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

Mendes, T; Sokal, AD; (1996) Multigrid Monte Carlo method .4. One-dimensional O(4)-symmetric nonlinear sigma model. PHYS REV D , 53 (6) 3438 - 3444.

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Abstract

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 a model [=SU(2) principal chiral model], on lattices from L = 128 to L = 16 384. Our data for the integrated autocorrelation time tau(int,M2) are well fit by a logarithmic growth. We have no idea why the critical slowing-down is not completely eliminated.

Type: Article
Title: Multigrid Monte Carlo method .4. One-dimensional O(4)-symmetric nonlinear sigma model
Keywords: U(1) GAUGE-FIELDS, XY-MODEL, ALGORITHM
UCL classification: UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics
URI: http://discovery.ucl.ac.uk/id/eprint/1323501
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