Non-Gaussian fluctuations near the QCD critical point

Abstract

We study the effect of the QCD critical point on non-Gaussian moments (cumulants) of fluctuations of experimental observables in heavy-ion collisions. We find that these moments are very sensitive to the proximity of the critical point, as measured by the magnitude of the correlation length xi. For example, the cubic central moment of multiplicity ~ xi^4.5 and the quartic cumulant ~ xi^7. We estimate the magnitude of critical point contributions to non-Gaussian fluctuations of pion and proton multiplicities.

4 pages, 3 figures

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• Exploring the QCD phase diagram through relativistic heavy ion collisions
• Relativistic diffusion and heavy-ion collisions
• Generalized susceptibilities of net-baryon number based on the 3-dimensional Ising universality class
• Radiative parton energy loss and baryon stopping in $AA$ collisions
• Ks, Lambda and Xi production at intermediate to high pT from Au+Au collisions at \sqrt{s_{NN}} = 39, 11.5 and 7.7 GeV
• Effect of non-uniform efficiency on higher-order cumulants in heavy-ion collisions
• The strange degrees of freedom in QCD at high temperature
• An innovative approach for sketching the QCD phase diagram within the NJL model using Lagrange Multipliers
• Ratio of baryon and electric-charge cumulants at second order with acceptance corrections
• Measurement of correlations among net-charge, net-proton, and net-kaon multiplicity distributions in Pb$-$Pb collisions at $\sqrt{s_{\text{NN}}}=5.02$ TeV
• Canonical partition function and center symmetry breaking in finite density lattice gauge theories
• Cumulants of the chiral order parameter at lower RHIC energies
• Multiplicity fluctuations at the quark-hadron phase transition from a fluid dynamical model
• Critical point particle number fluctuations from molecular dynamics
• Poisson baseline of net-charge fluctuations in the relativistic heavy ion collisions
• Yields of Projectile Fragments in Sulphur-Emulsion Interactions at 3.7A GeV
• Unified Functional-Holographic Theory of the QCD Critical End Point
• Study of net-baryon higher moments in PNJL model and their expectation for net-proton using the Subensemble Acceptance Method for the search of QCD critical point
• High cumulants of conserved charges and their statistical uncertainties
• Multiplicity fluctuation and correlation of mesons and baryons in ultra-relativistic heavy-ion collisions at LHC
• Hadronic matter at the edge: A survey of some theoretical approaches to the physics of the QCD phase diagram
• Efficient calculation of thermodynamic properties of baryon-rich QCD matter from heavy-ion transport models
• Effects of Intense Magnetic Fields, High Temperature and Density on QCD-Related Phenomena
• Accessing proton number fluctuations in limited regions of phase space
• Fluctuations of conserved charges in hydrodynamics and molecular dynamics
• Phase Fluctuations near the Chiral Critical Point
• Baryon diffusion near the QCD critical point
• Finite size effects on the phase diagram and the baryon fluctuations via momentum space constraints
• Remembrance of things past: non-equilibrium effects and the evolution of critical fluctuations near the QCD critical point
• From lattice to observables: Real and virtual experiments for exploring hot and dense QCD
• STAR Highlights on Heavy Ion Physics
• Cumulants in the 3-dimensional Ising, O(2) and O(4) spin models
• Fixed point behavior of cumulants in the three-dimensional Ising universality class
• Features of the QCD phase diagram from small, noisy, fluctuating systems