MULTIGRID MONTE-CARLO METHOD .4. ONE-DIMENSIONAL O(4)-SYMMETRICAL NONLINEAR SIGMA-MODEL

Authors
MENDES T SOKAL AD
Citation
T. Mendes et Ad. Sokal, MULTIGRID MONTE-CARLO METHOD .4. ONE-DIMENSIONAL O(4)-SYMMETRICAL NONLINEAR SIGMA-MODEL, Physical review. D. Particles and fields, 53(6), 1996, pp. 3438-3444
Citations number
26
Categorie Soggetti
Physics, Particles & Fields
Journal title
Physical review. D. Particles and fields → ACNP
ISSN journal
05562821
Volume
53
Issue
6
Year of publication
1996
Pages
3438 - 3444
Database
ISI
SICI code
0556-2821(1996)53:6<3438:MMM.OO>2.0.ZU;2-T
Abstract
We study the dynamic critical behavior of the multigrid Monte Carlo al gorithm with piecewise-constant interpolation and a W cycle, applied t o the one-dimensional O(4)-symmetric nonlinear a model [=SU(2) princip al 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 log arithmic growth. We have no idea why the critical slowing-down is not completely eliminated.