| 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 |
Abstract
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: | Schools > Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Publisher: | Springer Verlag |
| ISSN: | 0010-3616 |
| Last Modified: | 10 Oct 2017 14:32 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/33918 |
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