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
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.