论文标题

单环的重力校正,以在DE Sitter背景上进行保形标量

One-loop Graviton Corrections to Conformal Scalars on a de Sitter Background

论文作者

Glavan, D., Miao, S. P., Prokopec, T., Woodard, R. P.

论文摘要

我们将一个重力循环校正的最新计算对自质量[1]进行了计算,以量化场方程,以在de Sitter背景上进行无质量的,共同耦合的标量。对于$ r^2 ϕ^2 $ counterterm的有限部分的明显选择,我们发现平面波模式既没有功能,也没有对点源的响应获得大型红外对数。但是,我们确实找到了对模式函数的衰减对数校正,除了从平面空间继承的幂律效应外,电势的短距离对数运行。

We exploit a recent computation of one graviton loop corrections to the self-mass [1] to quantum-correct the field equation for a massless, conformally coupled scalar on a de Sitter background. With the obvious choice for the finite part of the $R^2 ϕ^2$ counterterm, we find that neither plane wave mode functions nor the response to a point source acquires large infrared logarithms. However, we do find a decaying logarithmic correction to the mode function and a short distance logarithmic running of the potential in addition to the power-law effect inherited from flat space.

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