Ordered exponential and its features in Yang-Mills effective action

被引：1

作者：

Ivanov, A., V ^{[1
,2
]}

Kharuk, N., V ^{[1
,2
]}

机构：

[1] Russian Acad Sci, St Petersburg Dept, Steklov Math Inst, 27 Fontanka, St Petersburg 191023, Russia

[2] Leonhard Euler Int Math Inst, 10 Pesochnaya nab, St Petersburg 197022, Russia

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2023年 / 75卷 / 08期

关键词：

Yanga euro "Mills effective action; ordered exponential; heat kernel; Green's function; short-distance asymptotics; cutoff regularization; Synge's world function; HEAT KERNEL; QUANTUM-THEORY; GAUGE; GRAVITY; SPACE;

D O I：

10.1088/1572-9494/acde4e

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we discuss some non-trivial relations for ordered exponentials on smooth Riemannian manifolds. As an example of application, we study the dependence of the four-dimensional quantum Yang-Mills effective action on the special gauge transformation with respect to the background field. Also, we formulate some open questions about a structure of divergences for a special type of regularization in the presence of the background field formalism.

引用

页数：9