Critical acceleration of lattice gauge simulations

R. Ben-Av; D. Kandel; E. Katznelson; P. G. Lauwers; S. Solomon

doi:10.1007/BF01020288

Critical acceleration of lattice gauge simulations

R. Ben-Av^*, D. Kandel, E. Katznelson, P. G. Lauwers, S. Solomon

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

Abstract

We present a stochastic cluster algorithm that drastically reduces critical slowing down for Z₂ lattice gauge theory in three dimensions. The dynamical exponent z is reduced from z>2 (standard Metropolis algorithm) to z≈O.73. The Monte Carlo pseudodynamics acts on the gauge-invariant flux tubes that are known to be the relevant large-scale low-energy excitations. A comparison of our results with known results for the 3D Ising model and φ⁴ model supports the conjecture of universality classes for stochastic cluster algorithms.

Original language	English
Pages (from-to)	125-139
Number of pages	15
Journal	Journal of Statistical Physics
Volume	58
Issue number	1-2
DOIs	https://doi.org/10.1007/BF01020288
State	Published - Jan 1990
Externally published	Yes

Keywords

Critical slowing down
dynamical exponents
stochastic cluster algorithms
Z lattice gauge theory

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10.1007/BF01020288

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author = "R. Ben-Av and D. Kandel and E. Katznelson and Lauwers, {P. G.} and S. Solomon",

year = "1990",

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AU - Lauwers, P. G.

AU - Solomon, S.

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AB - We present a stochastic cluster algorithm that drastically reduces critical slowing down for Z2 lattice gauge theory in three dimensions. The dynamical exponent z is reduced from z>2 (standard Metropolis algorithm) to z≈O.73. The Monte Carlo pseudodynamics acts on the gauge-invariant flux tubes that are known to be the relevant large-scale low-energy excitations. A comparison of our results with known results for the 3D Ising model and φ4 model supports the conjecture of universality classes for stochastic cluster algorithms.

KW - Critical slowing down

KW - dynamical exponents

KW - stochastic cluster algorithms

KW - Z lattice gauge theory

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Critical acceleration of lattice gauge simulations

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Keywords

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