Investigation of the two-dimensional O(3) model using the overrelaxation algorithm

Journal Article · Mon Apr 15 04:00:00 EDT 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.2687· OSTI ID:5835320

Apostolakis, J; Baillie, C F; Fox, G C ^[1]

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1. Physics Department, California Institute of Technology, Pasadena, California 91125 (US)

We investigate the two-dimensional O(3) model with the standard action by Monte Carlo simulation at couplings {beta} up to 2.05. We measure the energy density, mass gap, and susceptibility of the model, and gather high statistics on lattices of size {ital L}{le}1024 using the floating point systems T-series vector hypercube. Asymptotic scaling does not appear to set in for this action, even at {beta}=2.05, where the correlation length is 304. We observe a 20% difference between our estimate {ital m}/{Lambda}{sub M{bar S}}=3.52(6) at this {beta} and the recent exact analytical result. We use the overrelaxation algorithm interleaved with Metropolis updates and show that the decorrelation time scales with the correlation length and the number of overrelaxation steps per sweep. We determine its effective dynamical critical exponent to be {ital z}{prime}=1.079(10); thus critical slowing down is reduced significantly for this local algorithm that is vectorizable and parallelizable.

• DOE Contract Number: FG03-85ER25009; AC03-81ER40050
• OSTI ID: 5835320
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 43:8; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
ANGULAR MOMENTUM
DYNAMICAL GROUPS
ENERGY DENSITY
FIELD THEORIES
INSTANTONS
LIE GROUPS
MASS
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
MONTE CARLO METHOD
O GROUPS
PARTICLE MODELS
PARTICLE PROPERTIES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUASI PARTICLES
RELAXATION
SIGMA MODEL
SPIN
SYMMETRY GROUPS
TWO-DIMENSIONAL CALCULATIONS