Topologically Massive Abelian Gauge Theory
| dc.creator | Saygili, K. | |
| dc.date | 2007-11-25 | |
| dc.date.accessioned | 2026-07-07T11:38:53Z | |
| dc.date.available | 2026-07-07T11:38:53Z | |
| dc.description | We discuss three mathematical structures which arise in topologically massive abelian gauge theory. First, the euclidean topologically massive abelian gauge theory defines a contact structure on a manifold. We briefly discuss three solutions and the related contact structures on the flat 3-torus, the AdS space, the 3-sphere which respectively correspond to Bianchi type I, VIII, IX spaces. We also present solutions on Bianchi type II, VI and VII spaces. Secondly, we discuss a family of complex (anti-)self-dual solutions of the euclidean theory in cartesian coordinates on R3 which are given by (anti-)holomorpic functions. The orthogonality relation of contact structures which are determined by the real parts of these complex solutions separates them into two classes: the self-dual and the anti-self-dual solutions. Thirdly, we apply the curl transformation to this theory. An arbitrary solution is given by a vector tangent to a sphere whose radius is determined by the topological mass in transform space. Meanwhile a gauge transformation corresponds to a vector normal to this sphere. We discuss the quantization of topological mass on an example. | |
| dc.description | 31 pages, latex | |
| dc.identifier | https://arxiv.org/abs/0711.3893 | |
| dc.identifier | http://arxiv.org/abs/0711.3893 | |
| dc.identifier | Int.J.Mod.Phys.A23:2015-2035,2008 | |
| dc.identifier | doi:10.1142/S0217751X08039840 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/199729 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Topologically Massive Abelian Gauge Theory | |
| dc.type | text |