Fluctuations and correlations of conserved charges near the QCD critical point

2010/08/31 by Wei-jie Fu, Wei‐jie Fu, Yue-Liang Wu +1 · 4 citations
Mathematics · Physics and Astronomy · #Critical point (mathematics) #High-Energy Particle Collisions Research #Mathematical analysis #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Point (geometry) #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Statistical physics #hep-ph

paper · pdf · doi:10.1103/physrevd.82.074013

published as Phys.Rev.D82:074013,2010 · 22 pages, 12 figures, version accepted by Phys. Rev. D

arxiv created 2010/10/05 · openalex publication_date 2010/10/15 · arxiv updated 2010/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the fluctuations and correlations of conserved charges, such as the baryon number, the electric charge and the strangeness, at the finite temperature and the nonzero baryon chemical potential in an effective model. The fluctuations are calculated up to the fourth-order and the correlations to the third-order. We find that the second-order fluctuations and correlations have a peak or valley structure when the chiral phase transition takes place with the increase of the baryon chemical potential; the third-order fluctuations and correlations change their signs during the chiral phase transition; and the fourth-order fluctuations have two maxima and one minimum. We also depict contour plots of various fluctuations and correlations of conserved charges in the plane of temperature and the baryon chemical potential. It is found that higher-order fluctuations and correlations of conserved charges are superior to the second-order ones to be used to search for the critical point in heavy ion collision experiments.

Citations

• Coupling of pion condensate, chiral condensate, and Polyakov loop in an extended Nambu–Jona-Lasinio model
• Susceptibilities and speed of sound from the Polyakov-Nambu-Jona-Lasinio model
• Chiral effective model with the Polyakov loop
• Critical point of QCD at finite T and , lattice results for physical quark masses
• On the critical end point of QCD
• Non-Gaussian Fluctuations near the QCD Critical Point
• Universality, the QCD critical and tricritical point, and the quark number susceptibility
• New forms of QCD matter discovered at RHIC
• Experimental and theoretical challenges in the search for the quark–gluon plasma: The STAR Collaboration's critical assessment of the evidence from RHIC collisions
• Phase diagram of QCD
• Polyakov loop, diquarks, and the two-flavor phase diagram
• 2+1flavor Polyakov–Nambu–Jona-Lasinio model at finite temperature and nonzero chemical potential

Cited by

• Baryon number fluctuations at finite temperature and density
• Correlation between conserved charges in Polyakov–Nambu–Jona-Lasinio model with multiquark interactions
• The kurtosis of net baryon number fluctuations from a realistic Polyakov–Nambu–Jona-Lasinio model along the experimental freeze-out line
• Quark number fluctuations at finite temperature and finite chemical potential via the Dyson-Schwinger equation approach