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 $\mu$.

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

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Cited by in corpus (31)

• Curvature of the chiral pseudo-critical line in QCD: continuum extrapolated results
• Finite-density lattice QCD and sign problem: current status and open problems
• Curvature of the pseudocritical line in QCD: Taylor expansion matches analytic continuation
• Thermodynamics of two flavor QCD from imaginary chemical potentials
• The order of the Roberge-Weiss endpoint (finite size transition) in QCD
• The critical line of two-flavor QCD at finite isospin or baryon densities from imaginary chemical potentials
• Analytic continuation of the critical line: suggestions for QCD
• Two-color quark matter: U(1)_A restoration, superfluidity, and quarkyonic phase
• 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
• The phase diagram of QCD with four degenerate quarks
• Anomaly matching in QCD thermal phase transition
• Roberge-Weiss endpoint and chiral symmetry restoration in $N_f=2+1$ QCD
• Quark number densities at imaginary chemical potential in $N_f=2$ lattice QCD with Wilson fermions and its model analyses
• Phase structure of two-color QCD at real and imaginary chemical potentials; lattice simulations and model analyses
• Gauge-invariant screening masses and static quark free energies in $N_f=2+1$ QCD at non-zero baryon density
• Two-color QCD at imaginary chemical potential and its impact on real chemical potential
• Dependence of the static quark free energy on ${\mu }_B$ and the crossover temperature of $N_f=2+1$ QCD
• Phases and properties of quark matter
• Towards extremely dense matter on the lattice
• Classification of sign-problem-free relativistic fermions on the basis of the Majorana positivity
• INFN What Next: Ultra-relativistic Heavy-Ion Collisions
• Analytic continuation in two-color QCD: new results on the critical line
• Two-flavor QCD at finite quark or isospin density
• The curvature of the pseudo-critical line in the QCD phase diagram from mesonic lattice correlation functions
• Phase diagram of QCD with two degenerate staggered quarks
• Hadronic fluctuations and correlations at nonzero chemical potential
• The critical line of QCD with four degenerate quarks
• On the analytic continuation of the critical line
• Analytic continuation in QCD-like theories at finite density and finite isospin