Theoretical Analysis of Acceptance Rates in Multigrid Monte Carlo

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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7 pages, no figures, (talk at LATTICE 92 in Amsterdam)

Scientific paper

10.1016/0920-5632(93)90205-K

We analyze the kinematics of multigrid Monte Carlo algorithms by investigating acceptance rates for nonlocal Metropolis updates. With the help of a simple criterion we can decide whether or not a multigrid algorithm will have a chance to overcome critial slowing down for a given model. Our method is introduced in the context of spin models. A multigrid Monte Carlo procedure for nonabelian lattice gauge theory is described, and its kinematics is analyzed in detail.

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