Critical acceleration of Monte-Carlo simulations of Z2 gauge theory

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

doi:10.1016/0920-5632(90)90255-S

Critical acceleration of Monte-Carlo simulations of Z₂ gauge theory

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

^*Corresponding author for this work

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

Abstract

Critical Slowing Down for Z₂ lattice gauge theory in 3 dimensions is reduced drastically by a stochastic cluster algorithm. It reduces the dynamical exponent from z > 2 (standard local algorithms) to z ≈ 0.73. 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 3-D Ising model and φ⁴ model supports the conjecture of universality classes for stochastic cluster algorithms.

Original language	English
Pages (from-to)	285-288
Number of pages	4
Journal	Nuclear and Particle Physics Proceedings
Volume	17
Issue number	C
DOIs	https://doi.org/10.1016/0920-5632(90)90255-S
State	Published - Sep 1990
Externally published	Yes

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title = "Critical acceleration of Monte-Carlo simulations of Z2 gauge theory",

abstract = "Critical Slowing Down for Z2 lattice gauge theory in 3 dimensions is reduced drastically by a stochastic cluster algorithm. It reduces the dynamical exponent from z > 2 (standard local algorithms) to z ≈ 0.73. 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 3-D Ising model and φ4 model supports the conjecture of universality classes for stochastic cluster algorithms.",

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

year = "1990",

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AU - Ben-Av, R.

AU - Katznelson, E.

AU - Solomon, S.

AU - Kandel, D.

AU - Lauwers, P. G.

PY - 1990/9

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N2 - Critical Slowing Down for Z2 lattice gauge theory in 3 dimensions is reduced drastically by a stochastic cluster algorithm. It reduces the dynamical exponent from z > 2 (standard local algorithms) to z ≈ 0.73. 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 3-D Ising model and φ4 model supports the conjecture of universality classes for stochastic cluster algorithms.

AB - Critical Slowing Down for Z2 lattice gauge theory in 3 dimensions is reduced drastically by a stochastic cluster algorithm. It reduces the dynamical exponent from z > 2 (standard local algorithms) to z ≈ 0.73. 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 3-D Ising model and φ4 model supports the conjecture of universality classes for stochastic cluster algorithms.

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Critical acceleration of Monte-Carlo simulations of Z₂ gauge theory

Abstract

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