Quantum transfer-matrices for the sausage model

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


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.


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


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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