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

Jacques Bros·Henri Epstein·Ugo Moschella
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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 πR). We also prove the analogues of the PCT, Reeh-Schlieder and Bisognano-Wichmann theorems.

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Jacques Bros, Henri Epstein, Ugo Moschella. 1998-01-29. Analyticity properties and thermal effects for general quantum field theory on de Sitter space-time. https://doi.org/10.1007/s002200050435

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