Quantum fields on timelike curves
| dc.creator | Keyl, Michael | |
| dc.date | 2000-12-12 | |
| dc.date.accessioned | 2026-07-07T04:28:11Z | |
| dc.date.available | 2026-07-07T04:28:11Z | |
| dc.description | A quantum field F(x) exists at an event x of space-time in general only as a quadratic form. Only after smearing with a smooth test function we get an operator. In this paper the question is considered whether it is possible as well to smear F(x) with a singular test function T (i.e. a test distribution) supported by a smooth timelike curve. It is shown that this is always possible if F(x) satisfies the micro local spectrum condition and T belongs to a special class of distributions which retain some regularity in timelike directions. In the free field case these results are used to define some kind of time-translation along the curve which generalizes global space-time translations of Minkowski space. | |
| dc.description | 56 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/0012024 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0012024 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56693 | |
| dc.subject | Mathematical Physics | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | 81T20, 81T05 (Primary) 58Jxx, 46L60 (Secondary) | |
| dc.title | Quantum fields on timelike curves | |
| dc.type | text |