Critical acceleration of lattice gauge simulations

Ben-Av, Radel; Kandel, Daniel; Katznelson, E.; Lauwers, P.G.; Solomon, Sorin

doi:10.1007/bf01020288

Cited by 42 publications

(30 citation statements)

References 17 publications

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“…For moderate correlation lengths, as discussed in this paper, the microcanonical demon algorithm should provide superior performances compared to a cluster-update [23].…”

Section: The Demon Algorithmmentioning

confidence: 95%

String effects in the Wilson loop: a high precision numerical test

et al. 1997

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We test numerically the effective string description of the infrared limit of lattice gauge theories in the confining regime. We consider the 3d ZZ2 lattice gauge theory, and we define ratios of Wilson loops such that the predictions of the effective string theory do not contain any adjustable parameters. In this way we are able to obtain a degree of accuracy high enough to show unambiguously that the flux-tube fluctuations are described, in the infrared limit, by an effective bosonic string theory.

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“…For moderate correlation lengths, as discussed in this paper, the microcanonical demon algorithm should provide superior performances compared to a cluster-update [23].…”

Section: The Demon Algorithmmentioning

confidence: 95%

String effects in the Wilson loop: a high precision numerical test

et al. 1997

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“…Preliminary results for the three-dimensional Z2 gauge theory yield a dynamic critical exponent roughly equal to that of the ordinary SW algorithm for the three-dimensional Ising model (to which the gauge theory is dual) [69].…”

Section: Historical Remark the Random-cluster Model Was Introduced Imentioning

confidence: 98%

Monte Carlo Methods in Statistical Mechanics: Foundations and New Algorithms

1997

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“…For lattice gauge theories the situation is even more difficult. Only for models with discrete gauge groups efficient cluster algorithms could be found [35,36]. Despite numerous attempts, so far no efficient cluster algorithm has been constructed for models with continuous gauge groups.…”

Section: A Flux Cluster Algorithm For the U (1) Quantum Link Modelmentioning

confidence: 99%

D-theory: field theory via dimensional reduction of discrete variables

Beard

Brower

Chandrasekharan

et al. 1998

Nuclear Physics B - Proceedings Supplements

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A new non-perturbative approach to quantum field theory -D-theory -is proposed, in which continuous classical fields are replaced by discrete quantized variables which undergo dimensional reduction. The 2-d classical O(3) model emerges from the (2 + 1)-d quantum Heisenberg model formulated in terms of quantum spins. Dimensional reduction is demonstrated explicitly by simulating correlation lengths up to 350,000 lattice spacings using a loop cluster algorithm. In the framework of D-theory, gauge theories are formulated in terms of quantum links -the gauge analogs of quantum spins. Quantum links are parallel transporter matrices whose elements are non-commuting operators. They can be expressed as bilinears of anticommuting fermion constituents. In quantum link models dimensional reduction to four dimensions occurs, due to the presence of a 5-d Coulomb phase, whose existence is confirmed by detailed simulations using standard lattice gauge theory. Using Shamir's variant of Kaplan's fermion proposal, in quantum link QCD quarks appear as edge states of a 5-d slab. This naturally protects their chiral symmetries without fine-tuning. The first efficient cluster algorithm for a gauge theory with a continuous gauge group is formulated for the U (1) quantum link model. Improved estimators for Wilson loops are constructed, and dimensional reduction to ordinary lattice QED is verified numerically.

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Critical acceleration of lattice gauge simulations

Cited by 42 publications

References 17 publications

String effects in the Wilson loop: a high precision numerical test

String effects in the Wilson loop: a high precision numerical test

Monte Carlo Methods in Statistical Mechanics: Foundations and New Algorithms

D-theory: field theory via dimensional reduction of discrete variables

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