Hyper-order baryon number fluctuations at finite temperature and density

Fu, Weijie; Luo, X.; Pawlowski, Jan M.; Rennecke, Fabian; Wen, Rui; Yin, Shi

doi:10.1103/physrevd.104.094047

Cited by 56 publications

(55 citation statements)

References 127 publications

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“…Here M , σ 2 , S, κ stand for the mean value, the variance, the skewness, and the kurtosis of the net baryon or proton number distributions. In the same way, calculations can also be extended to the hyper-order baryon number fluctuations, i.e., χ B n>4 [104,150,[166][167][168]. The relations between the hyper-order susceptibilities and the cumulants are given by [150]…”

Section: Baryon Number Fluctuationsmentioning

confidence: 99%

QCD at finite temperature and density within the fRG approach: An overview

2022

Preprint

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In this paper we present an overview on recent progress in studies of QCD at finite temperature and densities within the functional renormalization group (fRG) approach. The fRG is a nonperturbative continuum field approach, in which quantum, thermal and density fluctuations are integrated in successively with the evolution of the renormalization group (RG) scale. The fRG results for the QCD phase structure and the location of the critical end point (CEP), the QCD equation of state (EoS), the magnetic EoS, baryon number fluctuations confronted with recent experimental measurements, various critical exponents, spectral functions in the critical region, the dynamical critical exponent, etc., are presented. Recent estimates of the location of the CEP from first-principle QCD calculations within fRG and Dyson-Schwinger Equations, which passes through lattice benchmark tests at small baryon chemical potentials, converge in a rather small region at baryon chemical potentials of about 600 MeV. A region of inhomogeneous instability indicated by a negative wave function renormalization is found with µB 420 MeV. It is found that the non-monotonic dependence of the kurtosis of the net-proton number distributions on the beam collision energy observed in experiments, could arise from the increasingly sharp crossover in the regime of low collision energy.

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Section: Baryon Number Fluctuationsmentioning

confidence: 99%

QCD at finite temperature and density within the fRG approach: An overview

2022

Preprint

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“…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

Tan¹,

Chen²,

2022

SciPost Phys.

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In this paper, the real-time dynamics of the O(4)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 nn-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)O(4) scalar theory in 3+13+1 dimensions, and the value is found to be z\simeq 2.023z≃2.023.

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“…Fluctuations of and correlations among net baryon number (B), strangeness (S), and electric charge (Q) have been very useful to probe the changes of degrees of freedom at zero magnetic fields and the QCD phase structure, as they are both theoretically computable and experimen-tally measurable [41,42]. They have been extensively employed to study the changes in the degree of freedom in the system [43][44][45][46][47][48] and probe the critical end point [41,[49][50][51][52][53][54][55]. For instance, the ratio of 4th order fluctuation of baryon number to the 2nd one [56], and the ratio of baryonstrangeness correlation to quadratic strangeness fluctuations [45] are useful to probe the deconfinement properties of the QCD transition [56].…”

Section: Introductionmentioning

confidence: 99%

Fluctuations and correlations of net baryon number, electric charge and strangeness in a background magnetic field

Ding,

Li,

Shi

et al. 2021

Preprint

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We present results on the second-order fluctuations of and correlations among net baryon number, electric charge and strangeness in (2+1)-flavor lattice QCD in the presence of a background magnetic field. Simulations are performed using the tree-level improved gauge action and the highly improved staggered quark (HISQ) action with a fixed scale approach (a 0.117 fm). The light quark mass is set to be 1/10 of the physical strange quark mass and the corresponding pion mass is about 220 MeV at vanishing magnetic field. Simulations are performed on 32 3 × Nτ lattices with 9 values of Nτ varying from 96 to 6 corresponding to temperatures ranging from zero up to 281 MeV. The magnetic field strength eB is simulated with 15 different values up to ∼2.5 GeV 2 at each nonzero temperature. We find that quadratic fluctuations and correlations do not show any singular behavior at zero temperature in the current window of eB while they develop peaked structures at nonzero temperatures as eB grows. By comparing the electric charge-related fluctuations and correlations with hadron resonance gas model calculations and ideal gas limits we find that the changes in degrees of freedom start at lower temperatures in stronger magnetic fields. Significant effects induced by magnetic fields on the isospin symmetry and ratios of net baryon number and baryon-strangeness correlation to strangeness fluctuation are observed, which could be useful for probing the existence of a magnetic field in heavy-ion collision experiments.

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Hyper-order baryon number fluctuations at finite temperature and density

Cited by 56 publications

References 127 publications

QCD at finite temperature and density within the fRG approach: An overview

QCD at finite temperature and density within the fRG approach: An overview

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

Fluctuations and correlations of net baryon number, electric charge and strangeness in a background magnetic field

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