Infrared stability of de Sitter QFT: Results at all orders
Infrared stability of de Sitter QFT: Results at all orders
复制标题
德西特 QFT 的红外稳定性：所有订单的结果
DOI：
10.1103/physrevd.84.044040
复制
发表时间：
2011
影响因子：
5
通讯作者：
I. Morrison
中科院分区：
文献类型：
--
作者：
D. Marolf;I. Morrison
我们证明，对于任何在固定德西特背景上相互作用的大质量标量理论，哈特尔-霍金真空在红外光谱中都具有良好的微扰定义和稳定性。这种状态下的相关函数可以在欧几里得截面上计算，并且威克旋转到洛伦兹签名。结果显然是德西特不变的，并且仅包含熟悉的 UV 奇点。更重要的是，所有洛伦兹签名相关器的连接部分在其参数的较大间隔处衰减。我们的结果适用于自由欧几里得真空被明确定义的所有情况，包括质量属于 的补级数和主级数的标量。这表明，德西特中的相互作用量子场论（包括更高的自旋场）至少在以下情况下是微扰红外稳定的：i) 零耦合理论的欧几里得真空存在，ii) 相应的洛伦兹签名零耦合相关器在大间隔处衰减。这项工作与同时发布的 Stefan Hollands 的一篇论文有很大的重叠。
We show that the Hartle-Hawking vacuum for any theory of interacting massive scalars on a fixed de Sitter background is both perturbatively well defined and stable in the IR. Correlation functions in this state may be computed on the Euclidean section and Wick rotated to Lorentz signature. The results are manifestly de Sitter-invariant and contain only the familiar UV singularities. More importantly, the connected parts of all Lorentz-signature correlators decay at large separations of their arguments. Our results apply to all cases in which the free Euclidean vacuum is well defined, including scalars with masses belonging to both the complementary and principal series of. This suggests that interacting Quantum Field Theories in de Sitter—including higher spin fields—are perturbatively IR stable at least when i) the Euclidean vacuum of the zero-coupling theory exists and ii) corresponding Lorentz-signature zero-coupling correlators decay at large separations. This work has significant overlap with a paper by Stefan Hollands, which is being released simultaneously.