In the Quark-Meson model, analytic continuation from imaginary to real chemical potential reproduces the chiral phase boundary only up to mu_conv about 146 MeV and has about 150 percent error near the critical endpoint.
Role of mesonic fluctuations in the Polyakov loop extended quark-meson model at imaginary chemical potential
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abstract
We explore the thermodynamics and phase structure of the Polyakov loop-extended two flavor chiral quark--meson (PQM) model beyond the mean-field approximation at imaginary chemical potential. Our approach is based on the functional renormalization group (FRG) method. At finite temperature and imaginary chemical potential, we solve the renormalization group flow equation for a scale-dependent thermodynamic potential in the presence of the gluonic background field. We determine behavior of order parameters of the PQM model in the FRG approach and compute the phase diagram. We compare our FRG results with that obtained in the mean-field approximation at imaginary chemical potential.
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Assessing the Reconstruction of the Critical Line in the QCD Phase Diagram from Imaginary to Real Chemical Potential
In the Quark-Meson model, analytic continuation from imaginary to real chemical potential reproduces the chiral phase boundary only up to mu_conv about 146 MeV and has about 150 percent error near the critical endpoint.