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Model study of the sign problem in the mean-field approximation
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We 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.
Forward citations
Cited by 2 Pith papers
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From deconfinement to nuclear matter: mean-field approaches for effective Polyakov loop theories of lattice QCD
A resummed mean-field approximation reproduces effective Polyakov loop theory Monte Carlo results at percent level, enabling analytic determination of heavy-quark QCD phase diagrams.
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Finite density lattice QCD via effective Polyakov loop theories
A resummed mean-field approximation for effective Polyakov loop theories reproduces the pure-gauge deconfinement critical coupling to about 3% and is used to sketch finite-density phase boundaries, with low-temperatur...
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