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Proofs of two conjectures related to the thermodynamic Bethe Ansatz

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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

$$\frac{{e^{ - (u(\theta ) + u(\theta \prime ))} }}{{\cosh ^{\frac{{\theta - \theta \prime }}{2}} }}$$

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Authors and Affiliations

  1. Department of Mathematics and Institute of Theoretical Dynamics, University of California, 95616, Davis, CA, USA

    C. A. Tracy

  2. Department of Mathematics, University of California, 95064, Santa Cruz, CA, USA

    H. Widom

Authors
  1. C. A. Tracy
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  2. H. Widom
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Communicated by M. Jimbo

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Tracy, C.A., Widom, H. Proofs of two conjectures related to the thermodynamic Bethe Ansatz. Commun.Math. Phys. 179, 667–680 (1996). https://doi.org/10.1007/BF02100102

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  • DOI: https://doi.org/10.1007/BF02100102

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