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It is well known that there should be a total cancellation of the IR divergences in unitary interacting field theory, such as QED and gravity. The cancellation should be at all orders between loop and tree-level contributions to cross sections. This is the crucial fact related to the unitarity of the evolution operator (S-matrix) of the underlying interacting field theory. In this paper we show that such a cancellation does not happen in de Sitter space.
Akhmedov et al. (Wed,) studied this question.
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