Possible barrier at z approx 1 for local algorithms

Journal Article · Fri May 15 04:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.45.3880· OSTI ID:7235572

Bathas, G; Neuberger, H ^[1]

---

1. Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08855-0849 (United States)

It is shown that a certain class of generalizations of overrelaxation algorithms is incapable of further reducing the dynamical exponent {ital z} below its standard overrelaxed value of {ital z}{approx}1. The mean-field value is unity and is obtained in a theory that is free in the static limit, while the effect of interactions and dimensionality could be estimated with dynamical renormalization-group methods. The generalizations are obtained by viewing overrelaxation as a slightly deformed deterministic algorithm and should, therefore, hold for hybrid Monte Carlo algorithms as well.

• DOE Contract Number: FG05-90ER40559
• OSTI ID: 7235572
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 45:10; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

661100 -- Classical & Quantum Mechanics-- (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
COMPUTER CALCULATIONS
HAMILTONIANS
MATHEMATICAL LOGIC
MATHEMATICAL OPERATORS
MEAN-FIELD THEORY
MONTE CARLO METHOD
PROBABILITY
QUANTUM OPERATORS
RELAXATION
RENORMALIZATION