TBA and tree expansion
High Energy Physics - Theory
2018-09-18 v2 Statistical Mechanics
Abstract
We propose an alternative, statistical, derivation of the Thermodynamic Bethe Ansatz based on the tree expansion of the Gaudin determinant. We illustrate the method on the simplest example of a theory with diagonal scattering and no bound states. We reproduce the expression for the free energy density and the finite size corrections to the energy of an excited state as well as the LeClair-Mussardo series for the one-point function for local operators.
Keywords
Cite
@article{arxiv.1805.02591,
title = {TBA and tree expansion},
author = {Ivan Kostov and Didina Serban and Dinh-Long Vu},
journal= {arXiv preprint arXiv:1805.02591},
year = {2018}
}
Comments
16 pages, 7 figures, based on the contribution of I.K. to the conference "Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics" (LT12), 19-25 June 2017, Varna. Note and references added in v2