A nonlinear integral equation with an imaginary twist parameter describes sine-Gordon thermodynamics with a topological chemical potential at arbitrary coupling and matches TBA.
Unified approach to thermodynamic Bethe Ansatz and finite size corrections for lattice models and field theories,
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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.