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 σ model [=SU(2) principal chiral model], on lattices from L=128 to L=16 384. Our data for the integrated autocorrelation time (formula presented) are well fit by a logarithmic growth. We have no idea why the critical slowing-down is not completely eliminated.
|Original language||English (US)|
|Number of pages||7|
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|State||Published - Jan 1 1996|
ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)