Multigrid Monte Carlo with higher cycles in the Sine Gordon model

Details Multigrid Monte Carlo with higher cycles in the Sine Gordon model Multigrid Monte Carlo with higher cycles in the Sine Gordon model

1993-01-21

arxiv.org/abs/hep-lat/9301011v1

Phys.Rev.D47:3103-3105,1993

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 1 figure, whole paper including figure contained in ps-file, DESY 93-007

Scientific paper

10.1103/PhysRevD.47.R3103

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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