deSitter时空中的关联函数、费曼图和量子无毛
Correlators, Feynman diagrams, and quantum no-hair in deSitter spacetime
摘要：
我们提供了一个参数表示的位置空间费曼积分的一个大规模的，自相互作用的标量场在deSitter时空，为任意图形。该表达式是在一个核上的重围道积分，其结构由图中所有树（或森林）的集合决定，它属于一类广义超几何函数。我们认为，从这个表示，连接deSitter $n$点真空关联函数有指数衰减大适当的时间间隔，也衰减大空间分离，在微扰论中的任意订单。我们的结果可以看作是在量子化测试标量场的背景下的所谓宇宙无毛定理的模拟。这项工作与Marolf和Morrison的一篇论文有很大的重叠，该论文同时发布。
英文摘要：
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.
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