Elementary functions in Thermodynamic Bethe Ansatz
Mathematical Physics
2015-05-20 v3 Statistical Mechanics
High Energy Physics - Theory
math.MP
Abstract
Some years ago, Fendley found an explicit solution to Thermodynamic Bethe Ansatz (TBA) equation for a N=2 supersymmetric theory in 2D with a specific F-term. Motivated by this, we seek for explicit solutions for other super-potential cases utilizing the idea from the ODE/IM correspondence. We find that TBA equations, corresponding to a wider class of super-potentials, admit solutions in terms of elementary functions such as modified Bessel functions and confluent hyper-geometric series.
Cite
@article{arxiv.1501.00773,
title = {Elementary functions in Thermodynamic Bethe Ansatz},
author = {Junji Suzuki},
journal= {arXiv preprint arXiv:1501.00773},
year = {2015}
}
Comments
Based on talks given at "Infinite Analysis 2014" (Tokyo, Feb. 2014) and at "Integrable lattice models and quantum field theories" (Bad-Honnef, June 2014), typos corrected