Chiral phase transition in an extended NJL model with higher-order multi-quark interactions

Kashiwa, Kouji; Kouno, Hiroaki; Sakaguchi, Tomohiko; Matsuzaki, Masayuki; Yahiro, Masanobu

doi:10.1016/j.physletb.2007.01.061

Cited by 78 publications

(125 citation statements)

References 35 publications

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“…In this work we use the parameter set of Kashiwa et al (2007), g 20 = 2.104, g 40 = 3.069, m = 5.5 MeV, and Λ = 631.5 MeV. Furthermore, the vector channel strengths are quantified by the ratios…”

Section: Njl Model With 8-quark Interactionsmentioning

confidence: 99%

A new quark-hadron hybrid equation of state for astrophysics

Benić

Blaschke

Alvarez-Castillo

et al. 2015

A&A

263

288

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Aims. We present a new microscopic hadron-quark hybrid equation of state model for astrophysical applications, from which compact hybrid star configurations are constructed. These are composed of a quark core and a hadronic shell with a first-order phase transition at their interface. The resulting mass-radius relations are in accordance with the latest astrophysical constraints. Methods. The quark matter description is based on a quantum chromodynamics (QCD) motivated chiral approach with higher-order quark interactions in the Dirac scalar and vector coupling channels. For hadronic matter we select a relativistic mean-field equation of state with density-dependent couplings. Since the nucleons are treated in the quasi-particle framework, an excluded volume correction has been included for the nuclear equation of state at suprasaturation density which takes into account the finite size of the nucleons. Results. These novel aspects, excluded volume in the hadronic phase and the higher-order repulsive interactions in the quark phase, lead to a strong first-order phase transition with large latent heat, i.e. the energy-density jump at the phase transition, which fulfils a criterion for a disconnected third-family branch of compact stars in the mass-radius relationship. These twin stars appear at high masses (∼2 M ) that are relevant for current observations of high-mass pulsars.Conclusions. This analysis offers a unique possibility by radius observations of compact stars to probe the QCD phase diagram at zero temperature and large chemical potential and even to support the existence of a critical point in the QCD phase diagram.

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Section: Njl Model With 8-quark Interactionsmentioning

confidence: 99%

A new quark-hadron hybrid equation of state for astrophysics

Benić

Blaschke

Alvarez-Castillo

et al. 2015

A&A

263

288

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“…We MeV and the sigma meson mass M σ = 600 MeV (650 MeV) [10]. It should be noted that larger G s8 yields smaller M σ .…”

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confidence: 93%

“…Meanwhile, it was recently reported that the vector type interaction [10,23,24,25] is necessary to realize the heavy neutron star [26]. This may indicate that the vector type interaction is necessary in the finite µ region of the phase diagram.…”

mentioning

confidence: 99%

“…The model we consider here is the following two-flavor PNJL model with the vector type interaction [10,23,24,25] and the σ 4 interaction [10,27,28,29,30]…”

mentioning

confidence: 99%

“…Therefore, we can not ignore higher multi-quark interactions in general. As a starting point, we take into account the scalar type eightquark (σ 4 ) interaction that is known to affect the position of the CEP [10]. Using the usual techniques [31,32], one can obtain the thermodynamical potential…”

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confidence: 99%

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Critical endpoint in the Polyakov-loop extended NJL model

et al. 2008

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The critical endpoint (CEP) and the phase structure are studied in the Polyakov-loop extended Nambu-Jona-Lasinio model in which the scalar type eight-quark (σ 4 ) interaction and the vector type four-quark interaction are newly added. The σ 4 interaction largely shifts the CEP toward higher temperature and lower chemical potential, while the vector type interaction does oppositely.At zero chemical potential, the σ 4 interaction moves the pseudo-critical temperature of the chiral phase transition to the vicinity of that of the deconfinement phase transition.

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Quark Matter in a Strong Magnetic Background

Gatto

Ruggieri

2013

Strongly Interacting Matter in Magnetic Fields

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In this chapter, we discuss several aspects of the theory of strong interactions in presence of a strong magnetic background. In particular, we summarize our results on the effect of the magnetic background on chiral symmetry restoration and deconfinement at finite temperature. Moreover, we compute the magnetic susceptibility of the chiral condensate and the quark polarization at zero temperature. Our theoretical framework is given by chiral models: the Nambu-Jona-Lasinio (NJL), the Polyakov improved NJL (or PNJL) and the Quark-Meson (QM) models. We also compare our results with the ones obtained by other groups.

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Chiral phase transition in an extended NJL model with higher-order multi-quark interactions

Cited by 78 publications

References 35 publications

A new quark-hadron hybrid equation of state for astrophysics

A new quark-hadron hybrid equation of state for astrophysics

Critical endpoint in the Polyakov-loop extended NJL model

Quark Matter in a Strong Magnetic Background

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