Low-$T$ asymptotic expansion of the solution to the Yang-Yang equation
Mathematical Physics
2015-05-01 v3 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
We prove that the unique solution to the Yang-Yang equation arising in the context of the thermodynamics of the so-called non-linear Schr\"{o}dinger model admits a low-temperature expansion to all orders. Our approach provides a rigorous justification, for a certain class of non-linear integral equations, of the low-temperature asymptotic expansion that were argued previously in various works related to the low-temperature behavior of integrable models.
Keywords
Cite
@article{arxiv.1112.6199,
title = {Low-$T$ asymptotic expansion of the solution to the Yang-Yang equation},
author = {K. K. Kozlowski},
journal= {arXiv preprint arXiv:1112.6199},
year = {2015}
}
Comments
16 pages, V2, few misprints corrected, V3 missprints corrected