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

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