The dual quark condensate in local and nonlocal NJL models: An order parameter for deconfinement?

Márquez, Federico; Ahmad, Aftab; Buballa, Michael; Raya, Alfredo

doi:10.1016/j.physletb.2015.06.031

Cited by 19 publications

(15 citation statements)

References 47 publications

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“…Therefore, there is the uncertainty in the determination of the dual quark condensate. Also, it is well known that the dual quark condensate is strongly affected by the chiral transition or some other transitions [31][32][33]. On the other hand, the quark number holonomy (3) can provide nonzero value above T RW or T Beard without any uncertainties.…”

Section: Discussionmentioning

confidence: 99%

Quark number holonomy and confinement-deconfinement transition

Kashiwa

Ohnishi

2016

Phys. Rev. D

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We propose a new quantity which describes the confinement-deconfinement transition based on topological properties of QCD. The quantity which we call the quark number holonomy is defined as the integral of the quark number susceptibility along the closed loop of θ where θ is the dimensionless imaginary chemical potential. The expected behavior of the quark number holonomy at finite temperature is discussed, and its asymptotic behaviors are shown.

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Section: Discussionmentioning

confidence: 99%

Quark number holonomy and confinement-deconfinement transition

Kashiwa

Ohnishi

2016

Phys. Rev. D

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“…Recently, it is demonstrated in the NJL model that the rapid rise of DPL near T c is totally driven by the chiral transition [14]. The following study based on several variants of NJL with (possible) confining elements suggests that the rapid rise of DPL with T still happens in the chiral transition region and no effect related to the change of the confining properties of the propagator is observed [15]. The authors thus conclude that the DPL obtained in these models is not an appropriate order parameter for deconfinement.…”

Section: Introductionmentioning

confidence: 86%

Effect of entanglement on dual condensates at finite isospin chemical potential from an entangled Polyakov-Nambu-Jona-Lasinio model

Zhang

Qing

2016

EPJ Web Conf.

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Abstract. The dual observables as order parameters for deconfinement transition are investigated at finite isospin chemical potential μ I in an entangled Polyakov-Nambu-Jona-Lasinio model of QCD. Compared to PNJL, the four quark vertice with entanglement between the Polyakov loop and the chiral and pion condensates are considered in this model. We mainly concentrate on the role of this entanglement on the thermal behavior of the dressed polyakov loop and the dual pion condensate for μI > mπ/2. We find that the T -dependences of these dual condensates are qualitatively consistent with the PNJL results. Due to the entanglement, the critical temperatures determined by the quark and pion condensates and their corresponding dual partners get close to that extracted from the Polyakov loop.

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“…In the present work, we use the quark-antiquark condensate ψ ψ , an order parameters for the chiral symmetry breaking-restoration and the confinement length scale [17,41] for the confinementdeconfinement transitions. It is to be noted that the chiral symmetry restoration and deconfinement occur simultaneously in this model [17,42]. This article is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

Chiral Symmetry Restoration and Deconfinement in the Contact Interaction Model of Quarks with a Parallel Electric and Magnetic Fields

Ahmad

2020

Preprint

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We study the impact of steady, homogeneous, and external parallel electric and magnetic field strength (eE eB), on the chiral symmetry breaking-restoration and confinement-deconfinement phase transitions. We also sketch the phase diagram of quantum chromodynamics (QCD) at finite temperature T and in the presence of background fields. Our unified formalism for this study is based on the Schwinger-Dyson equations, symmetry preserving vector-vector contact interaction model of quarks, and the proper time regularization scheme. At T = 0, in the purely magnetic case (eE → 0), we observe the well known magnetic catalysis effect. On the other hand, in the pure electric field background (eB → 0), the electric field tends to restore the chiral symmetry and deconfinement above the pseudo-critical electric field eE χ,C c . In the presence of both eE and eB: we find the magnetic catalysis effect in the particular region where eB dominates over eE, whereas, we observe the chiral inhibition (or electric chiral rotation) effect, when eE stand over eB. At finite T , in the pure electric field case, the phenomenon of inverse electric catalysis appears to exist in our model. On the other hand for pure magnetic field background, we notice the magnetic catalysis effect in the mean-field approximation and inverse magnetic catalysis with eB-dependent coupling. The combined effect of both eE and eB on the pseudo-critical T χ,C c yields the inverse electromagnetic catalysis, with and without eB−dependent effective coupling of the model. Our findings are satisfactory in agreement with already predicted results by lattice simulations and other reliable effective models of QCD.

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The dual quark condensate in local and nonlocal NJL models: An order parameter for deconfinement?

Cited by 19 publications

References 47 publications

Quark number holonomy and confinement-deconfinement transition

Quark number holonomy and confinement-deconfinement transition

Effect of entanglement on dual condensates at finite isospin chemical potential from an entangled Polyakov-Nambu-Jona-Lasinio model

Chiral Symmetry Restoration and Deconfinement in the Contact Interaction Model of Quarks with a Parallel Electric and Magnetic Fields

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