Two-Loop Cutoff Renormalization of 4-D Yang-Mills Effective Action

Abstract

In the paper we study the Yang-Mills effective action in the four-dimensional space-time by using background field formalism. We give an explicit way of cutoff regularization procedure, then do a two-loop renormalization and calculate a second $\beta$-function coefficient. We also show that the two-loop singularity contains only logarithmic part in the first degree. At the same time additional properties of a Green function regular part are obtained.

LaTeX, 25 pages, 1 figure

References in corpus (4)

• The five-loop beta function of Yang-Mills theory with fermions
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• How to preserve symmetries with cut-off regularized integrals?
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• Ordered Exponential and Its Features in Yang-Mills Effective Action
• Three-loop renormalization of the quantum action for a five-dimensional scalar cubic model with the usage of the background field method and a cutoff regularization
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