Model study of the sign problem in the mean-field approximation

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dc.creatorFukushima, Kenji
dc.creatorHidaka, Yoshimasa
dc.date2006-10-24
dc.date2007-02-01
dc.date.accessioned2026-07-07T11:05:59Z
dc.date.available2026-07-07T11:05:59Z
dc.descriptionWe argue the sign problem of the fermion determinant at finite density. It is unavoidable not only in Monte-Carlo simulations on the lattice but in the mean-field approximation as well. A simple model deriving from Quantum Chromodynamics (QCD) in the double limit of large quark mass and large quark chemical potential exemplifies how the sign problem arises in the Polyakov loop dynamics at finite temperature and density. In the color SU(2) case our mean-field estimate is in excellent agreement with the lattice simulation. We combine the mean-field approximation with a simple phase reweighting technique to circumvent the complex action encountered in the color SU(3) case. We also investigate the mean-field free energy, from the saddle-point of which we can estimate the expectation value of the Polyakov loop.
dc.description14 page, 18 figures, typos corrected, references added, some clarification in sec.II
dc.identifierhttps://arxiv.org/abs/hep-ph/0610323
dc.identifierhttp://arxiv.org/abs/hep-ph/0610323
dc.identifierPhys.Rev.D75:036002,2007
dc.identifierdoi:10.1103/PhysRevD.75.036002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189380
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Lattice
dc.titleModel study of the sign problem in the mean-field approximation
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