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Schäfer, Henry

doi:10.1007/978-3-642-59440-3_3

Cited by 14 publications

(21 citation statements)

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“…The latter exponential factor suppresses the instanton excitation significantly. Similarly, at finite density, the exponential suppression factor has been found [57], and after integrating over the instanton size, the suppression factor should be T −14 or µ −14 . In any case these expressions are perturbative ones, and any quantitative estimate is not really trustworthy near T c .…”

Section: U(1) a Symmetry And The Quantum Anomalymentioning

confidence: 83%

The phase diagram of nuclear and quark matter at high baryon density

Fukushima

Sasaki

2013

Progress in Particle and Nuclear Physics

251

186

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We review theoretical approaches to explore the phase diagram of nuclear and quark matter at high baryon density. We first look over the basic properties of quantum chromodynamics (QCD) and address how to describe various states of QCD matter. In our discussions on nuclear matter we cover the relativistic mean-field model, the chiral perturbation theory, and the approximation based on the large-N c limit where N c is the number of colors. We then explain the liquid-gas phase transition and the inhomogeneous meson condensation in nuclear matter with emphasis put on the relevance to quark matter. We commence the next part focused on quark matter with the bootstrap model and the Hagedorn temperature. Then we turn to properties associated with chiral symmetry and exposit theoretical descriptions of the chiral phase transition. There emerge some quark-matter counterparts of phenomena seen in nuclear matter such as the liquid-gas phase transition and the inhomogeneous structure of the chiral condensate. The third regime that is being recognized recently is what is called quarkyonic matter, which has both aspects of nuclear and quark matter. We closely elucidate the basic idea of quarkyonic matter in the large-N c limit and its physics implications. Finally, we discuss some experimental indications for the QCD phase diagram and close the review with outlooks.

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Section: U(1) a Symmetry And The Quantum Anomalymentioning

confidence: 83%

The phase diagram of nuclear and quark matter at high baryon density

Fukushima

Sasaki

2013

Progress in Particle and Nuclear Physics

251

186

View full text Add to dashboard Cite

show abstract

“…It was pointed by Weinberg that in the superconducting system expression for the condensation free energy evaluated on the solution to the gap equation does not depend on the microscopic interaction between particles [28]. Later Schaefer demonstrated that the expression for the free energy of quark matter in the mean field approximation when evaluated on the solution to the gap equation coincides with the expression for free energy of quark matter with colorflavor antisymmetric short range interactions in the mean field approximation (NJL model) [29]. With this in mind, our approximation is equivalent to working in the model with a color-flavor antisymmetric short range interactions (NJL model) in the mean field approximation with a given value of gap parameter [7,29] and the role of gauge fields is only to ensure the gauge charge neutrality of the ground state [30,31].…”

Section: A Setup Approximations and Assumptionsmentioning

confidence: 99%

Spontaneous superfluid current generation in the kaon condensed color flavor locked phase at nonzero strange quark mass

Kryjevski

2008

Phys. Rev. D

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We find that for a large enough strange quark mass, m 2 s /4 µ ∆ > 2/3(1 − 0.023) (µ is the quark number chemical potential, ∆ is the superconducting gap), the kaon condensed CFL phase of asymptotically dense strongly interacting 3 flavor quark matter is unstable with respect to spontaneous generation of currents of Nambu Goldstone bosons due to spontaneous breaking of baryon number symmetry and hypercharge symmetry in the CFLK 0 ground state. The total baryon and hypercharge currents vanish in the ground state. We find that CFLK 0 and the new state are separated by a first order phase transition. The result is derived in the mean field approximation of High Density Effective Theory with electromagnetic interactions turned off.

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“…The phase diagram of quantum chromodynamics (QCD) is expected to contain color-superconducting regimes at sufficiently high densities and low temperatures [1,2,3,4,5,6,7]. Considering three (degenerate) quark flavors, the color-flavor locked (CFL) phase [8] is the ground-state for vanishing temperatures and asymptotically large densities [9,10]. At densities of potential relevance for compact stellar objects it is, however, not obvious how the splitting of Fermi surfaces due to finite quark masses and neutrality constraints is influencing the ground-state [11,12,13].…”

Section: Introductionmentioning

confidence: 99%

Neutrality of the color-flavor-locked phase in a Dyson-Schwinger approach

2008

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The role of neutrality constraints for the phase structure of QCD at non-vanishing chemical potentials is studied within a self-consistent truncation scheme for the Dyson-Schwinger equation of the quark propagator in Landau gauge. We find the (approximate) color-flavor-locked phase to be energetically preferred at all potentially relevant densities and for physical values of the quark masses. We furthermore observe the impossibility to define this phase by residual global symmetries and discuss the role of chemical potentials.

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Cited by 14 publications

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The phase diagram of nuclear and quark matter at high baryon density

The phase diagram of nuclear and quark matter at high baryon density

Spontaneous superfluid current generation in the kaon condensed color flavor locked phase at nonzero strange quark mass

Neutrality of the color-flavor-locked phase in a Dyson-Schwinger approach

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