Email this article On Dimensional Regularization in the Yang–Mills Theory
- Authors: Ivanov A.V.1
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Affiliations:
- St. Petersburg Department of Steklov Institute of Mathematics
- Issue: Vol 238, No 6 (2019)
- Pages: 862-869
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/242612
- DOI: https://doi.org/10.1007/s10958-019-04281-2
- ID: 242612
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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
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