Two-color QCD at imaginary chemical potential and its impact on real chemical potential

Abstract

We study properties of two-color QCD at imaginary chemical potential ($\mu$) from the viewpoint of the Roberge-Weiss (RW) periodicity, the charge conjugation and the pseudo-reality. At $\mu =\pm i\pi T/2$, where $T$ is temperature, the system is symmetric under the combination of the charge conjugation $\mathcal{C}$ and the ${\mathbb{Z}}_2$ transformation. The symmetry, called $\mathcal{C}{\mathbb{Z}}_2$ symmetry, is preserved at lower $T$ but broken at higher $T$. The Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model has the same properties as two-color QCD for $\mathcal{C}{\mathbb{Z}}_2$ symmetry and the pseudo-reality. The nontrivial correlation between the chiral restoration and the deconfinement are investigated by introducing the entanglement vertex in the PNJL model. The order of $\mathcal{C}{\mathbb{Z}}_2$ symmetry breaking at the RW endpoint is second-order when the correlation is weak, but becomes first-order when the correlation is strong. We also investigate the impact of the correlation on the phase diagram at real $\mu$.

arXiv comment10 pages, 9 figures, 3 tables

References in corpus (29)

• Chiral effective model with the Polyakov loop
• Phases of QCD: lattice thermodynamics and a field theoretical model
• QCD-like Theories at Finite Baryon Density
• Constraining the QCD phase diagram by tricritical lines at imaginary chemical potential
• Two-colour QCD at non-zero quark-number density
• Dynamics and thermodynamics of a nonlocal Polyakov--Nambu--Jona-Lasinio model with running coupling
• Entanglement between deconfinement transition and chiral symmetry restoration
• The order of the Roberge-Weiss endpoint (finite size transition) in QCD
• Polyakov loop extended NJL model with imaginary chemical potential
• Toward a first-principle derivation of confinement and chiral-symmetry-breaking crossover transitions in QCD
• Nonlocal SU(3) chiral quark models at finite temperature: the role of the Polyakov loop
• Two-color quark matter: U(1)_A restoration, superfluidity, and quarkyonic phase
• Analytic continuation of the critical line: suggestions for QCD
• Chiral phase transition in an extended NJL model with higher-order multi-quark interactions
• The Roberge-Weiss endpoint in N_f = 2 QCD
• Nonlocal Polyakov-Nambu-Jona-Lasinio model and imaginary chemical potential
• Roberge-Weiss phase transition and its endpoint
• Analytic continuation from imaginary to real chemical potential in two-color QCD
• Quark-mass dependence of the three-flavor QCD phase diagram at zero and imaginary chemical potential: Model prediction
• Effects of mesonic correlations in the QCD phase transition
• Extensions and further applications of the nonlocal Polyakov--Nambu--Jona-Lasinio model
• Real and imaginary chemical potential in 2-color QCD
• The critical line from imaginary to real baryonic chemical potentials in two-color QCD
• Deconfinement and chiral restoration in nonlocal PNJL models at zero and imaginary chemical potential
• QCD phase diagram at imaginary baryon and isospin chemical potentials
• Correlations among discontinuities in QCD phase diagram
• Probing deconfinement in a chiral effective model with Polyakov loop at imaginary chemical potential
• Discontinuity Theorem for First Order Phase Transitions. Implications for QCD
• Analytic continuation in two-color QCD: new results on the critical line

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• Two-color QCD in a strong magnetic field: The role of the Polyakov loop
• The Roberge-Weiss transition and 't Hooft loops
• Phase structure of two-color QCD at real and imaginary chemical potentials; lattice simulations and model analyses
• Themodynamics for pure SU($2$) gauge theory using gradient flow
• 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
• Finite-Density Massless Two-Color QCD at Isospin Roberge-Weiss Point and 't Hooft Anomaly
• Multiplicity, probabilities, and canonical sectors for the cold QCD matter
• Roberge-Weiss periodicity, canonical sector and modified Polyakov-loop