Fluctuations as probe of the QCD phase transition and freeze-out in heavy ion collisions at LHC and RHIC

Friman, Bengt; Karsch, Frithjof; Redlich, K.; Skokov, Vladimir V.

doi:10.1140/epjc/s10052-011-1694-2

Cited by 279 publications

(347 citation statements)

References 45 publications

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“…The occurrence of a dip in the sixth order expansion coefficient of the pressure has been expected to show up on the basis of general scaling arguments for higher order derivatives of the QCD pressure in the vicinity of the chiral phase transition [24]. It may, however, also reflect the influence of a singularity on the imaginary chemical potential axis [25] (Roberge-Weiss critical point [26]) on Taylor series of bulk thermodynamic observables in QCD.…”

Section: A Pressure and Net Baryon-number Densitymentioning

confidence: 99%

QCD equation of state to O(μB6) from lattice QCD

et al. 2017

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We calculated the QCD equation of state using Taylor expansions that include contributions from up to sixth order in the baryon, strangeness and electric charge chemical potentials. Calculations have been performed with the Highly Improved Staggered Quark action in the temperature range T ∈ [135 MeV, 330 MeV] using up to four different sets of lattice cut-offs corresponding to lattices of size N 3 σ × Nτ with aspect ratio Nσ/Nτ = 4 and Nτ = 6 − 16. The strange quark mass is tuned to its physical value and we use two strange to light quark mass ratios ms/m l = 20 and 27, which in the continuum limit correspond to a pion mass of about 160 MeV and 140 MeV respectively. Sixth-order results for Taylor expansion coefficients are used to estimate truncation errors of the fourth-order expansion. We show that truncation errors are small for baryon chemical potentials less then twice the temperature (µB ≤ 2T ). The fourth-order equation of state thus is suitable for the modeling of dense matter created in heavy ion collisions with center-of-mass energies down to √ sNN ∼ 12 GeV. We provide a parametrization of basic thermodynamic quantities that can be readily used in hydrodynamic simulation codes. The results on up to sixth order expansion coefficients of bulk thermodynamics are used for the calculation of lines of constant pressure, energy and entropy densities in the T -µB plane and are compared with the crossover line for the QCD chiral transition as well as with experimental results on freeze-out parameters in heavy ion collisions. These coefficients also provide estimates for the location of a possible critical point. We argue that results on sixth order expansion coefficients disfavor the existence of a critical point in the QCD phase diagram for µB/T ≤ 2 and T /Tc(µB = 0) > 0.9.

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Section: A Pressure and Net Baryon-number Densitymentioning

confidence: 99%

QCD equation of state to O(μB6) from lattice QCD

et al. 2017

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“…Nevertheless, they exhibit sensitivity to the onset of the chiral crossover. At µ f = 0, the chiral criticality in the quark number fluctuations starts to show up in the six-th order cumulant [20]. At finite chemical potentials, the χ q yields more significance to the criticality, carried by the term ∂σ q /∂µ q in Eq.…”

Section: Chiral Susceptibilitiesmentioning

confidence: 98%

Correlations between light and heavy flavors near the chiral crossover

Sasaki

Redlich

2015

Phys. Rev. D

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Thermal fluctuations and correlations between the light and heavy-light mesons are explored within a chiral effective theory implementing heavy quark symmetry. We show, that various heavylight flavor correlations indicate a remnant of the chiral criticality in a narrow range of temperature where the chiral susceptibility exhibits a peak structure. The onset of the chiral crossover, in the heavy-light flavor correlations, is therefore independent from the light flavors. This indicates that the fluctuations carried by strange charmed mesons can also be used to identify the chiral crossover, which is dominated by the non-strange light quark dynamics.

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“…The fluctuations and correlations can also be measured in heavy-ion collisions to identify the state of created matter. In particular, non-Gaussian (higher-order) fluctuations have been expected to probe critical properties of the system, such as the QCD critical point in the beam-energy scan program at RHIC and a remnant of the O(4) criticality at small baryon density [7,8].…”

Section: Introductionmentioning

confidence: 99%

“…The equation of state and fluctuations have been well described by the model below the chiral crossover temperature T = 154 ± 9 MeV [11,12], and the experimental data of fluctuations have been analyzed in terms of a gas of hadronic states [13][14][15][16]. At vanishing baryon density, the critical behavior due to the chiral phase transition appears at the sixth order of net-baryon fluctuations [8]. This is because the singular contribution to the free energy is suppressed in the lower-order fluctuations even in the vicinity of the expected second order transition.…”

Section: Introductionmentioning

confidence: 99%

Overlap between Lattice QCD and HRG with in-medium effects and parity doubling

Morita

Sasaki

et al. 2018

EPJ Web Conf.

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Abstract. We investigate the fluctuations and correlations involving baryon number in hot hadronic matter with modified masses of negative-parity baryons, in the context of the hadron resonance gas. Temperature-dependent masses are adopted from the recent lattice QCD results and from a chiral effective model which implements the parity doubling structure with respect to the chiral symmetry. Confronting the baryon number susceptibility, baryon-charge correlation, and baryon-strangeness correlation and their ratios with the lattice QCD data, we show that the strong downward mass shift in hyperons can accidentally reproduce some correlation ratios, however it also tends to overshoot the individual fluctuations and correlations. This indicates, that in order to correctly account for the influence of the chiral symmetry restoration on the fluctuation observables, a consistent framework of in-medium effects beyond hadron mass shifts is required.

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Fluctuations as probe of the QCD phase transition and freeze-out in heavy ion collisions at LHC and RHIC

Cited by 279 publications

References 45 publications

QCD equation of state to O(μB6) from lattice QCD

QCD equation of state to O(μB6) from lattice QCD

Correlations between light and heavy flavors near the chiral crossover

Overlap between Lattice QCD and HRG with in-medium effects and parity doubling

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