论文标题
De Sitter空间中的动力RG和关键现象
Dynamical RG and Critical Phenomena in de Sitter Space
论文作者
论文摘要
众所周知，de Sitter空间中的扰动量子场理论会产生随时间分歧（世俗术语）的各种贡献。尽管取得了重大进展，但对这些差异的身体起源的完全理解仍然是一个重大的问题。在本文中，我们将研究De Sitter空间中的世俗差异的起源，用于相互作用的理论，这些理论几乎具有吸引人的共形固定点。我们表明，世俗的差异是由平坦空间中同一理论的异常维度决定的，并且可以使用动态重归于的组重新点燃。这种行为在保形固定点上是强制性的，但我们表明它也远离固定点。我们通常使用共形扰动理论分析了这个问题，并在四个和$ 4-ε$尺寸中进行了共耦合标量字段作为示例。
Perturbative quantum field theory in de Sitter space is known to give rise to a variety of contributions that diverge with time (secular terms). Despite significant progress, a complete understanding of the physical origin of these divergences remains an outstanding problem. In this paper, we will study the origin of secular divergences in de Sitter space for interacting theories that are near attractive conformal fixed points. We show that the secular divergences are determined by the anomalous dimensions of the same theory in flat space and can be re-summed using the dynamical renormalization group. This behavior is mandatory at the conformal fixed point but we show that it holds away from the fixed point as well. We analyze this problem in general using conformal perturbation theory and study conformally coupled scalar fields in four and $4-ε$ dimensions as examples.
