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Exact Thermodynamics of the Double sinh-Gordon Theory in1+1Dimensions

1997/07/31 by Avinash Khare, Salman Habib, Avadh Saxena · 1 citation
Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #cond-mat.stat-mech #hep-lat #hep-ph #physics.comp-ph

paper · pdf · doi:10.1103/physrevlett.79.3797

published as Phys.Rev.Lett.79:3797-3801,1997 · 4 pages, 3 figures (embedded using epsf), uses RevTeX plus macro (included). Minor revision to match journal version, Phys. Rev. Lett. (in press)

arxiv created 1997/09/24 · openalex publication_date 1997/11/17 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study the classical thermodynamics of a (1+1)-dimensional double-well sinh-Gordon theory. Remarkably, the Schr"odinger-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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