On Dimensional Regularization in the Yang–Mills Theory


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

Abstract

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.

About the authors

A. V. Ivanov

St. Petersburg Department of Steklov Institute of Mathematics

Author for correspondence.
Email: regul1@mail.ru
Russian Federation, St. Petersburg

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2019 Springer Science+Business Media, LLC, part of Springer Nature