On Dimensional Regularization in the Yang–Mills Theory

被引：0
|
作者：
Ivanov A.V. [1 ]
机构：
[1] St. Petersburg Department of Steklov Institute of Mathematics, St. Petersburg
来源：
Journal of Mathematical Sciences | 2019年 / 238卷 / 6期
基金：
俄罗斯基础研究基金会;
关键词：
D O I：
10.1007/s10958-019-04281-2
中图分类号：
学科分类号：
摘要：
We suggest an asymptotic approach to renormalization in the case of dimensional regularization. As an example, the quantum Yang–Mills theory in the four-dimensional space-time is considered. A formula for the renormalized effective action is derived by using the asymptotic behavior of the bare coupling constant. Then we discuss the dimensional transmutation, the process of renormalization, and the properties of the coupling constant. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：862 / 869
页数：7
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