论文标题
重新归一化组启发了自主方程,以实现DE Sitter空间中的世俗效应
Renormalization group inspired autonomous equations for secular effects in de Sitter space
论文作者
论文摘要
我们开发了一种处理从量子扰动计算获得的一系列世俗增长的术语的方法:构建自主的一阶微分方程,使它们将该系列重现为给定的顺序。这些方程式的确切解决方案不含世俗项,并在后期达到有限的限制。说明了这项技术是针对无质量标量场的世俗增长与位于安慰剂空间中四分性自我相互作用的相关函数的众所周知的问题。对于在一致的时空点上两个字段的产品的期望值,我们获得了有限的延迟结果,该结果与Starobinsky随机方法的关注非常接近。
We develop a method for treating a series of secularly growing terms obtained from quantum perturbative calculations: autonomous first-order differential equations are constructed such that they reproduce this series to the given order. The exact solutions of these equations are free of secular terms and approach a finite limit at late times. This technique is illustrated for the well-known problem of secular growth of correlation functions of a massless scalar field with a quartic self-interaction in de Sitter space. For the expectation value of the product of two fields at coinciding space-time points we obtain a finite late-time result that is very close to the one following from Starobinsky's stochastic approach.