Analytic continuation of the critical line: suggestions for QCD

Abstract

We perform a numerical study of the systematic effects involved in the determination of the critical line at real baryonic chemical potential by analytic continuation from results obtained at imaginary chemical potentials. We present results obtained in theories free of the sign problem, such as two-color QCD with finite baryonic density and three-color QCD with finite isospin chemical potential, and comment on general features which could be relevant also to the continuation of the critical line in real QCD at finite baryonic density.

12 pages, 13 figures, 7 tables (revised version accepted by Phys. Rev. D80, 034501(2009))

References in corpus (23)

• The QCD phase diagram for small densities from imaginary chemical potential
• On the Phase Diagram of QCD
• QCD at finite isospin density
• Finite density QCD via imaginary chemical potential
• The QCD Phase Diagram for Three Degenerate Flavors and Small Baryon Density
• The chiral critical line of N_f=2+1 QCD at zero and non-zero baryon density
• Lattice QCD at finite isospin density at zero and finite temperature
• Imaginary chemical potential and finite fermion density on the lattice
• QCD thermodynamics from an imaginary mu_B: results on the four flavor lattice model
• The chiral critical point of Nf=3 QCD at finite density to the order (mu/T)^4
• The strongly interacting Quark Gluon Plasma, and the critical behaviour of QCD at imaginary chemical potential
• Thermodynamics of two flavor QCD from imaginary chemical potentials
• Phase structure of lattice QCD with two flavors of Wilson quarks at finite temperature and chemical potential
• Phase diagram of QCD at finite temperature and chemical potential from lattice simulations with dynamical Wilson quarks
• The Four-Fermi Model in Three Dimensions at Non-Zero Density and Temperature
• Testing imaginary vs. real chemical potential in finite-temperature QCD
• How to get from imaginary to real chemical potential
• Phase diagram of QCD with four quark flavors at finite temperature and baryon density
• Analytic continuation from imaginary to real chemical potential in two-color QCD
• Real and imaginary chemical potential in 2-color QCD
• The critical line from imaginary to real baryonic chemical potentials in two-color QCD
• Imaginary chemical potentials and the phase of the fermionic determinant
• Finite temperature 2-color QCD for real and imaginary chemical potential

Cited by in corpus (52)

• Lattice QCD equation of state at finite chemical potential from an alternative expansion scheme
• Curvature of the chiral pseudo-critical line in QCD: continuum extrapolated results
• Finite-density lattice QCD and sign problem: current status and open problems
• On the phase structure and thermodynamics of QCD
• Curvature of the pseudocritical line in QCD: Taylor expansion matches analytic continuation
• Entanglement between deconfinement transition and chiral symmetry restoration
• The order of the Roberge-Weiss endpoint (finite size transition) in QCD
• The chiral phase transition in two-flavor QCD from imaginary chemical potential
• Higher order quark number fluctuations via imaginary chemical potentials in $N_f=2+1$ QCD
• Critical line of 2+1 flavor QCD: Toward the continuum limit
• The critical line of two-flavor QCD at finite isospin or baryon densities from imaginary chemical potentials
• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• On the critical line of 2+1 flavor QCD
• Theta dependence of the deconfinement temperature in Yang-Mills theories
• The Roberge-Weiss endpoint in N_f = 2 QCD
• The Critical End Point of Quantum Chromodynamics Detected by Chirally Imbalanced Quark Matter
• 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
• Roberge-Weiss endpoint at the physical point of $N_f=2+1$ QCD
• Phase diagram of Yang-Mills theories in the presence of a theta term
• QCD phase diagram at finite baryon and isospin chemical potentials
• Phase transitions and gluodynamics in 2-colour matter at high density
• Quark-mass dependence of the three-flavor QCD phase diagram at zero and imaginary chemical potential: Model prediction
• Confinement and Z_3 symmetry in three-flavor QCD
• The phase diagram of QCD with four degenerate quarks
• Anomaly matching in QCD thermal phase transition
• Equation of state in the PNJL model with the entanglement interaction
• Roberge-Weiss endpoint and chiral symmetry restoration in $N_f=2+1$ QCD
• QCD phase diagram at imaginary baryon and isospin chemical potentials
• Theta vacuum effects on QCD phase diagram
• Role of mesonic fluctuations in the Polyakov loop extended quark-meson model at imaginary chemical potential
• Quark number densities at imaginary chemical potential in $N_f=2$ lattice QCD with Wilson fermions and its model analyses
• Probing deconfinement in a chiral effective model with Polyakov loop at imaginary chemical potential
• Possibility of QCD critical point sweep during black hole formation
• Apparent convergence of Padé approximants for the crossover line in finite density QCD
• Thermal equation of state of polarized fermions in one dimension via complex chemical potentials
• Violations of parity and charge conjugation in the theta vacuum with imaginary chemical potential
• Two-color QCD at imaginary chemical potential and its impact on real chemical potential
• Gauge-invariant screening masses and static quark free energies in $N_f=2+1$ QCD at non-zero baryon density
• Localization properties of Dirac modes at the Roberge-Weiss phase transition
• Spontaneous parity and charge-conjugation violations at real isospin and imaginary baryon chemical potentials
• Dependence of the static quark free energy on ${\mu }_B$ and the crossover temperature of $N_f=2+1$ QCD
• Classification of sign-problem-free relativistic fermions on the basis of the Majorana positivity
• Towards extremely dense matter on the lattice
• Complex singularities around the QCD critical point at finite densities
• INFN What Next: Ultra-relativistic Heavy-Ion Collisions
• Phase diagram of QCD with two degenerate staggered quarks
• The curvature of the pseudo-critical line in the QCD phase diagram from mesonic lattice correlation functions
• Two-flavor QCD at finite quark or isospin density
• Properties of 2+1-flavor QCD in the imaginary chemical potential region: model prediction
• The critical line of QCD with four degenerate quarks
• Analytic continuation in QCD-like theories at finite density and finite isospin