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Exploring the phase diagram of QCD at finite density is a challenging problemsince first-principle calculations based on standard Monte Carlo methods sufferfrom the sign problem. As a promising approach to this issue, the complexLangevin method (CLM) has been pursued intensively.In this work, we investigatethe applicability of the CLM in the vicinity of the deconfinement phasetransition using the four-flavor staggered fermions. In particular, we look fora signal of the expected first order phase transition within the validityregion of the CLM.

Can the complex Langevin method see the deconfinement phase transition in QCD at finite density?