Abstract

We review and present full details of the Feynman diagram based and the heat-kernel method based calculations of the simplest nonlocal form factors in the one-loop contributions of a massive scalar field. The paper has pedagogical and introductory purposes and is intended to help the reader in better understanding the existing literature on the subject. The functional calculations are based on the solution by Avramidi and Barvinsky and Vilkovisky for the heat kernel and are performed in curved space-time. One of the important points is that the main structure of nonlocalities is the same as in the flat background.

中文翻译：

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一环有效行动：非本地形状因素和重归一化组

摘要

我们回顾并提出基于Feynman图和基于热核方法的计算的详细信息，该计算基于大规模标量场的单环贡献中最简单的非局部形状因子。本文具有教学和介绍性的目的，旨在帮助读者更好地理解有关该主题的现有文献。功能计算基于Avramidi，Barvinsky和Vilkovisky针对热核的解决方案，并在弯曲的时空中进行。重要的要点之一是非局部性的主要结构与平坦背景中的相同。