Non-perturbative dynamics and charge fluctuations in effective chiral models

Abstract

We discuss the properties of fluctuations of the electric charge in the vicinity of the chiral crossover transition within effective chiral models at finite temperature and vanishing net baryon density. The calculation includes non-perturbative dynamics implemented within the functional renormalization group approach. We study the temperature dependence of the electric charge susceptibilities in the linear sigma model and explore the role of quantum statistics. Within the Polyakov loop extended quark-meson model, we study the influence of the coupling of quarks to mesons and to an effective gluon field on charge fluctuations. We find a clear signal for the chiral crossover transition in the fluctuations of the electric charge. Accordingly, we stress the role of higher order cumulants as probes of criticality related to the restoration of chiral symmetry and deconfinement.

12 pages, 3 figures

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Cited by in corpus (25)

• The nonperturbative functional renormalization group and its applications
• Beam energy dependence of moments of the net-charge multiplicity distributions in Au+Au collisions at RHIC
• Freeze-out conditions from net-proton and net-charge fluctuations at RHIC
• Volume fluctuations and higher order cumulants of the net baryon number
• Hyper-order baryon number fluctuations at finite temperature and density
• On the relevance of matter and glue dynamics for baryon number fluctuations
• Chiral matrix model of the semi-Quark Gluon Plasma in QCD
• Robust characteristics of nongaussian fluctuations from the NJL model
• Net-charge probability distributions in heavy ion collisions at chemical freeze-out
• Net quark number probability distribution near the chiral crossover transition
• Dynamical equilibration of strongly interacting "infinite" parton matter within the parton-hadron-string dynamics transport approach
• Baryon susceptibilities, nongaussian moments and the QCD critical point
• Baseline study for higher moments of net-charge distribution at RHIC energies
• Critical behaviors of the $O(4)$ and $Z(2)$ symmetries in the QCD phase diagram
• Quark Number Susceptibility : Revisited with Fluctuation-Dissipation Theorem in mean field theories
• Probing the QCD phase diagram with fluctuations
• Universal relations between nongaussian fluctuations in heavy-ion collisions
• Beam energy and centrality dependence of the statistical moments of the net-charge and net-kaon multiplicity distributions in Au+Au collisions at STAR
• Factorial cumulants from short-range correlations and global baryon number conservation
• The sixth order cumulant of net-proton number in Binomial distribution at $\sqrt{s_{NN}}=$ 200 GeV
• Phase diagram of interacting pion matter and isospin charge fluctuations
• Experimental results on charge fluctuations in heavy-ion collisions
• Influence of statistics on the measured moments of conserved quantities in relativistic heavy ion collisions
• Influences of statistics and initial size fluctuation on high-order cumulants of conserved quantities in relativistic heavy ion collisions
• Cumulants from short-range correlations and baryon number conservation - next-to-leading order