Decay of correlations in surface models |
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Authors: | R. Brandenberger C. E. Wayne |
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Affiliation: | (1) Department of Physics, Harvard University, 02138 Cambridge, Massachusetts |
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Abstract: | A convergent low-temperature expansion for a variety of models of twodimensional surfaces is presented. It yields existence of the thermodynamic limit for the pressure and correlation functions as well as analyticity inz =e– In addition, the estimates give exponential decay of truncated correlations, which proves the existence of a gap in the spectrum of the transfer matrix below the ground state eigenvalue. Two particular examples included in the general framework are the solid-on-solid and discrete Gaussian models.Supported in part by the National Science Foundation under grant No. PHY 79-16812. |
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Keywords: | Surface models decay of correlations interfaces algebraic formalism |
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