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Correlators, Feynman diagrams, and quantum no-hair in deSitter spacetime

Hollands, Stefan 2013. Correlators, Feynman diagrams, and quantum no-hair in deSitter spacetime. Communications in Mathematical Physics 319 (1) , pp. 1-68. 10.1007/s00220-012-1653-2

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We provide a parametric representation for position-space Feynman integrals of a massive, self-interacting scalar field in deSitter spacetime, for an arbitrary graph. The expression is given as a multiple contour integral over a kernel whose structure is determined by the set of all trees (or forests) within the graph, and it belongs to a class of generalized hypergeometric functions. We argue from this representation that connected deSitter $n$-point vacuum correlation functions have exponential decay for large proper time-separation, and also decay for large spatial separation, to arbitrary orders in perturbation theory. Our results may be viewed as an analog of the so-called cosmic-no-hair theorem in the context of a quantized test scalar field. This work has significant overlap with a paper by Marolf and Morrison, which is being released simultaneously.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: Springer Verlag
ISSN: 0010-3616
Last Modified: 10 Oct 2017 14:32

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