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

Presenter: Yoshimasa Hidaka — RIKEN BNL Research Center

Yoshimasa Hidaka and Kenji Fukushima

We study the sign problem of fermion determinant for non zero baryon chemical potential. For this purpose we apply a simple model deriving from Quantum Chromodynamics in the large chemical potential and large mass limit. In the color SU(2) case, no sign problem, the result in the mean field approximation nicely reproduces Lattice data. In the SU(3) case, the sign problem cannot be avoided even in the mean-field approximation. We apply a phase-reweighting method combined with the mean-field approximation to estimations of thermodynamic quantities. We also investigate the mean-field free energy from saddle-point approximation.