Phase diagram of neutral quark matter: The effect of neutrino trapping

Rüster, Stefan B.; Werth, Verena; Buballa, Michael; Shovkovy, Igor; Rischke, Dirk H.

doi:10.1103/physrevd.73.034025

Cited by 55 publications

(90 citation statements)

References 59 publications

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“…When we vary M s at fixed µ we find the gCFL region is 47 MeV < M 2 s /µ < 130 MeV. At the upper limit there is a convergence of the free energies of g2SC, gCFL, and unpaired quark matter, so there is a first-order transition from gCFL to unpaired, with a possible window of g2SC 10 . We have performed calculations of the various possible mixtures.…”

Section: Mixed Phasesmentioning

confidence: 98%

Gapless CFL and Its Competition With Mixed Phases

Alford¹,

Kouvaris²,

Rajagopal³

2005

Strong and Electroweak Matter 2004

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We recently argued that as the density of quark matter decreases, there is a continuous transition from the color-flavor-locked (CFL) phase to a gapless "gCFL" phase. The reason is the growing importance of the strange quark mass, and the constraint of electric/color neutrality. In this paper we discuss mixed phases that achieve neutrality by charge separation, and might offer an alternative to the gCFL phase. We find that none of the obvious mixtures is favored relative to gCFL.

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Section: Mixed Phasesmentioning

confidence: 98%

Gapless CFL and Its Competition With Mixed Phases

Alford¹,

Kouvaris²,

Rajagopal³

2005

Strong and Electroweak Matter 2004

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“…3(a)). When the temperature is increased from T = 0, the first qualitative change occurs at T ∼ 15.8 MeV where one of the db-sg dispersion becomes gapless and the gCFL 8 phase (gCFL in [31]) sets in. Unlike the gCFL phase at T = 0, the ub-sr dispersion does not become gapless at this point.…”

Section: (B) Fig 3(c) Is Just An Enlargement Of (B)mentioning

confidence: 99%

Extensive study of phase diagram for charge-neutral homogeneous quark matter affected by dynamical chiral condensation: unified picture for thermal unpairing transitions from weak to strong coupling

2006

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We study the phase structures of charge neutral quark matter under the β-equilibrium for a wide range of the quark-quark coupling strength within a four-Fermion model. A comprehensive and unified picture for the phase transitions from weak to strong coupling is presented. We first develop a technique to deal with the gap equation and neutrality constraints without recourse to numerical derivatives, and show that the off-diagonal color densities automatically vanish with the standard assumption for the diquark condensates. The following are shown by the numerical analyses: (i) The thermally-robustest pairing phase is the two-flavor pairing (2SC) in any coupling case, while the second one for relatively low density is the up-quark pairing (uSC) phase or the color-flavor locked (CFL) phase depending on the coupling strength and the value of strange quark mass. (ii) If the diquark coupling strength is large enough, the phase diagram is much simplified and is free from the instability problems associated with imaginary Meissner masses in the gapless phases. (iii) The interplay between the chiral and diquark dynamics may bring a non-trivial first order transition even in the pairing phases at high density. We confirm (i) also by using the Ginzburg-Landau analysis expanding the pair susceptibilities up to quartic order in the strange quark mass. We obtain the analytic expression for the doubly critical density where the two lines for the second order phase transitions merge, and below which the down-quark pairing (dSC) phase is taken over by the uSC phase. Also we study how the phase transitions from fully gapped states to partially ungapped states are smeared at finite temperature by introducing the order parameters for these transitions.

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“…However, some authors discuss the NJL model with a different diquark coupling constant (see for example Ref. [22] for a comparison).…”

Section: The Njl Modelmentioning

confidence: 99%

“…For example, to enforce electric and color neutrality and weak equilibrium in compact stars different flavor and color chemical potentials have been introduced [13,14]. This gives rise to a more complicated phase diagram in which one also finds new 2SC-like [15] and gapless superconducting phases [16,17,18,19,20,21,22,23]. Similarly, in heavyion collisions, a difference between the quark chemical potentials arises if the number densities of the different quark flavors are not the same.…”

Section: Introductionmentioning

confidence: 99%