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Quantum transfer-matrices for the sausage model

  • Vladimir V. Bazhanov
  • Gleb A. Kotousov
  • Sergei L. Lukyanov
Open Access
Regular Article - Theoretical Physics

Abstract

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.

Keywords

Field Theories in Lower Dimensions Integrable Field Theories Lattice Integrable Models Sigma Models 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  • Vladimir V. Bazhanov
    • 1
  • Gleb A. Kotousov
    • 1
    • 2
  • Sergei L. Lukyanov
    • 2
    • 3
  1. 1.Department of Theoretical Physics, Research School of Physics and EngineeringAustralian National UniversityCanberraAustralia
  2. 2.NHETC, Department of Physics and AstronomyRutgers UniversityPiscatawayU.S.A.
  3. 3.L.D. Landau Institute for Theoretical PhysicsChernogolovkaRussia

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