Light baryons below and above the deconfinement transition: medium effects and parity doubling

Aarts, Gert; Allton, Chris; Boni, Davide De; Hands, Simon; Jäger, Benjamin; Praki, Chrisanthi; Skullerud, Jon-Ivar

doi:10.1007/jhep06(2017)034

Cited by 103 publications

(76 citation statements)

References 66 publications

(138 reference statements)

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“…The large value of the chiral invariant mass of N (939) seems consistent with the results by the lattice QCD analysis in Ref. [17,18], which shows that is almost constant even if temperature is increased.…”

Section: Introductionsupporting

confidence: 89%

Chiral partner structure of light nucleons in an extended parity doublet model

Yamazaki

Harada

2019

Phys. Rev. D

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We study chiral partner structure of four light nucleons, N (939), N (1440), N (1535) and N (1650) using an effective chiral model based on the parity doublet structure. In our model we introduce four chiral representations, (1, 2), (2, 1), (2, 3) and (3, 2) under SU(2)L ⊗ SU(2)R symmetry. We determine the model parameters by fitting them to available experimental values of masses, widths and the axial charge of N (939) together with the axial charges of N (1535) and N (1650) by lattice analyses. We find five groups of solutions: In a group the chiral partner to N (939) is N (1440) having small chiral invariant mass. In another group, the chiral partner is a mixture of N (1535) and N (1650) having a large chiral invariant mass. We claim that off-diagonal elements of axial-charge matrix can be used for distinguishing these groups. We also discuss changes of masses associated with chiral symmetry restoration, which could emerge in high density matter.

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Section: Introductionsupporting

confidence: 89%

Chiral partner structure of light nucleons in an extended parity doublet model

Yamazaki

Harada

2019

Phys. Rev. D

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“…We note that a similar idea was pursued in Ref. [38], where temperature-dependent baryon masses measured on the lattice [39] were used in an improved hadron resonance gas model. The meson spectrum of NJL-type models was also the subject of lattice investigations [40].…”

Section: Introductionmentioning

confidence: 99%

Magnetized baryons and the QCD phase diagram: NJL model meets the lattice

Endrődi

Markó

2019

J. High Energ. Phys.

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We determine the baryon spectrum of 1 + 1 + 1-flavor QCD in the presence of strong background magnetic fields using lattice simulations at physical quark masses for the first time. Our results show a splitting within multiplets according to the electric charge of the baryons and reveal, in particular, a reduction of the nucleon masses for strong magnetic fields. This first-principles input is used to define constituent quark masses and is employed to set the free parameters of the Polyakov loop-extended Nambu-Jona-Lasinio (PNJL) model in a magnetic field-dependent manner. The so constructed model is shown to exhibit inverse magnetic catalysis at high temperatures and a reduction of the transition temperature as the magnetic field grows -in line with non-perturbative lattice results. This is contrary to the naive variant of this model, which gives incorrect results for this fundamental phase diagram. Our findings demonstrate that the magnetic field dependence of the PNJL model can be reconciled with the lattice findings in a systematic way, employing solely zero-temperature first-principles input.

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“…Within the NJL-model results for the temperature and chemical potential dependence of the nucleon masses have been discussed in[436,437]. Lattice results on this issue are presented in[438].…”

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confidence: 99%

QCD at finite temperature and chemical potential from Dyson–Schwinger equations

Fischer

2019

Progress in Particle and Nuclear Physics

285

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We review results for the phase diagram of QCD, the properties of quarks and gluons and the resulting properties of strongly interacting matter at finite temperature and chemical potential. The interplay of two different but related transitions in QCD, chiral symmetry restoration and deconfinement, leads to a rich phenomenology when external parameters such as quark masses, volume, temperature and chemical potential are varied. We discuss the progress in this field from a theoretical perspective, focusing on non-perturbative QCD as encoded in the functional approach via Dyson-Schwinger and Bethe-Salpeter equations. We aim at a pedagogical overview on the physics associated with the structure of this framework and explain connections to other approaches, in particular with the functional renormalization group and lattice QCD. We discuss various aspects associated with the variation of the quark masses, assess recent results for the QCD phase diagram including the location of a putative critical end-point for N f = 2 + 1 and N f = 2 + 1 + 1, discuss results for quark spectral functions and summarise aspects of QCD thermodynamics and fluctuations.

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Light baryons below and above the deconfinement transition: medium effects and parity doubling

Cited by 103 publications

References 66 publications

Chiral partner structure of light nucleons in an extended parity doublet model

Chiral partner structure of light nucleons in an extended parity doublet model

Magnetized baryons and the QCD phase diagram: NJL model meets the lattice

QCD at finite temperature and chemical potential from Dyson–Schwinger equations

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