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Phys. Rev. Lett. 79, 3797 - 3801 (1997)

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

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Avinash Khare1, Salman Habib2, and Avadh Saxena3
1Institute of Physics, Sachivalaya Marg, Bhubaneswar 751 005, India
2T-8, MS B285, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545
3T-11, MS B262, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

Received 9 June 1997

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


©1997 The American Physical Society

URL: http://link.aps.org/abstract/PRL/v79/p3797
DOI: 10.1103/PhysRevLett.79.3797
PACS: 03.40.Kf, 05.20.-y, 05.70.-a, 64.60.Cn

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