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

TL;DR

This paper develops a general framework for quantum field theory on de Sitter space-time, demonstrating that observers detect thermal radiation and establishing key theorems in this setting.

Contribution

It introduces a weak spectral condition based on analytic continuation, extending quantum field theory to more general local fields on de Sitter space.

Findings

Observers detect blackbody radiation at temperature T=1/(2πR)

Proves analogues of PCT, Reeh-Schlieder, and Bisognano-Wichmann theorems in this framework

Framework accommodates non-vanishing truncated Wightman functions

Abstract

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.