Higher order fluctuations and correlations of conserved charges from lattice QCD

Borsányi, Szabolcs; Fodor, Z.; Guenther, Jana N.; Katz, Sándor D.; Pásztor, Attila; Portillo, Israel; Ratti, Claudia; Szabó, Kornélia

doi:10.1007/jhep10(2018)205

Cited by 170 publications

(153 citation statements)

References 50 publications

(67 reference statements)

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“…From the first BES at RHIC, the STAR collaboration extracted results for the net-proton number fluctuations M P , σ 2 P , S P , and κ P [61,62], which can be used as a proxy for fluctuations of the net baryon number. The data suggest a number of interesting tendencies, which are drastically different from results of HRG model calculations, but agree with results from lattice QCD [42,43,63] obtained for small baryon chemical potential. As already mentioned in the introduction, it is the purpose of this paper to provide theoretical results for larger chemical potential in the framework of functional approaches to QCD.…”

Section: Fluctuationssupporting

confidence: 74%

Baryon number fluctuations in the QCD phase diagram from Dyson-Schwinger equations

et al. 2019

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We present results for fluctuations of the baryon number for QCD at non-zero temperature and chemical potential. These are extracted from solutions to a coupled set of truncated Dyson-Schwinger equations for the quark and gluon propagators of Landau gauge QCD with N f = 2 + 1 quark flavors, that has been studied previously. We discuss the changes of fluctuations and ratios thereof up to fourth order for several temperatures and baryon chemical potential up to and beyond the critical end point. In the context of preliminary STAR data for the skewness and kurtosis ratios, the results are compatible with the scenario of a critical end point at large chemical potential and slightly offset from the freeze-out line. We also discuss the caveats involved in this comparison.

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Section: Fluctuationssupporting

confidence: 74%

Baryon number fluctuations in the QCD phase diagram from Dyson-Schwinger equations

et al. 2019

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“…This observation suggests that the measurement of net-baryon cumulants may also provide an avenue to establish the existence of a cross-over transition at µ B = 0, as predicted by lattice QCD [28]. As discussed in [89][90][91][92] in the context of model as well as lattice QCD calculations, a cross-over transition results in negative sixth and eighth order cumulants at the freezeout temperature, κ 6 /κ 2 < 0 and κ 8 /κ 2 < 0. Therefore, the measurement of these cumulant ratios could provide experimental evidence that the systems created in high energy heavy ion collisions freeze out close to the cross-over transition.…”

Section: Baryon Number Cumulants Near the Critical Pointmentioning

confidence: 78%

Mapping the phases of quantum chromodynamics with beam energy scan

et al. 2020

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We review the present status of the search for a phase transition and critical point as well as anomalous transport phenomena in Quantum Chromodynamics (QCD), with an emphasis on the Beam Energy Scan program at the Relativistic Heavy Ion Collider at Brookhaven National Laboratory. We present the conceptual framework and discuss the observables deemed most sensitive to a phase transition, QCD critical point, and anomalous transport, focusing on fluctuation and correlation measurements. Selected experimental results for these observables together with those characterizing the global properties of the systems created in heavy ion collisions are presented. We then discuss what can be already learned from the currently available data about the QCD critical point and anomalous transport as well as what additional measurements and theoretical developments are needed in order to discover these phenomena.

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“…[7,[35][36][37][38][39] have made significant progress in the description of the QCD phase structure, for lattice simulations, see e.g. [40][41][42][43][44][45][46][47][48][49][50][51].…”

Section: Introductionmentioning

confidence: 99%

QCD phase structure at finite temperature and density

2020

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We discuss the phase structure of QCD for N f = 2 and N f = 2 + 1 dynamical quark flavours at finite temperature and baryon chemical potential. It emerges dynamically from the underlying fundamental interactions between quarks and gluons in our work. To this end, starting from the perturbative high-energy regime, we systematically integrate-out quantum fluctuations towards low energies by using the functional renormalisation group. By dynamically hadronising the dominant interaction channels responsible for the formation of light mesons and quark condensates, we are able to extract the phase diagram for µB/T 6. We find a critical endpoint at (TCEP, µB CEP ) = (107, 635) MeV. The curvature of the phase boundary at small chemical potential is κ = 0.0142(2), computed from the renormalised light chiral condensate ∆ l,R . Furthermore, we find indications for an inhomogeneous regime in the vicinity and above the chiral transition for µB 417 MeV. Where applicable, our results are in very good agreement with the most recent lattice results. We also compare to results from other functional methods and phenomenological freeze-out data. This indicates that a consistent picture of the phase structure at finite baryon chemical potential is beginning to emerge. The systematic uncertainty of our results grows large in the density regime around the critical endpoint and we discuss necessary improvements of our current approximation towards a quantitatively precise determination of QCD phase diagram.

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Higher order fluctuations and correlations of conserved charges from lattice QCD

Cited by 170 publications

References 50 publications

Baryon number fluctuations in the QCD phase diagram from Dyson-Schwinger equations

Baryon number fluctuations in the QCD phase diagram from Dyson-Schwinger equations

Mapping the phases of quantum chromodynamics with beam energy scan

QCD phase structure at finite temperature and density

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