On the local structure of the representation of a local gauge group
| dc.creator | Ando, Hiroshi | |
| dc.date | 2009-04-14 | |
| dc.date.accessioned | 2026-07-07T13:04:09Z | |
| dc.date.available | 2026-07-07T13:04:09Z | |
| dc.description | This paper clarifies the local structure of the energy representation of a local gauge group. The group to be considered is a smooth map from a manifold into a compact Lie group. It acts on a Boson Fock spaces generated by connection 1-forms on the manifold. The irreduciblity depends on the dimensionality of a manifold. However, we showed that even if the representation is reducible(for example, dim=1 case) the commutant is very small. The discussion is based on the support property of the function, which is analogous to the algebraic Quantum Field Theory. | |
| dc.description | 19pages | |
| dc.identifier | https://arxiv.org/abs/0904.2222 | |
| dc.identifier | http://arxiv.org/abs/0904.2222 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227059 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 06B15; 06B05 | |
| dc.title | On the local structure of the representation of a local gauge group | |
| dc.type | text |