Multigrid Monte Carlo method. IV. One-dimensional O(4)-symmetric nonlinear {sigma} model

Journal Article · Fri Mar 01 04:00:00 EST 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.53.3438· OSTI ID:279225

Mendes, T; Sokal, A D ^[1]

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1. Department of Physics, New York University, 4 Washington Place, New York, New York 10003 (United States)

We study the dynamic critical behavior of the multigrid Monte Carlo algorithm with piecewise-constant interpolation and a W cycle, applied to the one-dimensional O(4)-symmetric nonlinear {sigma} model [=SU(2) principal chiral model], on lattices from {ital L}=128 to {ital L}=16384. Our data for the integrated autocorrelation time {tau}{sub int,M{sup 2}} are well fit by a logarithmic growth. We have no idea why the critical slowing-down is not completely eliminated. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 279225
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 6 Vol. 53; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ALGORITHMS
CHIRAL SYMMETRY
CORRELATIONS
MONTE CARLO METHOD
NONLINEAR PROBLEMS
O GROUPS
ONE-DIMENSIONAL CALCULATIONS
SIGMA MODEL