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Communications in Mathematical Physics

, Volume 319, Issue 1, pp 1–68 | Cite as

Correlators, Feynman Diagrams, and Quantum No-hair in deSitter Spacetime

  • Stefan HollandsEmail author
Article

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.

Keywords

Feynman Diagram Operator Product Expansion Minkowski Spacetime Feynman Graph Feynman Integral 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.School of MathematicsCardiff UniversityCardiffUK

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