Conserved Charge Fluctuations and Susceptibilities in Strongly Interacting Matter

Abstract

We study the conserved charge fluctuations, as quantified by the corresponding susceptibilities, in strongly interacting matter as motived by the quark-gluon plasma. Using the gauge-gravity correspondence approach, we study the patterns of conserved charge fluctuations in two types of holographic models for QCD, the D4/D8 and the D3/D7 models. We compute and compare the quark number susceptibilities in both models and find an interesting common feature of the two: at very strong coupling higher order susceptibilities are suppressed and the conserved charge fluctuations become purely Guassian. In light of the state-of-the-art lattice QCD results we also discuss what we can learn from these susceptibilities about the underlying degrees of freedom in the $1\sim 2T_c$ quark-gluon plasma and examine the viability of different ideas such as holography, quasi-particles, as well as bound states. From analyzes of second order susceptibilities we conclude that the bound states exist and are important in the $1\sim 2T_c$ region. We further construct and make predictions for several ratios of fourth-order susceptibilities that can sensitively reveal such bound states.

24 pages, 12 figures, new references included

References in corpus (35)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Holographic Phase Transitions with Fundamental Matter
• Scale for the Phase Diagram of Quantum Chromodynamics
• Freeze-out Conditions in Heavy Ion Collisions from QCD Thermodynamics
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• A holographic model of deconfinement and chiral symmetry restoration
• Holographic melting and related properties of mesons in a quark gluon plasma
• Cold Nuclear Matter In Holographic QCD
• Holographic Nuclear Physics
• The renormalization group and quark number fluctuations in the Polyakov loop extended quark-meson model at finite baryon density
• Strongly coupled plasma with electric and magnetic charges
• Baryons and the phase diagram for a large number of colors and flavors
• Continuity, Deconfinement, and (Super) Yang-Mills Theory
• Angular Dependence of Jet Quenching Indicates Its Strong Enhancement Near the QCD Phase Transition
• The chiral critical point of Nf=3 QCD at finite density to the order (mu/T)^4
• Universal mechanism of (semi-classical) deconfinement and theta-dependence for all simple groups
• Charge-Dependent Correlations in Relativistic Heavy Ion Collisions and the Chiral Magnetic Effect
• Quark number susceptibilities: lattice QCD versus PNJL model
• Chiral Phase Transition from String Theory
• Magnetic Component of Quark-Gluon Plasma is also a Liquid!
• Effective matrix model for deconfinement in pure gauge theories
• The Chiral Model of Sakai-Sugimoto at Finite Baryon Density
• Baryon-charge Chemical Potential in AdS/CFT
• Stringy NJL and Gross-Neveu models at finite density and temperature
• Dense Holographic QCD in the Wigner-Seitz Approximation
• Critical endpoint for deconfinement in matrix and other effective models
• The role of monopoles in a Gluon Plasma
• D3/D7 holographic Gauge theory and Chemical potential
• A QCD chiral critical point at small chemical potential: is it there or not?
• Dense Hadronic Matter in Holographic QCD
• Hadronic Fluctuations and Correlations
• Brane-induced Skyrmion on S^3: baryonic matter in holographic QCD
• Search for the QCD Critical Point by Higher Moments of Net-proton Multiplicity Distributions at STAR
• Effect of Light Fermions on the Confinement Transition in QCD-like Theories
• Flavor Diagonal and Off-Diagonal Susceptibilities in a Quasiparticle Model of the Quark-Gluon Plasma

Cited by in corpus (4)

• Is there a flavor hierarchy in the deconfinement transition of QCD?
• Bridging Soft-Hard Transport Properties of Quark-Gluon Plasmas with CUJET3.0
• Equation of State of hot and dense QCD: Resummed perturbation theory confronts lattice data
• Flavor Dependence of Meson Melting Temperature in Relativistic Potential Model