Particle propagators on discrete spacetime
| dc.creator | Johnston, Steven | |
| dc.date | 2008-06-19 | |
| dc.date | 2008-10-01 | |
| dc.date.accessioned | 2026-07-07T11:51:48Z | |
| dc.date.available | 2026-07-07T11:51:48Z | |
| dc.description | A quantum mechanical description of particle propagation on the discrete spacetime of a causal set is presented. The model involves a discrete path integral in which trajectories within the causal set are summed over to obtain a particle propagator. The sum-over-trajectories is achieved by a matrix geometric series. For causal sets generated by sprinkling points into 1+1 and 3+1 dimensional Minkowski spacetime the propagator calculated on the causal set is shown to agree, in a suitable sense, with the causal retarded propagator for the Klein-Gordon equation. The particle propagator described here is a step towards quantum field theory on causal set spacetime. | |
| dc.description | 14 pages, no figures. Minor updates to match published version | |
| dc.identifier | https://arxiv.org/abs/0806.3083 | |
| dc.identifier | http://arxiv.org/abs/0806.3083 | |
| dc.identifier | Class.Quant.Grav.25:202001,2008 | |
| dc.identifier | doi:10.1088/0264-9381/25/20/202001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/204021 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Particle propagators on discrete spacetime | |
| dc.type | text |