Multigrid Monte Carlo algorithms for SU(2) lattice gauge theory: Two versus four dimensions

Journal Article · Thu Dec 01 04:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.6998· OSTI ID:7098145

Grabenstein, M ^[1]; Pinn, K ^[2]

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1. Department of Applied Mathematics and Computer Science, The Weizmann Institute of Science, Rehovot 76100 (Israel)
2. Institut fuer Theoretische Physik I, Universitaet Muenster, Wilhelm-Klemm-Strasse 9, 48149 Muenster (Germany)

We study a multigrid method for non-Abelian lattice gauge theory, the time slice blocking, in two and four dimensions. For SU(2) gauge fields in two dimensions, critical slowing down is almost completely eliminated by this method. This result is in accordance with theoretical arguments based on the analysis of the scale dependence of acceptance rates for nonlocal Metropolis updates. The generalization of the time slice blocking to SU(2) in four dimensions is investigated analytically and by numerical simulations. Compared to two dimensions, the local disorder in the four-dimensional gauge field leads to kinematical problems.

• OSTI ID: 7098145
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:11; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

661300 -- Other Aspects of Physical Science-- (1992-)
662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
ANALYTICAL SOLUTION
CALCULATION METHODS
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
MONTE CARLO METHOD
PARTICLE MODELS
QUANTUM FIELD THEORY
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
TWO-DIMENSIONAL CALCULATIONS
UNIFIED GAUGE MODELS