The critical line from imaginary to real baryonic chemical potentials in two-color QCD

Abstract

The method of analytic continuation from imaginary to real chemical potentials $\mu$ is one of the few available techniques to study QCD at finite temperature and baryon density. One of its most appealing applications is the determination of the critical line for small $\mu$: we perform a direct test of the validity of the method in this case by studying two-color QCD, where the sign problem is absent. The (pseudo)critical line is found to be analytic around ${\mu }^2=0$, but a very large precision would be needed at imaginary $\mu$ to correctly predict the location of the critical line at real $\mu$.

Replaced with the version accepted for publication as a Rapid Communication in Physical Review D1

References in corpus (4)

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Cited by in corpus (16)

• Finite-density lattice QCD and sign problem: current status and open problems
• Analytic continuation of the critical line: suggestions for QCD
• The Roberge-Weiss endpoint in N_f = 2 QCD
• Imaginary Chemical Potential Approach for the Pseudo-Critical Line in the QCD Phase Diagram with Clover-Improved Wilson Fermions
• Curvature of the chiral pseudo-critical line in QCD
• Anomaly matching in QCD thermal phase transition
• Quark number densities at imaginary chemical potential in $N_f=2$ lattice QCD with Wilson fermions and its model analyses
• Two-color QCD at imaginary chemical potential and its impact on real chemical potential
• Phases and properties of quark matter
• Towards extremely dense matter on the lattice
• The curvature of the pseudo-critical line in the QCD phase diagram from mesonic lattice correlation functions
• Analytic continuation in two-color QCD: new results on the critical line
• Two-flavor QCD at finite quark or isospin density
• The critical line of QCD with four degenerate quarks
• Analytic continuation in QCD-like theories at finite density and finite isospin
• On the analytic continuation of the critical line