The Sine Gordon Model: Perturbation Theory and Cluster Monte Carlo

Details The Sine Gordon Model: Perturbation Theory and Cluster Monte Carlo The Sine Gordon Model: Perturbation Theory and Cluster Monte Carlo

1994-08-04

arxiv.org/abs/hep-lat/9408005v1

Physica A211 (1994) 255

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1016/0378-4371(94)00196-0

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.

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