Adiabatic Hadamard States for Dirac Quantum Fields on Curved Space
| dc.creator | Hollands, S. | |
| dc.date | 1999-01-25 | |
| dc.date.accessioned | 2026-07-07T03:32:55Z | |
| dc.date.available | 2026-07-07T03:32:55Z | |
| dc.description | In this paper we propose a definition of quasifree Hadamard states for spinor fields on a curved space-time by specifying the Polarisation Set of the two-point function. We prove that the thermal equilibrium state on an ultrastatic space-time is Hadamard. We then construct an adiabatic vacuum state on a general globally hyperbolic Lorentz manifold using a factorisation of the spinorial Klein-Gordon operator. This state is pure. In what constitutes the main part of the paper, we show that it is also Hadamard. As a side result, we obtain the propagation of singularities of the spinorial Klein-Gordon operator. Some notation and results are collected in the Appendix. | |
| dc.description | 20 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9901069 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9901069 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/36420 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Adiabatic Hadamard States for Dirac Quantum Fields on Curved Space | |
| dc.type | text |