English

The Sine Gordon Model: Perturbation Theory and Cluster Monte Carlo

High Energy Physics - Lattice 2009-10-22 v1

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.

Keywords

Cite

@article{arxiv.hep-lat/9408005,
  title  = {The Sine Gordon Model: Perturbation Theory and Cluster Monte Carlo},
  author = {M. Hasenbusch and M. Marcu and K. Pinn},
  journal= {arXiv preprint arXiv:hep-lat/9408005},
  year   = {2009}
}

Comments

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