Acceptance Rates in Multigrid Monte Carlo

Details Acceptance Rates in Multigrid Monte Carlo Acceptance Rates in Multigrid Monte Carlo

1992-04-30

arxiv.org/abs/hep-lat/9204016v1

Phys.Rev.D45:4372-4375,1992

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages, 3 ps-figures

Scientific paper

10.1103/PhysRevD.45.R4372

An approximation formula is derived for acceptance rates of nonlocal Metropolis updates in simulations of lattice field theories. The predictions of the formula agree quite well with Monte Carlo simulations of 2-dimensional Sine Gordon, XY and phi**4 models. The results are consistent with the following rule: For a critical model with a fundamental Hamiltonian H(phi) sufficiently high acceptance rates for a complete elimination of critical slowing down can only be expected if the expansion of < H(phi+psi) > in terms of the shift psi contains no relevant term (mass term).

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