Acceptance rates in multigrid Monte Carlo simulations

Journal Article · Mon Jun 15 04:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.45.R4372· OSTI ID:7184363

Grabenstein, M ^[1]; Pinn, K ^[2]

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1. II. Institut fuer Theoretische Physik, Universitaet Hamburg, D-2000 Hamburg 50 (Germany)
2. Institut fuer Theoretische Physik I, Universitaet Muenster, D-4400 Muenster (Germany)

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 two-dimensional sine-Gordon, {ital XY}, and {phi}{sup 4} models. The results are consistent with the following rule: For a critical model with a fundamental Hamiltonian {ital scrH}({phi}) sufficiently high acceptance rates for a complete elimination of critical slowing down can only be expected if the expansion of {l angle}{ital scrH}({phi}+{psi}){r angle} in terms of the shift {psi} contains no relevant term (mass term).

• OSTI ID: 7184363
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 45:12; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
BOSON-EXCHANGE MODELS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
HAMILTONIANS
LATTICE FIELD THEORY
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MONTE CARLO METHOD
PARTICLE MODELS
PARTITION FUNCTIONS
PERIPHERAL MODELS
PROBABILITY
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SIGMA MODEL
SIMULATION
SINE-GORDON EQUATION
TWO-DIMENSIONAL CALCULATIONS