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On Dimensional Regularization in the Yang–Mills Theory

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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… Click to show full 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.

Keywords: mills theory; yang mills; regularization yang; dimensional regularization

Journal Title: Journal of Mathematical Sciences
Year Published: 2019

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