Two-loop cutoff renormalization of 4-D Yang-Mills effective action

被引：9

作者：

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

Kharuk, N., V ^{[1
,2
,3
]}

机构：

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

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

[3] ITMO Univ, St Petersburg 197101, Russia

来源：

JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS | 2020年 / 48卷 / 01期

关键词：

effective action; cutoff regularization; Yang– Mills theory; coupling constant; Gell-Mann– Low equation; renormalization; beta-function; BETA-FUNCTION; QUANTUM-THEORY; REGULARIZATION; APPROXIMATION; DIAGRAMS; GRAVITY;

D O I：

10.1088/1361-6471/abb939

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

In the paper we study the Yang-Mills effective action in the four-dimensional spacetime by using background field formalism. We give an explicit way of cutoff regularization procedure, then do a two-loop renormalization and calculate a second beta-function coefficient. We also show that the two-loop singularity contains only logarithmic part in the first degree. At the same time additional properties of a Green function regular part are obtained.

引用

页数：25

共 37 条

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