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There is a subtle difference in this expression compared to the finite temperature Minkowski space result in terms of (Formula presented) In Minkowski space the argument of the Bose-Einstein occupation factor is (Formula presented) 19
-
There is a subtle difference in this expression compared to the finite temperature Minkowski space result in terms of (Formula presented) In Minkowski space the argument of the Bose-Einstein occupation factor is (Formula presented) 19, which can be understood from the spectral representation of the self-energy in a perturbative expansion. The lowest-order correction corresponds to an an intermediate two-particle state; each particle carries half the energy of the external scalar leg. In de Sitter spacetime (as in any time-dependent background) there is no possibility of writing a spectral representation. The similarity between de Sitter and finite temperature field theory in Minkowski space is therefore not an equivalence.
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