Multigrid Monte Carlo method for lattice field theories

Journal Article · Mon Mar 10 00:00:00 EST 1986 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.56.1015· OSTI ID:6140344

Goodman, J; Sokal, A D

We propose a stochastic generalization of the multigrid method, which reduces critical slowing down in Monte Carlo computations of lattice field theories. For free fields, critical slowing down is completely eliminated. For a phi/sup 4/ model, numerical experiments show a factor of roughly-equal10 reduction, over a standard heat-bath algorithm, in the work needed to get a given accuracy (error-bar size).

• Research Organization: Courant Institute of Mathematical Sciences, New York University, 251 Mercer St., New York, New York 10012
• OSTI ID: 6140344
• Journal Information: Phys. Rev. Lett.; (United States), Vol. 56:10
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
LATTICE FIELD THEORY
MONTE CARLO METHOD
ALGORITHMS
GAUGE INVARIANCE
HAMILTONIANS
PHI4-FIELD THEORY
PROBABILITY
RENORMALIZATION
SCALAR FIELDS
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U-1 GROUPS
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LIE GROUPS
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