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An Efficient Algorithm For Cluster Updates In Z(2) Lattice Gauge Theories

Author

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  • B. BUNK

    (Physics Department, University of Bielefeld, P.O.Box 8640, D-4800 Bielefeld 1, Germany)

Abstract

An efficient algorithm for identifying the independent cluster flips in a Z(2) lattice gauge theory with stochastic percolation is presented. It applies Gaussian elimination to the incidence matrix, with special attention payed to the pivoting strategy and appropriate linked list structures. At the critical point of the 3-dimensional pure gauge model, storage and cpu-time scale likeL3andL3log L, respectively. The algorithm is also applied to the 3-D Z(2) gauge-Higgs model along the self-dual line. A second order critical line is found, endpoints and critical indices are determined. The cluster update is superior to the heat bath in the region near the triple point.

Suggested Citation

  • B. Bunk, 1992. "An Efficient Algorithm For Cluster Updates In Z(2) Lattice Gauge Theories," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 3(01), pages 221-233.
    • Handle: RePEc:wsi:ijmpcx:v:03:y:1992:i:01:n:s0129183192000191
    DOI: 10.1142/S0129183192000191
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