On two-loop effective action of 2d sigma model

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 o...

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Veröffentlicht in:The European physical journal. C, Particles and fields Particles and fields, 2023-07, Vol.83 (7), p.653-8, Article 653
Hauptverfasser: Akacevich, P. V., Ivanov, A. V.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1434-6052
1434-6044
1434-6052
DOI:10.1140/epjc/s10052-023-11797-0