Multigrid acceleration for asymptotically free theories
Journal Article
·
· Physical Review Letters; (United States)
- Fachbereich Physik, Universitaet Kaiserslautern, D-6750 Kaiserslautern (Germany)
We present a multigrid Monte Carlo algorithm with piecewise-linear interpolation operator for nonlinear {sigma} models with global chiral SU({ital N}){times}SU({ital N}) symmetry or CP{sup {ital N}{minus}1} manifold. We demonstrate its efficiency in the two-dimensional SU(3){times}SU(3) chiral model and the CP{sup 3} nonlinear {sigma} model for correlation length up to 77 in lattice units. On lattices up to size 512{times}512 we achieve almost complete elimination of critical slowing down in the CP{sup 3} case, with a dynamical critical exponent {ital z}{sub MGMC}=0.2{plus minus}0.1. Asymptotic scaling with the bare coupling does not appear to set in for the standard action of both models in the range of parameters studied.
- OSTI ID:
- 5107855
- Journal Information:
- Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 68:4; ISSN PRLTA; ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
BOSON-EXCHANGE MODELS
FIELD THEORIES
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
MONTE CARLO METHOD
PARTICLE MODELS
PERIPHERAL MODELS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
SIGMA MODEL
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
BOSON-EXCHANGE MODELS
FIELD THEORIES
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
MONTE CARLO METHOD
PARTICLE MODELS
PERIPHERAL MODELS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
SIGMA MODEL
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS