Proofs of Two Conjectures Related to the Thermodynamic Bethe Ansatz

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, LaTeX file, no figures. Revision has minor changes

Scientific paper

10.1007/BF02100102

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')]

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