Global Monte Carlo algorithms for many-fermion systems

Journal Article · Mon Aug 15 04:00:00 EDT 1988 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.38.1228· OSTI ID:6920336

Creutz, M

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), Journal Name: Phys. Rev. D; (United States) Vol. 38:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645203* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Weak Interactions & Properties
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
FUNCTIONS
INTERACTIONS
LANGEVIN EQUATION
LATTICE FIELD THEORY
LEPTONS
MANY-BODY PROBLEM
MATHEMATICAL LOGIC
MONTE CARLO METHOD
PARTICLE INTERACTIONS
PARTITION FUNCTIONS
PROBABILITY
QUANTUM FIELD THEORY