Abstract
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 ${V}^{4/3}$ behavior, while the hybrid Monte Carlo scheme can behave as ${V}^{5/4}$. I present some tests of the latter algorithm on a simple model of interacting electrons on a two-dimensional lattice.
Keywords
Monte Carlo methodFermionStatistical physicsPhysicsMonte Carlo method in statistical physicsLattice (music)AlgorithmQuantum Monte CarloHybrid Monte CarloSimple (philosophy)Monte Carlo molecular modelingDynamic Monte Carlo methodMonte Carlo algorithmMonte Carlo integrationComputer scienceQuantum mechanicsMathematicsMarkov chain Monte CarloStatistics
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Publication Info
- Year
- 1988
- Type
- article
- Volume
- 38
- Issue
- 4
- Pages
- 1228-1238
- Citations
- 146
- Access
- Closed
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Cite This
Michael Creutz
(1988).
Global Monte Carlo algorithms for many-fermion systems.
Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
, 38
(4)
, 1228-1238.
https://doi.org/10.1103/physrevd.38.1228
Identifiers
- DOI
- 10.1103/physrevd.38.1228