Hyper-order baryon number fluctuations at finite temperature and density

Fu, Wei-jie; Luo, Xiaofeng; Pawlowski, Jan M.; Rennecke, Fabian; Wen, Rui; Yin, Shi

doi:10.48550/arxiv.2101.06035

Cited by 17 publications

(44 citation statements)

References 98 publications

(259 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…√ S N N = 200 GeV, we obtain a negative value of χ B 6 /χ B 2 = −0.97 ± 0.36, which is qualitatively consistent with the experimental results [82][83][84] and lattice calculation [85]. For √ S N N 10 GeV, our result shows a nonmonotonic behavior with a shallow minimum, in agreement with the FRG calculation [86]. We also show that χ B 6 /χ B 2 may have a large maximum along with a sharp and deep minimum when √ S N N 10 GeV.…”

Section: Atsupporting

confidence: 91%

Chemical Freeze-out Parameters via a Non-perturbative QCD Approach

Lu,

Chen,

Bai

et al. 2021

Preprint

View full text Add to dashboard Cite

By analyzing the calculated baryon number susceptibility ratios χ B 1 /χ B 2 and χ B 3 /χ B 1 in two-flavor system via the Dyson-Schwinger equation approach of QCD, we determine the chemical freeze-out temperature and baryon chemical potential in cases of both thermodynamic limit and finite size. We calculate the center-of-mass energy dependence of the χ B 4 /χ B 2 (κσ 2 ) at the freeze-out line and find an excellent agreement with experimental data when taking into account the finite size effect. Our calculations indicate that the κσ 2 exhibits a nonmonotonic behavior in lower collision energy region. We also predict that the collision energy dependence of χ B 6 /χ B 2 is nonmonotonic.

show abstract

Section: Atsupporting

confidence: 91%

Chemical Freeze-out Parameters via a Non-perturbative QCD Approach

Lu,

Chen,

Bai

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…Based on Lattice QCD calculations with physical values of light and strange quark masses, the negative signal of ratio of the sixth order to the second order (C 6 /C 2 ) is observed in the crossover region [3][4][5][6]. The QCD-assisted lowenergy effective theory and the QCD based models, such as the Polyakov loop extended quark-meson (PQM) and the Nambu-Jona-Lasinio (PNJL) models, also support that the sixth order cumulant is negative near the chiral crossover transition [7][8][9][10][11]. Consequently, C 6 /C 2 is a powerful observable to study the QCD phase diagram in experiment.…”

Section: Introductionmentioning

confidence: 84%

The sixth order cumulant of net-proton number in Binomial distribution at $\sqrt{s_{NN}} = $ 200 GeV

Chen,

Zhao,

et al. 2021

Preprint

View full text Add to dashboard Cite

It is proposed that ratios of the sixth order to the second order cumulant (C6/C2) of conserved quantities are sensitive to the chiral crossover transition. Recently, the negative C6/C2 was obtained both in theoretical Lattice QCD and experiments at √ sNN = 200 GeV. In this study, we investigate the behavior of net-proton C6/C2 in statistical Binomial distribution (BD) at √ sNN = 200 GeV in Au + Au collisions. With the BD parameters extracted from RHIC/STAR, it is found that C6/C2 can be negative. Furthermore, the obtained C6/C2 becomes smaller when applying the same magnitude of experimental statistics and calculation method to simulations. In 0-10% centrality, there is a significant difference between the simulated result and theoretical expectation. Based on the extracted parameters and experimentally collected statistics, the baseline of net-proton C6/C2 in BD is presented.

show abstract

“…Remarkably, significant progress have been made over the last several years in the first-principle fRG computation of QCD or YM theory in the vacuum [30][31][32][33][34] and at finite temperature and density [3,5,35], in the formalism of Euclidean path integral. In the meanwhile, relevant studies in the low energy effective field theories also provided us with a wealth of useful information on QCD phase structure [36][37][38][39] equation of state [40,41], baryon number fluctuations [42][43][44][45][46][47][48][49][50][51][52][53], baryon-strangeness correlations [54][55][56], critical exponents [57], etc.…”

Section: Introductionmentioning

confidence: 99%

Real-time dynamics of the $O(4)$ scalar theory within the fRG approach

Tan,

Chen,

2021

Preprint

Self Cite

View full text Add to dashboard Cite

In this paper, the real-time dynamics of the O(4) scalar theory is studied within the functional renormalization group formulated on the Schwinger-Keldysh closed time path. The flow equations for the effective action and its n-point correlation functions are derived in terms of the "classical" and "quantum" fields, and a concise diagrammatic representation is presented. An analytic expression for the flow of the four-point vertex is obtained. Spectral functions with different values of temperature and momentum are obtained. Moreover, we calculate the dynamical critical exponent for the phase transition near the critical temperature in the O(4) scalar theory in 3 + 1 dimensions, and the value is found to be z 2.023.

show abstract

Hyper-order baryon number fluctuations at finite temperature and density

Cited by 17 publications

References 98 publications

Chemical Freeze-out Parameters via a Non-perturbative QCD Approach

Chemical Freeze-out Parameters via a Non-perturbative QCD Approach

The sixth order cumulant of net-proton number in Binomial distribution at $\sqrt{s_{NN}} = $ 200 GeV

Real-time dynamics of the $O(4)$ scalar theory within the fRG approach

Contact Info

Product

Resources

About