A. V. Ivanov, N. V. Kharuk, “Three-loop divergences in effective action of $4$-dimensional Yang–Mills theory with cutoff regularization: $\Gamma_4^2$-contribution”, Zap. Nauchn. Sem. POMI, 2023, Volume 520,Pages 162

Three-loop divergences in effective action of $4$-dimensional Yang–Mills theory with cutoff regularization: $\Gamma_4^2$-contribution

A. V. Ivanov^ab, N. V. Kharuk^ab

^a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
^b Euler International Mathematical Institute, St. Petersburg

Abstract: In the paper, we study three-loop divergences in the effective action of the four-dimensional Yang–Mills theory from the $\Gamma_4^2$-contribution. As the regularization we use a cutoff (deformation of the Green's function) in the coordinate representation.

Key words and phrases: Yang–Mills theory, effective action, cutoff regularization, heat kernel, Seeley–DeWitt coefficients.

UDC: 517

Received: 29.05.2023