Analyticity properties and thermal effects for general quantum field theory on de Sitter space-time

Jacques Bros, Henri Epstein, Ugo Moschella
January 29, 1998
We propose a general framework for quantum field theory on the de Sitter space-time (i.e. for local field theories whose truncated Wightman functions are not required to vanish). By requiring that the fields satisfy a weak spectral condition, formulated in terms of the analytic continuation properties of their Wightman functions, we show that a geodesical observer will detect in the corresponding ``vacuum'' a blackbody radiation at temperature $T=1/(2 \pi R)$. We also prove the analogues of the PCT, Reeh-Schlieder and Bisognano-Wichmann theorems.
open access link Commun.Math.Phys. 196 (1998) 535-570
@article{Bros:1998ik, author = "Bros, Jacques and Epstein, Henri and Moschella, Ugo", title = "{Analyticity properties and thermal effects for general quantum field theory on de Sitter space-time}", journal = "Commun. Math. Phys.", volume = "196", year = "1998", pages = "535-570", doi = "10.1007/s002200050435", eprint = "gr-qc/9801099", archivePrefix = "arXiv", primaryClass = "gr-qc", reportNumber = "IHES-P-97-52A", SLACcitation = "%%CITATION = GR-QC/9801099;%%" }

Keywords: 
Reeh-Schlieder property, Bisognano Wichmann theorem, QFT on curved spacetimes, de Sitter spacetime