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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2017 Volume 465, Pages 147–156 (Mi znsl6535)

This article is cited in 4 papers

About dimensional regularization in the Yang–Mills theory

A. V. Ivanov

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia

Abstract: In the work the asymptotic approach is proposed for the renormalization in the case of dimensional regularization. As an example, the quantum Yang–Mills theory in the four-dimensional space-time is considered. The formula for the renormalized effective action is derived by using the asymptotic behavior of the bare coupling constant. Then the dimensional transmutation, the process of renormalization and the properties of the coupling constant are discussed.

Key words and phrases: theory of Yang–Mills, renormalization, renormalization group, dimensional transmutation, dimensional regularization, effective action, Gell-Mann–Low equation, coupling constant.

UDC: 517.9

Received: 23.11.2017


 English version:
Journal of Mathematical Sciences (New York), 2019, 238:6, 862–869


© Steklov Math. Inst. of RAS, 2024