Proofs of two conjectures related to the thermodynamic Bethe Ansatz |
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| Authors: | C A Tracy H Widom |
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| Institution: | 1. Department of Mathematics and Institute of Theoretical Dynamics, University of California, 95616, Davis, CA, USA
2. Department of Mathematics, University of California, 95064, Santa Cruz, CA, USA
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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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