Meson mass at real and imaginary chemical potentials

Abstract

The chemical-potential dependence of pi and sigma meson masses is analyzed at both real and imaginary chemical potentials, ${\mu }_{\mathrm{R}}$ and ${\mu }_{\mathrm{I}}$, by using the Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model that possesses both the extended ${\mathbb{Z}}_3$ symmetry and the chiral symmetry. In the ${\mu }_{\mathrm{I}}$ region, the meson masses have the Roberge-Weiss periodicity. Assuming that the meson masses will be measured at finite ${\mu }_{\mathrm{I}}$ by lattice QCD in future, we simulate how meson masses at finite ${\mu }_{\mathrm{R}}$ are extracted from those at finite ${\mu }_{\mathrm{I}}$, and propose a reliable extraction method.

8 pages, 6 figures, typo corrected, some discussions clarified, version accepted for publication in Phys. Rev. D

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Cited by in corpus (23)

• Fermion Interactions and Universal Behavior in Strongly Interacting Theories
• Entanglement between deconfinement transition and chiral symmetry restoration
• Nonlocal Polyakov-Nambu-Jona-Lasinio model and imaginary chemical potential
• Roberge-Weiss phase transition and its endpoint
• QCD phase diagram at finite baryon and isospin chemical potentials
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• Dual quark condensate in the Polyakov-loop extended Nambu--Jona-Lasinio model
• Equation of state in the PNJL model with the entanglement interaction
• Holographic Roberge-Weiss Transitions
• QCD phase diagram at imaginary baryon and isospin chemical potentials
• Correlations among discontinuities in QCD phase diagram
• Theta vacuum and entanglement interaction in the three-flavor Polyakov-loop extended Nambu-Jona-Lasinio model
• Dynamical Locking of the Chiral and the Deconfinement Phase Transition in QCD
• The Roberge-Weiss transition and 't Hooft loops
• Topological feature and phase structure of QCD at complex chemical potential
• Phase structure of two-color QCD at real and imaginary chemical potentials; lattice simulations and model analyses
• Average phase factor in the PNJL model
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• Impact of vector-current interactions on the QCD phase diagram
• Spontaneous parity and charge-conjugation violations at real isospin and imaginary baryon chemical potentials
• Investigation of meson masses for real and imaginary chemical potential