https://doi.org/10.1140/epjc/s10052-023-11797-0
Regular Article - Theoretical Physics
On two-loop effective action of 2d sigma model
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:
14
April
2023
Accepted:
1
July
2023
Published online:
24
July
2023
In this paper, we study two-loop contribution to the effective action of a two-dimensional non-linear sigma model. We derive a new formula, which can be applicable to a regularization of general type. As examples, we obtain known results for the dimensional regularization and investigate new types of a cutoff one. Also, we discuss non-local contributions and restrictions on the regularization.
© The Author(s) 2023
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