Quantum Field Theory on Curved Backgrounds. II. Spacetime Symmetries
| dc.creator | Jaffe, Arthur | |
| dc.creator | Ritter, Gordon | |
| dc.date | 2007-03-31 | |
| dc.date.accessioned | 2026-07-07T07:54:18Z | |
| dc.date.available | 2026-07-07T07:54:18Z | |
| dc.description | We study space-time symmetries in scalar quantum field theory (including interacting theories) on static space-times. We first consider Euclidean quantum field theory on a static Riemannian manifold, and show that the isometry group is generated by one-parameter subgroups which have either self-adjoint or unitary quantizations. We analytically continue the self-adjoint semigroups to one-parameter unitary groups, and thus construct a unitary representation of the isometry group of the associated Lorentzian manifold. The method is illustrated for the example of hyperbolic space, whose Lorentzian continuation is Anti-de Sitter space. | |
| dc.description | 18 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/0704.0052 | |
| dc.identifier | http://arxiv.org/abs/0704.0052 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126557 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Quantum Field Theory on Curved Backgrounds. II. Spacetime Symmetries | |
| dc.type | text |