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.
Dense Quarks, and the Fermion Sign Problem, in a SU(N) Matrix Model
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abstract
We study the effect of dense quarks in a SU(N) matrix model of deconfinement. For three or more colors, the quark contribution to the loop potential is complex. After adding the charge conjugate loop, the measure of the matrix integral is real, but not positive definite. In a matrix model, quarks act like a background Z(N) field; at nonzero density, the background field also has an imaginary part, proportional to the imaginary part of the loop. Consequently, while the expectation values of the loop and its complex conjugate are both real, they are not equal. These results suggest a possible approach to the fermion sign problem in lattice QCD.
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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.