Y-System and Deformed Thermodynamic Bethe Ansatz
Classical Analysis and ODEs
2010-10-29 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We introduce a new tool, the Deformed TBA (Deformed Thermodynamic Bethe Ansatz), to analyze the monodromy problem of the cubic oscillator. The Deformed TBA is a system of five coupled nonlinear integral equations, which in a particular case reduces to the Zamolodchikov TBA equation for the 3-state Potts model. Our method generalizes the Dorey-Tateo analysis of the (monomial) cubic oscillator. We introduce a Y-system corresponding to the Deformed TBA and give it an elegant geometric interpretation.
Cite
@article{arxiv.1005.1046,
title = {Y-System and Deformed Thermodynamic Bethe Ansatz},
author = {Davide Masoero},
journal= {arXiv preprint arXiv:1005.1046},
year = {2010}
}
Comments
12 pages. Minor corrections in Section 3