Abstract
We present a stochastic cluster algorithm that drastically reduces critical slowing down forZ 2 lattice gauge theory in three dimensions. The dynamical exponentz is reduced fromz>2 (standard Metropolis algorithm) toz≈O.73. The Monte Carlo pseudodynamics acts on the gauge-invariant flux tubes that are known to be the relevant large-scale low-energy excitations. A comparison of our results with known results for the 3D Ising model andφ 4 model supports the conjecture of universality classes for stochastic cluster algorithms.
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Ben-Av, R., Kandel, D., Katznelson, E. et al. Critical acceleration of lattice gauge simulations. J Stat Phys 58, 125–139 (1990). https://doi.org/10.1007/BF01020288
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DOI: https://doi.org/10.1007/BF01020288