Kinematics of multigrid Monte Carlo

Journal Article · Sat May 01 04:00:00 EDT 1993 · Journal of Statistical Physics; (United States)

DOI:https://doi.org/10.1007/BF01058439· OSTI ID:6174461

Grabenstein, M ^[1]; Pinn, K ^[2]

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1. Universitaet Hamburg (Germany)
2. Universitaet Muenster (Germany)

The authors study the kinematics of multigrid Monte Carlo algorithms by means of acceptance rates for nonlocal Metropolis update proposals. An approximation formula for acceptance rates is derived. A comparison is presented of different coarse-to-fine interpolation schemes in free field theory, where the formula is exact. The predictions of the approximation formula for several interacting models are well confirmed by Monte Carlo simulations. The following rule is found: For a critical model with fundamental Hamiltonian H([phi]), the absence of critical slowing down can only be expected if the expansion of [l angle]H([phi]+[psi])[r angle] in terms of the shift [psi] contains no relevant (mass) term. The authors also introduce a multigrid update procedure for non-abelian lattice gauge theory and study the acceptance rates for gauge group SU(2) in for dimensions. 35 refs., 8 figs., 4 tabs.

• OSTI ID: 6174461
• Journal Information: Journal of Statistical Physics; (United States), Journal Name: Journal of Statistical Physics; (United States) Vol. 71:3-4; ISSN JSTPBS; ISSN 0022-4715
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
ANGULAR MOMENTUM
CALCULATION METHODS
COMPUTERIZED SIMULATION
DATA
FIELD THEORIES
HAMILTONIANS
INFORMATION
INTERPOLATION
LATTICE FIELD THEORY
MATHEMATICAL LOGIC
MATHEMATICAL OPERATORS
MECHANICS
MONTE CARLO METHOD
NUMERICAL DATA
NUMERICAL SOLUTION
PARTICLE KINEMATICS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SIMULATION
SLOWING-DOWN
SPIN
STATISTICAL MECHANICS
THEORETICAL DATA