RG flows of integrable σ-models and the twist function

RG flows of integrable σ-models and the twist function

Abstract In the study of integrable non-linear σ-models which are assemblies and/or deformations of principal chiral models and/or WZW models, a rational function called the twist function plays a central rôle. For a large class of such models, we show that they are one-loop renormalizable, and that...

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Bibliographic Details
Main Authors: François Delduc, Sylvain Lacroix, Konstantinos Sfetsos, Konstantinos Siampos
Format: Article
Language:English
Published: SpringerOpen 2021-02-01
Series:Journal of High Energy Physics
Subjects:
Conformal Field Models in String Theory
Integrable Field Theories
Renormalization Group
Sigma Models
Online Access:https://doi.org/10.1007/JHEP02(2021)065
Description
Summary:Abstract In the study of integrable non-linear σ-models which are assemblies and/or deformations of principal chiral models and/or WZW models, a rational function called the twist function plays a central rôle. For a large class of such models, we show that they are one-loop renormalizable, and that the renormalization group flow equations can be written directly in terms of the twist function in a remarkably simple way. The resulting equation appears to have a universal character when the integrable model is characterized by a twist function.
ISSN:1029-8479

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