Quantum transfer-matrices for the sausage model
High Energy Physics - Theory
2018-02-14 v4 Statistical Mechanics
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1706.09941,
title = {Quantum transfer-matrices for the sausage model},
author = {Vladimir V. Bazhanov and Gleb A. Kotousov and Sergei L. Lukyanov},
journal= {arXiv preprint arXiv:1706.09941},
year = {2018}
}
Comments
89 pages, 10 figures, v2: misprints corrected, some comments added, v3, v4: minor corrections, references added