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Complex nature of finite density QCD with heavy quarks in the strong couplingregion is studied. For this purpose, we consider the effective potential as afunction of Polyakov line, and study thermodynamic singularities and associatedStokes boundaries in the complex chemical potential plane. We also perform anexplicit analytic continuation of the first order transition and crossoverlines in the complex chemical potential plane.

Analytic continuation of finite density QCD with heavy quarks in the strong coupling region