 | |
| dc.identifier | http://arxiv.org/abs/0705.3161 | |
| dc.identifier | Prog.Theor.Phys.118:769-784,2007 | |
| dc.identifier | doi:10.1143/PTP.118.769 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223573 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.title | Atiyah-Singer Index Theorem in an SO(3) Yang-Mills-Higgs system and derivation of a charge quantization condition | |
| dc.type | text |