Net quark number probability distribution near the chiral crossover transition

Abstract

We investigate properties of the probability distribution of the net quark number near the chiral crossover transition in the quark-meson model. The calculations are performed within the functional renormalization group approach, as well as in the mean-field approximation. We find, that there is a substantial influence of the underlying chiral phase transition on the properties of the probability distribution. In particular, for a physical pion mass, the distribution which includes the effect of mesonic fluctuations, differs considerably from both, the mean-field and Skellam distributions. The latter is considered as a reference for a non-critical behavior. A characteristic feature of the net quark number probability distribution is that, in the vicinity of the chiral crossover transition in the O(4) universality class, it is narrower than the corresponding mean-field and Skellam function. We study the volume dependence of the probability distribution, as well as the resulting cumulants, and discuss their approximate scaling properties.

9 pages, 7 figures. to appear in Phys. Rev. C. Discussion on differences between the mean-field and FRG results is extended

References in corpus (18)

• Exact evolution equation for the effective potential
• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Probing freeze-out conditions in heavy ion collisions with moments of charge fluctuations
• Freeze-out Conditions in Heavy Ion Collisions from QCD Thermodynamics
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• The phase structure of the Polyakov--quark-meson model beyond mean field
• The phase boundary for the chiral transition in (2+1)-flavor QCD at small values of the chemical potential
• Susceptibilities near the QCD (tri)critical point
• Relation between baryon number fluctuations and experimentally observed proton number fluctuations in relativistic heavy ion collisions
• The renormalization group and quark number fluctuations in the Polyakov loop extended quark-meson model at finite baryon density
• Acceptance corrections to net baryon and net charge cumulants
• Quark Number Fluctuations in a Chiral Model at Finite Baryon Chemical Potential
• QCD Critical Point and Complex Chemical Potential Singularities
• Polyakov loop extended NJL model with imaginary chemical potential
• Kurtosis and compressibility near the chiral phase transition
• Search for the QCD Critical Point by Higher Moments of Net-proton Multiplicity Distributions at STAR
• Mapping the phase diagram of strongly interacting matter
• Functional Renormalization Group Study of Phonon Mode Effects on Chiral Critical Point

Cited by in corpus (28)

• The nonperturbative functional renormalization group and its applications
• The QCD phase structure at finite temperature and density
• Fluctuations of conserved charges in relativistic heavy ion collisions: An introduction
• QCD at finite temperature and density within the fRG approach: An overview
• On the relevance of matter and glue dynamics for baryon number fluctuations
• Effects of kinematic cuts on net-electric charge fluctuations
• Functional renormalization group analysis of the soft mode at the QCD critical point
• Effects of global charge conservation on time evolution of cumulants of conserved charges in relativistic heavy ion collisions
• Criticality of the net-baryon number probability distribution at finite density
• Renormalization Group Studies of Dense Relativistic Systems
• Baryon number fluctuations in the 2+1 flavor low energy effective model
• Spinodal Instabilities of Baryon-Rich Quark-gluon Plasma in the PNJL Model
• Non-Gaussian particle number fluctuations in vicinity of the critical point for van der Waals equation of state
• Rapidity window dependences of higher order cumulants and diffusion master equation
• Fourier coefficients of the net-baryon number density and chiral criticality
• Baryon number probability distribution at finite temperature
• Generalized quark number susceptibilities from fugacity expansion at finite chemical potential for $N_f$ = 2 Wilson fermions
• Distribution of Canonical Determinants in QCD
• Probing the QCD phase diagram with fluctuations
• Net baryon number fluctuations across the chiral phase transition at finite density in the strong coupling lattice QCD
• Momentum scale dependence of the net quark number fluctuations near chiral crossover
• Efficiency corrections for factorial moments and cumulants of overlapping sets of particles
• The sixth order cumulant of net-proton number in Binomial distribution at $\sqrt{s_{NN}}=$ 200 GeV
• Net-baryon multiplicity distribution consistent with lattice QCD
• Stable Yang-Lee zeros in truncated fugacity series from net-baryon number multiplicity distribution
• Constructing probability density function of net-proton multiplicity distributions using Pearson curve method
• 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
• Approximation of the difference of two Poisson-like counts with Skellam