Proofs of Two Conjectures Related to the Thermodynamic Bethe Ansatz
solv-int
2009-07-11 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We prove that the solution to a pair of nonlinear integral equations arising in the thermodynamic Bethe Ansatz can be expressed in terms of the resolvent kernel of the linear integral operator with kernel exp(-u(theta)-u(theta'))/cosh[(1/2)(theta-theta')]
Keywords
Cite
@article{arxiv.solv-int/9509003,
title = {Proofs of Two Conjectures Related to the Thermodynamic Bethe Ansatz},
author = {Craig A. Tracy and Harold Widom},
journal= {arXiv preprint arXiv:solv-int/9509003},
year = {2009}
}
Comments
16 pages, LaTeX file, no figures. Revision has minor changes