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Communications in Theoretical Physics

Variational Study of the Discrete sine-Gordon Model

Guo-Hui Ding, Bo-Wei Xu, Yumei Zhang

Published Feb 14, 1996• 0 citations
Publisher

Abstract

By using the Gaussian wave functional method, the -dimensional discrete sine-Gordon model is studied. The ground state energy and the one-particle states and the two-particle bound state are calculated.
DOI
10.1088/0253-6102/25/1/123

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The (1+1)-dimensional sine-Gordon model is studied in the framework of the variational Gaussian wave functionals. The renormalized mass depends on two dimensionless parameters. In the phase diagram a first-order phase transition will replace the second-order phase transition for large bare mass. The spectrum of the two-particle states consists of a continuum of scattering states and the isolated values connected to the excitonlike bound states. The energy of the bound states and the phase shifts of the scattering states are explicitly calculated.