标题： ζ在单钟 inflation 所有环中的常数性 显示英文标题

标题： The constancy of ζin single-clock Inflation at all loops

摘要： 研究暴胀扰动的环修正，特别是对红外因子的关注，对于理解暴胀理论的一致性、预测能力和确立慢滚永恒暴胀现象及其最近发现的体积界限是重要的。 在本文中，我们表明，在单时钟暴胀中，所有环层次下，\zeta -关联函数在大距离处是时间无关的。 我们将\dot \zeta 的n阶关联函数写成格林函数与局部源的关联函数的时间积分，这些局部源是低阶扰动的函数。 格林函数的特性是，只有在晚期时间非零的源的关联函数才能导致长距离下\dot \zeta 的非零关联函数。 当源通过高波数模式连接时，关联函数在短距离处具有峰值，这些图不能通过简单的扩散不变性论证导致时间依赖性。 当源通过长波数模式连接时，一旦建立了低阶下\zeta 的常数值，就可以使用类似的论证。 因此，给定阶数下 \zeta 的守恒性来自于低阶下 \zeta 的守恒性。 由于在树图层次 \zeta 是常数，这通过归纳法说明其在所有环路中都是常数。 显示英文摘要

摘要： Studying loop corrections to inflationary perturbations, with particular emphasis on infrared factors, is important to understand the consistency of the inflationary theory, its predictivity and to establish the existence of the slow-roll eternal inflation phenomena and its recently found volume bound. In this paper we show that \zeta-correlators are time-independent at large distances at all-loop level in single clock inflation. We write the n-th order correlators of \dot\zeta\ as the time-integral of Green's functions times the correlators of local sources that are function of the lower order fluctuations. The Green's functions are such that only non-vanishing correlators of the sources at late times can lead to non-vanishing correlators for \dot\zeta\ at long distances. When the sources are connected by high wavenumber modes, the correlator is peaked at short distances, and these diagrams cannot lead to a time-dependence by simple diff. invariance arguments. When the sources are connected by long wavenumber modes one can use similar arguments once the constancy of \zeta\ at lower orders was established. Therefore the conservation of \zeta\ at a given order follows from the conservation of \zeta\ at the lower orders. Since at tree-level \zeta\ is constant, this implies constancy at all-loops by induction.