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Cluster Algorithms For Nonlinear Sigma Models

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  • ULLI WOLFF

    (CERN, Theory Division, CH-1211 Genève 23, Switzerland)

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.

Suggested Citation

  • Ulli Wolff, 1992. "Cluster Algorithms For Nonlinear Sigma Models," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 3(01), pages 213-219.
    • Handle: RePEc:wsi:ijmpcx:v:03:y:1992:i:01:n:s012918319200018x
    DOI: 10.1142/S012918319200018X
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