de Sitter 时空上规范无关标量自质量的普适外部腿长期修正
Universal Secular External Leg Corrections for Gauge Independent Scalar Self-Mass on de Sitter
- CEICO, FZU — Institute of Physics of the Czech Academy of Sciences（捷克科学院物理研究所）
- Department of Physics, National Cheng Kung University（国立成功大学物理系）
- ITP, EMMEPH and Spinoza Institute, Utrecht University（乌得勒支大学）
- Department of Physics, University of Florida（佛罗里达大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文提出在 de Sitter 背景上通过组合图并添加外部腿修正，消除引力子对无质量标量自质量修正中的局域长期规范依赖性，从而获得 1 圈阶完全规范无关的有效场方程。
AI中文摘要：
本研究关注一种从引力子对无质量、最小耦合标量在 de Sitter 背景上的有效场方程的修正中去除规范依赖性的方法。该方法涉及以与两个大质量粒子之间无质量标量的 t 通道交换散射振幅相同的方式组合图，但 {\it 不} 采取在宇宙学中存在问题的渐近极限。在平空间背景上实施此方法至 1 圈阶需要五类图，加上朴素的交换图，这些图的组合确实消除了对引力子规范固定泛函的依赖性。当这些相同的图推广到 de Sitter 背景时，它们的组合抵消了最重要的（“非局域”）长期规范依赖性，但留下了与外部腿相关的（“局域”）长期规范依赖性。局域长期规范依赖性可以通过添加另外两类图并对外部波函数进行长期修正来消除。本文的目的是在 de Sitter 背景上包含这些额外修正，以在 1 圈阶推导出完全规范无关的有效场方程。
英文摘要：
This work concerns a procedure for removing gauge dependence from graviton corrections to the effective field equations for a massless, minimally coupled scalar on de Sitter background. The procedure involves combining diagrams in the same way as the scattering amplitude for the $t$-channel exchange of the massless scalar between two massive particles, but {\it without} taking the asymptotic limits which are problematic in cosmology. Implementing this at 1-loop on flat space background requires five classes of diagrams, in addition to the naive exchange, and the combination of those diagrams does eliminate dependence on the graviton gauge fixing functional. When those same diagrams are generalized to de Sitter background, their combination cancels the most important (``nonlocal'') secular gauge dependence, but it leaves (``local'') secular gauge dependence that is associated with external legs. Local secular gauge dependence can be removed by adding two additional classes of diagrams, and making secular corrections to the external wavefunctions. The purpose of this paper is to include these additional corrections on de Sitter background in order to derive fully gauge independent effective field equations at 1-loop order.
