A nonlinear integral equation with an imaginary twist parameter describes sine-Gordon thermodynamics with a topological chemical potential at arbitrary coupling and matches TBA.
Bethe-ansatz quantum sine-Gordon thermodynamics. The specific heat,
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Thermodynamics in the Sine-Gordon model: the NLIE approach
A nonlinear integral equation with an imaginary twist parameter describes sine-Gordon thermodynamics with a topological chemical potential at arbitrary coupling and matches TBA.