CLUSTER ALGORITHMS FOR NONLINEAR SIGMA MODELS

Ulli Wolff
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Ulli Wolff: CERN, Theory Division, CH-1211 Genève 23, Switzerland

International Journal of Modern Physics C (IJMPC), 1992, vol. 03, issue 01, 213-219

Abstract: Percolation cluster Monte Carlo algorithms for nonlinear σ-models on the lattice are reviewed with special emphasis on their possible generalizations. While they have been found to practically eliminate critical slowing down for the standardO(n)invariant vector models, their extension to other physically similar models — likeRPn−1andSU(n)×SU(n)chiral models — is less straight forward than one might have thought. I outline the present situation in this area of research. In the second part of my talk I described a numerical calculation of a physical running coupling constant in theO(3)model. This represents an application of the cluster technique in a preparatory study for a later lattice gauge theory calculation. This material can be found in Ref. 11.

Keywords: Monte Carlo algorithm; Critical Slowing Down; Cluster algorithm; Sigma model (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1142/S012918319200018X

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