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

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arxiv gr-qc/9801099 v1 pith:RK3WYZNF submitted 1998-01-29 gr-qc hep-th

classification gr-qchep-th
keywords fieldfunctionsgeneralpropertiesquantumsitterspace-timetheory
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Relating the modular Hamiltonian to two-point functions

    math-ph 2025-01 conditional novelty 5.0 of 10

    For free scalar fields in any Gaussian state, the modular Hamiltonian restricted to a region is determined by the equal-time two-point functions X and Π via M=Π^{1/2}B^{-1}arcoth(2B)Π^{1/2}, N=Π^{-1/2}B arcoth(2B)Π^{-...

  2. De Sitter Representations

    hep-th 2026-06 unverdicted

    Review of so(1,D) representations for de Sitter space across all D, covering mixed symmetry and fermions, connected to propagating fields.

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