Enforced neutrality and color-flavor unlocking in the three-flavor Polyakov-loop Nambu-Jona-Lasinio model

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

DOI:https://doi.org/10.1103/PHYSREVD.77.074018· OSTI ID:21249943

Abuki, H ^[1]; Ciminale, M; 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 how the charge neutrality affects the phase structure of the three-flavor Polyakov-loop Nambu-Jona-Lasinio (PNJL) model. We point out that, within the conventional PNJL model at finite density, the color neutrality is missing because the Wilson line serves as an external colored field coupled to dynamical quarks. In this paper we heuristically assume that the model may still be applicable. To get color neutrality, one has then to allow nonvanishing color chemical potentials. We study how the quark matter phase diagram in (T,m{sub s}{sup 2}/{mu})-plane is affected by imposing neutrality and by including the Polyakov-loop dynamics. Although these two effects are correlated in a nonlinear way, the impact of the Polyakov loop turns out to be significant in the T direction, while imposing neutrality brings a remarkable effect in the m{sub s}{sup 2}/{mu} direction. In particular, we find a novel unlocking transition, when the temperature is increased, even in the chiral SU(3) limit. We clarify how and why this is possible once the dynamics of the colored Polyakov loop is taken into account. Also we succeed in giving an analytic expression for T{sub c} for the transition from two-flavor pairing (2SC) to unpaired quark matter in the presence of the Polyakov loop.

• OSTI ID: 21249943
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 7 Vol. 77; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRALITY
COLOR MODEL
DENSITY
FLAVOR MODEL
NONLINEAR PROBLEMS
PHASE DIAGRAMS
QUARK MATTER
QUARKS
SU-3 GROUPS
TRANSITION TEMPERATURE