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We discuss the phase structure and the equation of state for QCD at non-zero temperature and density. Derivatives of ln Z with respect to quark chemical potential µq up to fourth order are calculated for 2-flavor QCD, enabling estimates of the pressure, quark number density and associated susceptibilities as functions of µq via a Taylor series expansion. Also, the phase transition line for 2 and 3-flavor QCD and the critical endpoint in the (T, µq) plane are investigated in the low density regime.
Ejiri et al. (Thu,) studied this question.