Global Monte Carlo algorithms for many-fermion systems
Journal Article
·
· Phys. Rev. D; (United States)
I discuss algorithms for simulating many-fermion systems via global updatings of auxiliary fields followed by an accept-reject stage which eliminates finite-step-size errors. When the system size is larger than the correlation length, these procedures should require computer time growing only slightly faster than linearly with the system volume V. A corrected Langevin scheme should asymptotically display a V/sup 4/3/ behavior, while the hybrid Monte Carlo scheme can behave as V/sup 5/4/. I present some tests of the latter algorithm on a simple model of interacting electrons on a two-dimensional lattice.
- Research Organization:
- Physics Department, Brookhaven National Laboratory, Upton, New York 11973
- OSTI ID:
- 6920336
- Journal Information:
- Phys. Rev. D; (United States), Vol. 38:4
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ELECTRONS
MANY-BODY PROBLEM
PARTICLE INTERACTIONS
ALGORITHMS
FERMIONS
LANGEVIN EQUATION
LATTICE FIELD THEORY
MONTE CARLO METHOD
PARTITION FUNCTIONS
PROBABILITY
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
FUNCTIONS
INTERACTIONS
LEPTONS
MATHEMATICAL LOGIC
QUANTUM FIELD THEORY
645203* - High Energy Physics- Particle Interactions & Properties-Theoretical- Weak Interactions & Properties
645400 - High Energy Physics- Field Theory
ELECTRONS
MANY-BODY PROBLEM
PARTICLE INTERACTIONS
ALGORITHMS
FERMIONS
LANGEVIN EQUATION
LATTICE FIELD THEORY
MONTE CARLO METHOD
PARTITION FUNCTIONS
PROBABILITY
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
FUNCTIONS
INTERACTIONS
LEPTONS
MATHEMATICAL LOGIC
QUANTUM FIELD THEORY
645203* - High Energy Physics- Particle Interactions & Properties-Theoretical- Weak Interactions & Properties
645400 - High Energy Physics- Field Theory