Monte Carlo Simulation of a Lattice Field Theory as Correlated Percolation

Wolff, Ulli

doi:10.1016/0550-3213(88)90609-8

Monte Carlo Simulation of a Lattice Field Theory as Correlated Percolation

Ulli Wolff
(
- Kiel U.
)

Aug, 1987

16 pages

Published in:

Nucl.Phys.B 300 (1988) 501-516

Published: 1988

DOI:

10.1016/0550-3213(88)90609-8

Report number:

DESY-87-092

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Abstract: (Elsevier)

The recently proposed formulation of lattice field theory as a percolation process is tested numerically in the O(3) σ-model. Its spins decompose into fluctuating clusters similar to Fisher droplets which are rotated as a whole. The autocorrelation time of the algorithm is reduced by a factor ∼2 only. The information residing in the clusters is used to define improved estimators for physical quantities. They are found to allow measurements of large-distance correlations with considerably higher accuracy as compared to a standard simulation.

LATTICE FIELD THEORY: ACTION
LATTICE FIELD THEORY: TWO-DIMENSIONAL
FIELD THEORETICAL MODEL: SIGMA
SYMMETRY: O(3)
MODEL: CLUSTER
STATISTICAL MECHANICS: ISING
SPIN: CORRELATION
CORRELATION: SPIN
NUMERICAL CALCULATIONS: MONTE CARLO
numerical methods: Monte Carlo

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