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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Bibliographic Details
Published in:	The European physical journal. C, Particles and fields Vol. 83; no. 7; pp. 653 - 8
Main Authors:	Akacevich, P. V., Ivanov, A. V.
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01-07-2023 Springer Springer Nature B.V SpringerOpen
Subjects:	Algebra Astronomy Astrophysics and Cosmology Elementary Particles Field theory Hadrons Heavy Ions Integrals Measurement Science and Instrumentation Nuclear Energy Nuclear Physics Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum theory Regular Article - Theoretical Physics Regularization String Theory Two dimensional models
Online Access:	Get full text
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Summary:	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