Airy functions in the thermodynamic Bethe ansatz

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dc.creatorFendley, Paul
dc.date1999-06-15
dc.date.accessioned2026-07-07T04:26:37Z
dc.date.available2026-07-07T04:26:37Z
dc.descriptionThermodynamic Bethe ansatz equations are coupled non-linear integral equations which appear frequently when solving integrable models. Those associated with models with N=2 supersymmetry can be related to differential equations, among them Painleve III and the Toda hierarchy. In the simplest such case the massless limit of these non-linear integral equations can be solved in terms of the Airy function. This is the only known closed-form solution of thermodynamic Bethe ansatz equations, outside of free or classical models. This turns out to give the spectral determinant of the Schrodinger equation in a linear potential.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9906114
dc.identifierhttp://arxiv.org/abs/hep-th/9906114
dc.identifierLett.Math.Phys. 49 (1999) 229-233
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56114
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleAiry functions in the thermodynamic Bethe ansatz
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