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Exact Thermodynamics of the Double sinh-Gordon Theory in 1+1-Dimensions

Avinash Khare·Salman Habib·Avadh Saxena
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Abstract

We study the classical thermodynamics of a 1+1-dimensional double-well sinh-Gordon theory. Remarkably, the Schrodinger-like equation resulting from the transfer integral method is quasi-exactly solvable at several temperatures. This allows exact calculation of the partition function and some correlation functions above and below the short-range order (``kink'') transition, in striking agreement with high resolution Langevin simulations. Interesting connections with the Landau-Ginzburg and double sine-Gordon models are also established.

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Avinash Khare, Salman Habib, Avadh Saxena. 1997-09-24. Exact Thermodynamics of the Double sinh-Gordon Theory in 1+1-Dimensions. https://doi.org/10.1103/physrevlett.79.3797

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