Baryon number fluctuations and the phase structure in the PNJL model

Shao, Guo-yun; Tang, Z.; Gao, Xue-yan; He, Wei-bo

doi:10.1140/epjc/s10052-018-5636-0

Cited by 24 publications

(11 citation statements)

References 56 publications

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“…Overall, the increase of the magnitude of R as the CEP is approached is due to the determinant of the metric that becomes small around CEP and eventually vanishes at the CEP, see below. We also notice that increasing the temperature right above the peak results in R = 0 then R stays positive for a substantial temperature range, before becoming negative again: the R = 0 point can be understood since φ βββ , φ ββγ , φ βγγ and φ γγγ vanish at that temperature and so R does: this is in agreement with well known fact that the third or- der cumulants change sign around the critical endpoint [57][58][59][60] B. The thermodynamic geometry at the critical line…”

Section: A the Thermodynamic Curvaturesupporting

confidence: 88%

Thermodynamic geometry of the quark-meson model

2020

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We study the thermodynamic geometry of the Quark-Meson model, focusing on the curvature, R, around the chiral crossover at finite temperature and baryon chemical potential. We find a peculiar behavior of R in the crossover region, in which the sign changes and a local maximum develops; in particular, the height of the peak of R in the crossover region becomes large in proximity of the critical endpoint and diverges at the critical endpoint. The appearance of a pronounced peak of R close to the critical endpoint supports the idea that R grows with the correlation volume around the phase transition. We also analyze the mixed fluctuations of energy and baryon number, ∆U ∆N , which grow up substantially in proximity of the critical endpoint: in the language of thermodynamic geometry these fluctuations are responsible for the vanishing of the determinant of the metric, which results in thermodynamic instability and are thus related to the appearance of the second order phase transition at the critical endpoint.

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Section: A the Thermodynamic Curvaturesupporting

confidence: 88%

Thermodynamic geometry of the quark-meson model

2020

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“…The parameter T 0 is the confinementdeconfinement transition temperature in the pure Yang-Mills theory at vanishing chemical potential [84]. A rescaling of parameter T 0 from 270 to around 200 MeV is usually implemented when fermion fields are included [86][87][88][89]. Within mean field approximation, the thermodynamical potential density of SQM in the PCQMF model at finite baryon density and temperature can be elucidated as…”

Section: Polyakov Chiral Su(3) Quark Mean Field Modelmentioning

confidence: 99%

Properties of strange quark matter and strange quark stars

Kumari

Kumar

2021

Eur. Phys. J. C

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A Polyakov chiral $$\text {SU(3)}$$ SU(3) quark mean-field (PCQMF) model is applied to study the properties of strange quark matter (SQM) and strange quark star (SQS) in $$\beta $$ β -equilibrium. The effect of increasing the strength of vector interactions on the effective constituent quark mass, particle fractions, and the thermodynamical properties such as pressure, energy density, and the speed of sound is investigated. We investigate the above properties for the SQM relevant for various stages of star evolution, i.e., considering with/without trapped neutrinos and zero/finite entropy. The finite lepton fraction and the entropy of the medium is observed to cause the stiffness in the equation of state (EoS). Finally, we calculate the mass-radius relation and the dimensionless tidal deformability within the present model calculations and compare the results to the recent studies.

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“…, which is indicated as NJL-1, NJL-2, NJL-3 respectively, and three sets of parameters are shown in Table. In the 2-flavor PNJL and µPNJL models, we need to add the Polyakov-loop effective potential U(Φ,Φ, T ) with the following ansatz [33][34][35][36]…”

Section: A the Njl Pnjl And µPnjl Models With Vector Interactionmentioning

confidence: 99%

The kurtosis of net baryon number fluctuations from a realistic Polyakov–Nambu–Jona-Lasinio model along the experimental freeze-out line

Wang

et al. 2019

Eur. Phys. J. C

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Firstly we qualitatively analyze the formation of the dip and peak structures of the kurtosis κσ 2 of net baryon number fluctuation along imagined freeze-out lines and discuss the signature of the existence of the QCD critical end point (CEP) in the Nambu-Jona-Lasinio (NJL) model, Polyakov-NJL (PNJL) model as well as µ-dependent PNJL(µ PNJL) model with different parameter sets, and then we apply a realistic PNJL model with parameters fixed by lattice data at zero chemical potential, and quantitatively investigate its κσ 2 along the real freeze-out line extracted from experiments. The important contribution from gluodynamics to the baryon number fluctuations is discussed. The peak structure of κσ 2 along the freeze-out line is solely determined by the existence of the CEP mountain and can be used as a clean signature for the existence of CEP. The formation of the dip structure is sensitive to the relation between the freeze-out line and the phase boundary, and the freeze-out line starts from the back-ridge of the phase boundary is required. To our surprise, the kurtosis κσ 2 produced from the realistic PNJL model along the experimental freeze-out line agrees with BES-I data well, which indicates that equilibrium result can explain the experimental data. It is worth to point out that the extracted freeze-out temperatures from beam energy scan measurement are indeed higher than the critical temperatures at small chemical potentials, which supports our qualitative analysis.

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Baryon number fluctuations and the phase structure in the PNJL model

Cited by 24 publications

References 56 publications

Thermodynamic geometry of the quark-meson model

Thermodynamic geometry of the quark-meson model

Properties of strange quark matter and strange quark stars

The kurtosis of net baryon number fluctuations from a realistic Polyakov–Nambu–Jona-Lasinio model along the experimental freeze-out line

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