SU(3) Polyakov linear-sigma model with finite isospin asymmetry: QCD phase diagram

Tawfik, A.; Diab, Abdel Magied; Ghoneim, M. T.; Anwer, Hisham

doi:10.1142/s0217751x19501999

Cited by 16 publications

(13 citation statements)

References 90 publications

(118 reference statements)

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“…and one can see that the TDP (15) in this case is invariant with respect to the following transformation…”

Section: Other Dualitiesmentioning

confidence: 82%

“…Finite baryon density QCD has piqued huge interest in nuclear physics, high energy physics and even astrophysics. It is excepted that QCD has a very rich phase structure in (T, µ) parameter space [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18], and there are several heavy-ion collision experiments such as NICA, FAIR, RHIC (BES II), J-PARC, HIAF that will elucidate the properties of dense QCD matter in the near future. Especially awaited is the NICA (Nuclotron-based Ion Collider fAility) complex that is now under construction at the Joint Institute for Nuclear Research (Dubna, Russia) [19].…”

Section: Introductionmentioning

confidence: 99%

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Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities

2020

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Recently it has been found that quantum chromodynamics (QCD) phase diagram possesses a duality between chiral symmetry breaking and pion condensation. For the first time this was revealed in the QCD motivated toy model. Then it was demonstrated in effective models as well and new additional dualities being found. We briefly recap the main features of this story and then discuss its applications as a tool to explore the QCD phase structure. The most appealing application is the possibility of getting the results on the QCD phase diagram at large baryon density. Taking the idea from large 1/Nc universalities it was argued that the scenario of circumventing the sign problem with the help of dualities seems plausible. It is also discussed that there is a persistent problem about whether there should be catalysis or anti-catalysis of chiral symmetry breaking by chiral imbalance. One can probably say that the issue is settled after lattice results (first principle approach), where the catalysis was observed. But they used an unphysically large pion mass so it is still interesting to get additional indications that this is the case. It is shown just by the duality property that there exists catalysis of chiral symmetry breaking. So, having in mind our results and the earlier lattice simulations, one can probably claim that this issue is settled. It is demonstrated that the duality can be used to obtain new results. As an example, it is showcased how the phase structure of dense quark matter with chiral imbalance (with possibility of inhomogeneous phases) can be obtained from the knowledge of a QCD phase diagram with isopin asymmetry.

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“…and one can see that the TDP (15) in this case is invariant with respect to the following transformation…”

Section: Other Dualitiesmentioning

confidence: 82%

Section: Introductionmentioning

confidence: 99%

Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities

2020

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“…where the σ -field coupled through Yukawa coupling g and the subscript l being the degenerate light up and down quarks. The SU(3) Polyakov linear-sigma model (PLSM) in mean-field approximation is utilized in analyzing the thermodynamic properties of quark matter in thermal and dense QCD medium at finite isospin asymmetry in [75]. -At finite magnetic background (eB = 0) where the magnetic field B = Bê z , all the spin directions should be aligned in parallel with the magnetic field, and the momentum directions are only determined according to chirality.…”

Section: Mean-field Approximationmentioning

confidence: 99%

Chiral magnetic properties of QCD phase-diagram

Tawfik

Diab

2021

Eur. Phys. J. A

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The QCD phase-diagram is studied, at finite magnetic field. Our calculations are based on the QCD effective model, the SU(3) Polyakov linear-sigma model (PLSM), in which the chiral symmetry is integrated in the hadron phase and in the parton phase, the up-, down- and strange-quark degrees of freedom are incorporated besides the inclusion of Polyakov loop potentials in the pure gauge limit, which are motivated by various underlying QCD symmetries. The Landau quantization and the magnetic catalysis are implemented. The response of the QCD matter to an external magnetic field such as magnetization, magnetic susceptibility and permeability has been estimated. We conclude that the parton phase has higher values of magnetization, magnetic susceptibility, and permeability relative to the hadron phase. Depending on the contributions to the Landau levels, we conclude that the chiral magnetic field enhances the chiral quark condensates and hence the chiral QCD phase-diagram, i.e. the hadron-parton phase-transition likely takes place, at lower critical temperatures and chemical potentials.

show abstract

“…where the σ-field coupled through Yukawa coupling g and the subscript l being the degenerate light up and down quarks. The SU(3) Polyakov linear-sigma model (PLSM) in mean-field approximation is utilized in analyzing the thermodynamic properties of quark matter in thermal and dense QCD medium at finite isospin asymmetry in [75]. -At finite magnetic background (eB = 0) where the magnetic field B = B êz , all the spin directions should be aligned in parallel with the magnetic field, and the momentum directions are only determined according to chirality.…”

Section: Mean-field Approximationmentioning

confidence: 99%

Chiral magnetic properties of QCD phase-diagram

Tawfik,

Diab

2021

Preprint

Self Cite

View full text Add to dashboard Cite

The QCD phase-diagram is studied, at finite magnetic field. Our calculations are based on the QCD effective model, the SU(3) Polyakov linear-sigma model (PLSM), in which the chiral symmetry is integrated in the hadron phase and in the parton phase, the up-, down-and strange-quark degrees of freedom are incorporated besides the inclusion of Polyakov loop potentials in the pure gauge limit, which are motivated by various underlying QCD symmetries. The Landau quantization and the magnetic catalysis are implemented. The response of the QCD matter to an external magnetic field such as magnetization, magnetic susceptibility and permeability has been estimated. We conclude that the parton phase has higher values of magnetization, magnetic susceptibility, and permeability relative to the hadron phase. Depending on the contributions to the Landau levels, we conclude that the chiral magnetic field enhances the chiral quark condensates and hence the chiral QCD phase-diagram, i.e. the hadron-parton phase-transition likely takes place, at lower critical temperatures and chemical potentials.

show abstract

SU(3) Polyakov linear-sigma model with finite isospin asymmetry: QCD phase diagram

Cited by 16 publications

References 90 publications

Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities

Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities

Chiral magnetic properties of QCD phase-diagram

Chiral magnetic properties of QCD phase-diagram

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