https://doi.org/10.1140/epjp/s13360-024-05648-4
Regular Article
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
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 in Saint Petersburg, 10 Pesochnaya nab., 197022, St. Petersburg, Russia
Received:
22
April
2024
Accepted:
10
September
2024
Published online:
24
September
2024
The paper studies the quantum action for the five-dimensional real 
-theory in the case of a general formulation using the background field method. The three-loop renormalization is performed with the usage of a cutoff regularization in the coordinate representation. The explicit forms of the first three coefficients for the renormalization constants are presented. The absence of non-local singular contributions and partial results for the fourth correction are discussed.
To the 90-th anniversary of L.D.Faddeev.
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