Quantum Field Theory on Certain Non-Globally Hyperbolic Spacetimes
| dc.creator | Fewster, C. J. | |
| dc.creator | Higuchi, A. | |
| dc.date | 1995-08-24 | |
| dc.date.accessioned | 2026-07-07T11:34:21Z | |
| dc.date.available | 2026-07-07T11:34:21Z | |
| dc.description | We study real linear scalar field theory on two simple non-globally hyperbolic spacetimes containing closed timelike curves within the framework proposed by Kay for algebraic quantum field theory on non-globally hyperbolic spacetimes. In this context, a spacetime (M,g) is said to be `F-quantum compatible' with a field theory if it admits a *-algebra of local observables for that theory which satisfies a locality condition known as `F-locality'. Kay's proposal is that, in formulating algebraic quantum field theory on $(M,g)$, F-locality should be imposed as a necessary condition on the *-algebra of observables. The spacetimes studied are the 2- and 4-dimensional spacelike cylinders (Minkowski space quotiented by a timelike translation). Kay has shown that the 4-dimensional spacelike cylinder is F-quantum compatible with massless fields. We prove that it is also F-quantum compatible with massive fields and prove the F-quantum compatibility of the 2-dimensional spacelike cylinder with both massive and massless fields. In each case, F-quantum compatibility is proved by constructing a suitable F-local algebra. | |
| dc.description | 14 pages, latex, one figure (incorporated in latex source) | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9508051 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9508051 | |
| dc.identifier | Class.Quant.Grav.13:51-62,1996 | |
| dc.identifier | doi:10.1088/0264-9381/13/1/006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/198219 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Quantum Field Theory on Certain Non-Globally Hyperbolic Spacetimes | |
| dc.type | text |