Quantum transfer-matrices for the sausage model

A bstract In this work we revisit the problem of the quantization of the two-dimensional O (3) non-linear sigma model and its one-parameter integrable deformation — the sausage model. Our consideration is based on the so-called ODE/IQFT correspondence, a variant of the Quantum Inverse Scattering Met...

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Bibliographic Details
Published in:The journal of high energy physics 2018-01, Vol.2018 (1), p.1-89, Article 21
Main Authors: Bazhanov, Vladimir V., Kotousov, Gleb A., Lukyanov, Sergei L.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Deformation
Eigenvalues
Elementary Particles
Field Theories in Lower Dimensions
High energy physics
Integrable Field Theories
Integral equations
Inverse scattering
Lattice Integrable Models
Nonlinear equations
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Sigma Models
String Theory
Two dimensional models
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Summary:A bstract In this work we revisit the problem of the quantization of the two-dimensional O (3) non-linear sigma model and its one-parameter integrable deformation — the sausage model. Our consideration is based on the so-called ODE/IQFT correspondence, a variant of the Quantum Inverse Scattering Method. The approach allowed us to explore the integrable structures underlying the quantum O (3)/sausage model. Among the obtained results is a system of non-linear integral equations for the computation of the vacuum eigenvalues of the quantum transfer-matrices.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP01(2018)021