Electrical neutrality and pion modes in the two flavor PNJL model

Abstract

We study the phase diagram and the pion modes in the electrically neutral two flavor PNJL model. One of the main result of this paper is that when electrical neutrality is required, pions do not condense in the ground state of the model: the isospin chemical potential ${\mu }_I=-{\mu }_e/2$ is always smaller than the value required for pion condensation to occur. Moreover we investigate on the pions and $\sigma$ mass spectra. We find that the qualitative behavior of the masses resembles that obtained in the NJL model. We close this paper by studying the intriguing possibility that a bound state with the quantum numbers of the pions can be formed above the chiral phase transition.

8 pages, 8 figures, RevTeX4 style. One figure added, role of the bare quark mass clarified, some reference added. To appear on Phys. Rev. D

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Cited by in corpus (11)

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• Chiral density waves in the NJL${}_2$ model with quark number and isospin chemical potentials
• Correlations among discontinuities in QCD phase diagram
• On the neutrality issue in the Polyakov-loop NJL model
• Violations of parity and charge conjugation in the theta vacuum with imaginary chemical potential
• Probing the QCD vacuum with an abelian chromomagnetic field: A study within an effective model
• A PNJL model in 0+1 Dimensions
• Polyakov-Nambu-Jona Lasinio model and Color-Flavor-Locked phase of QCD
• Phase diagram and pion modes of the neutral Nambu-Jona Lasinio model with the Polyakov loop