AN EFFICIENT ALGORITHM FOR CLUSTER UPDATES IN Z(2) LATTICE GAUGE THEORIES

B. Bunk
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B. Bunk: Physics Department, University of Bielefeld, P.O.Box 8640, D-4800 Bielefeld 1, Germany

International Journal of Modern Physics C (IJMPC), 1992, vol. 03, issue 01, 221-233

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.

Keywords: Z(2) gauge theory; Cluster updating; Incidence matrix; Gaussian elimination; Z(2) Higgs model (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1142/S0129183192000191

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