Formula for two-loop divergent part of 4-D Yang-Mills effective action

Abstract

In the paper, we study the two-loop contribution to the effective action of the four-dimensional quantum Yang-Mills theory. We derive a new formula for the contribution in terms of three functions, formed from the Green's function expansion near the diagonal. This result can be applied to different types of regularization. Therefore, we test it by using the dimensional regularization and cutoff ones and show the consistence with the results, obtained in other works.

arXiv commentLaTeX, 23 pages, 10 figures

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• Special Functions for Heat Kernel Expansion
• Three-loop renormalization of the quantum action for a four-dimensional scalar model with quartic interaction with the usage of the background field method and a cutoff regularization
• Explicit Cutoff Regularization in Coordinate Representation
• On Two-Loop Effective Action of 2D Sigma Model
• Effective actions, cutoff regularization, quasi-locality, and gluing of partition functions
• On a criterion for a cutoff regularization in the coordinate representation
• 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