The Sine Gordon Model: Perturbation Theory and Cluster Monte Carlo

Abstract

We study the expansion of the surface thickness in the 2-dimensional lattice Sine Gordon model in powers of the fugacity z. Using the expansion to order z**2, we derive lines of constant physics in the rough phase. We describe and test a VMR cluster algorithm for the Monte Carlo simulation of the model. The algorithm shows nearly no critical slowing down. We apply the algorithm in a comparison of our perturbative results with Monte Carlo data.

compressed and uuencoded PostScript file, 25 pages, preprints CERN TH.7374/94, MS-TPI-94-9

References in corpus (2)

• High Precision Renormalization Group Study of the Roughening Transition
• Cluster Algorithm for a Solid-On-Solid Model with Constraints

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• Extending canonical Monte Carlo methods II
• Lattice sine-Gordon model
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• Berezinskii-Kosterlitz-Thouless phase transition from lattice sine-Gordon model
• Bosonized one-dimensional quantum systems through enhanced event-chain Monte Carlo
• The generic Mott transition in the sine-Gordon model through an embedded worm algorithm