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arXiv · hep-lat/9301011

Multigrid Monte Carlo with higher cycles in the Sine Gordon model

Martin Grabenstein·Bernhard Mikeska
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Abstract

We study the dynamical critical behavior of multigrid Monte Carlo for the two dimensional Sine Gordon model on lattices up to 128 x 128. Using piecewise constant interpolation, we perform a W-cycle (gamma=2). We examine whether one can reduce critical slowing down caused by decreasing acceptance rates on large blocks by doing more work on coarser lattices. To this end, we choose a higher cycle with gamma = 4. The results clearly demonstrate that critical slowing down is not reduced in either case.

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Martin Grabenstein, Bernhard Mikeska. 1993-01-21. Multigrid Monte Carlo with higher cycles in the Sine Gordon model. https://doi.org/10.1103/physrevd.47.r3103

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