Applying the Wang-Landau Algorithm to Lattice Gauge Theory

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dc.creatorBringoltz, Barak
dc.creatorSharpe, Stephen R.
dc.date2008-07-08
dc.date2008-10-07
dc.date.accessioned2026-07-07T11:52:24Z
dc.date.available2026-07-07T11:52:24Z
dc.descriptionWe implement the Wang-Landau algorithm in the context of SU(N) lattice gauge theories. We study the quenched, reduced version of the lattice theory and calculate its density of states for N=20,30,40,50. We introduce a variant of the original algorithm in which the weight function used in the update does not asymptote to a fixed function, but rather continues to have small fluctuations which enhance tunneling. We formulate a method to evaluate the errors in the density of states, and use the result to calculate the dependence of the average action density and the specific heat on the `t Hooft coupling lambda. This allows us to locate the coupling lambda_t at which a strongly first order transition occurs in the system. For N=20 and 30 we compare our results to those obtained using Ferrenberg-Swendsen multi-histogram reweighting and find agreement with errors of 0.2 % or less. Extrapolating our results to N=oo we find 1/lambda_t = 0.3148(2). We remark on the significance of this result for the validity of quenched large-$N$ reduction of SU(N) lattice gauge theories.
dc.description40 pages, 13 figures. Added discussions on the way the Wang-Landau algorithm that we use differs from other implementations in the literature, added references, corrected typos, published version
dc.identifierhttps://arxiv.org/abs/0807.1275
dc.identifierhttp://arxiv.org/abs/0807.1275
dc.identifierPhys.Rev.D78:074503,2008
dc.identifierdoi:10.1103/PhysRevD.78.074503
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204216
dc.subjectHigh Energy Physics - Lattice
dc.subjectStatistical Mechanics
dc.subjectComputational Physics
dc.titleApplying the Wang-Landau Algorithm to Lattice Gauge Theory
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