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

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

1998-01-29

arxiv.org/abs/gr-qc/9801099v1

Commun.Math.Phys. 196 (1998) 535-570

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

32 pages, Latex. To appear on Commun. Math. Phys

Scientific paper

10.1007/s002200050435

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.

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