https://doi.org/10.1140/epjc/s10052-022-10921-w
Regular Article - Theoretical Physics
Formula for two-loop divergent part of 4-D Yang–Mills effective action
1
St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, 27 Fontanka, 191023, St. Petersburg, Russia
2
Leonhard Euler International Mathematical Institute, 10 Pesochnaya nab., 197022, St. Petersburg, Russia
Received:
21
August
2022
Accepted:
13
October
2022
Published online:
7
November
2022
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.
© The Author(s) 2022
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