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

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