Electrical neutrality and pion modes in the two flavor Polyakov-Nambu-Jona-Lasinio model

Journal Article · Tue Jul 01 04:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.014002· OSTI ID:21250208

Abuki, H ^[1]; Ciminale, M; Ippolito, N D; Nardulli, G; Ruggieri, M ^[1]; Gatto, R ^[2]

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1. I.N.F.N., Sezione di Bari, I-70126 Bari (Italy)
2. Departement de Physique Theorique, Universite de Geneve, CH-1211 Geneve 4 (Switzerland)

We study the phase diagram and the pion modes in the electrically neutral two flavor Polyakov-Nambu-Jona-Lasinio model. One of the main results of this paper is that in the model with massive quarks, when electrical neutrality is required, pions do not condense in the ground state of the model: the isospin chemical potential {mu}{sub I}=-{mu}{sub 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 Nambu-Jona-Lasinio model. We close this paper by studying the intriguing possibility that bound states with the quantum numbers of the pions can be formed above the chiral phase transition.

• OSTI ID: 21250208
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 1 Vol. 78; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
CHIRALITY
FLAVOR MODEL
GROUND STATES
ISOSPIN
MASS
MASS SPECTRA
PHASE DIAGRAMS
PHASE TRANSFORMATIONS
PION CONDENSATION
PIONS
QUANTUM NUMBERS
QUARKS
SIMULATION