ANALYTICITY PROPERTIES AND THERMAL EFFECTS FOR GENERAL QUANTUM-FIELD THEORY ON DESITTER SPACE-TIME

Citation
J. Bros et al., ANALYTICITY PROPERTIES AND THERMAL EFFECTS FOR GENERAL QUANTUM-FIELD THEORY ON DESITTER SPACE-TIME, Communications in Mathematical Physics, 196(3), 1998, pp. 535-570
Citations number
41
Categorie Soggetti
Physycs, Mathematical","Physycs, Mathematical
ISSN journal
00103616
Volume
196
Issue
3
Year of publication
1998
Pages
535 - 570
Database
ISI
SICI code
0010-3616(1998)196:3<535:APATEF>2.0.ZU;2-D
Abstract
We propose a general framework for quantum field theory on the de Sitt er space-time (i.e. for local field theories whose truncated Wightman functions are not required to vanish). By requiring that the fields sa tisfy a weak spectral condition, formulated in terms of the analytic c ontinuation properties of their Wightman functions, we show that a geo desical observer will detect in the corresponding ''vacuum'' a blackbo dy radiation at temperature T = 1/2 pi R. We also prove the analogues of the PCT, Reeh-Schlieder and Bisognano-Wichmann theorems.