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.
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页数：25
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