Proofs of two conjectures related to the thermodynamic Bethe Ansatz

1995/09/12 by Craig A. Tracy, C. A. Tracy, Harold Widom +1 · 4 citations
Mathematics · Physics and Astronomy · #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics #hep-th #math-ph #math.MP #nlin.SI #solv-int

paper · pdf · doi:10.1007/bf02100102

published as Commun.Math.Phys. 179 (1996) 667-680 · 16 pages, LaTeX file, no figures. Revision has minor changes

arxiv created 1995/09/12 · openalex publication_date 1996/09/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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')]

Citations

• Fredholm determinants, differential equations and matrix models

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