Quark droplets in the NJL mean field

Buballa, Michael; Oertel, Micaela

doi:10.1016/s0375-9474(98)00496-5

Cited by 36 publications

(37 citation statements)

References 17 publications

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“…The equilibrium configuration for densities 0 < ρ B < ρ cr B is, therefore, a mixed phase. In view of the behavior above described, we can conclude that, for T = 0, the uniform non-zero density phase will break up into stable droplets, with zero pressure and density ρ cr B = 2.36ρ 0 , in which chiral symmetry is partially restored, surrounded by a nontrivial vacuum with ρ B = P = 0 (see also [36,[107][108][109][110][111]). In fact, for our choice of the parameters the critical point at T = 0 satisfies to the condition µ i < M vac i [36,112], where M …”

Section: Phase Diagram and The Location Of The Critical End Pointmentioning

confidence: 96%

Phase Diagram and Critical Properties within an Effective Model of QCD: The Nambu–Jona-Lasinio Model Coupled to the Polyakov Loop

et al. 2010

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We investigate the phase diagram of the so-called Polyakov-Nambu-Jona-Lasinio model at finite temperature and non-zero chemical potential with three quark flavors. Chiral and deconfinement phase transitions are discussed and the relevant order-like parameters are analyzed. The results are compared with simple thermodynamic expectations and lattice data. We present the phase diagram in the (T, µ B ) plane, paying special attention to the critical end point: as the strength of the flavor-mixing interaction becomes weaker, the critical end point moves to low temperatures and can even disappear.

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Section: Phase Diagram and The Location Of The Critical End Pointmentioning

confidence: 96%

Phase Diagram and Critical Properties within an Effective Model of QCD: The Nambu–Jona-Lasinio Model Coupled to the Polyakov Loop

et al. 2010

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“…As discussed by several authors, this version of the NJL model exhibits, at T = 0 MeV a first order phase transition [15,16,22].…”

Section: Phase Transitionmentioning

confidence: 97%

“…To calculate the physical observables we introduce the cut -off parameter Λ. Putting the integrals to (22) we may calculate M η . But, since NJL does not confine the quarks and the η ′ is above theq u q u andq d q d continuum, the meson propagator (23) has complex poles.…”

Section: Model and Formalismmentioning

confidence: 99%

“…At finite temperature we conclude that for T < 56 MeV we still have a first order phase transition, but for T > T cl = 56 MeV the phase transition is of second order. Below this temperature there is a range of densities (ρ n < 2.25ρ 0 ) where the pressure and/or the compressibility are negative meaning that the system is in a mixing phase: a low density (ρ l n ) phase with massive quarks and a high density (ρ cr n ) phase with light quarks of (partially) restored chiral symmetry (see also [15,16,22]). …”

Section: Phase Transitionmentioning

confidence: 99%

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η − ηʹ in a hot and dense medium

Costa¹,

Ruivo²,

Kalinovsky³

2003

AIP Conference Proceedings

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The behavior of η and η ′ in hot strange quark matter in weak equilibrium with temperature, is investigated within the SU(3) Nambu-Jona-Lasinio [NJL] model. Possible manifestations of restoration of symmetries, by temperature or density, in the behavior of η and η ′ are discussed. The role played by the combined effect of temperature and density in the nature of the phase transition and meson behavior is also analyzed.

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“…Well-studied candidates include the 2SC [3,4,13] and CFL [14,15,16] phases of quark matter. At asymptotically high density, the favored phase of quark matter is the CFL phase.…”

Section: Introductionmentioning

confidence: 99%

Single-flavour and two-flavour pairing in three-flavour quark matter

Alford¹,

Cowan²

2006

J. Phys. G: Nucl. Part. Phys.

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We study single-flavour quark pairing ("self-pairing") in colour-superconducting phases of quark matter, paying particular attention to the difference between scenarios where all three flavours undergo single-flavour pairing, and scenarios where two flavours pair with each other ("2SC" pairing) and the remaining flavour self-pairs. We perform our calculations in the mean field approximation using a pointlike four-fermion interaction based on single gluon exchange. We confirm the result from previous weakly-coupled-QCD calculations, that when all three flavours self-pair the favored channel for each is colour-spin-locked (CSL) pseudoisotropic pairing. However, we find that when the up and down quarks undergo 2SC pairing, they induce a colour chemical potential that disfavors the CSL phase. The strange quarks then self-pair in a "polar" channel that breaks rotational invariance, although the CSL phase may survive in a narrow range of densities.

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Quark droplets in the NJL mean field

Abstract: We study the conditions for the existence of stable quark matter in the Nambu-JonaLasinio mean field at zero temperature and discuss its interpretation.

Cited by 36 publications

References 17 publications

Phase Diagram and Critical Properties within an Effective Model of QCD: The Nambu–Jona-Lasinio Model Coupled to the Polyakov Loop

Phase Diagram and Critical Properties within an Effective Model of QCD: The Nambu–Jona-Lasinio Model Coupled to the Polyakov Loop

η − ηʹ in a hot and dense medium

Single-flavour and two-flavour pairing in three-flavour quark matter

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