Quark Number Susceptibility with Finite Chemical Potential in Holographic QCD

Abstract

We study the quark number susceptibility in holographic QCD with a finite chemical potential or under an external magnetic field at finite temperature. We first consider the quark number susceptibility with the chemical potential. We observe that approaching the critical temperature from high temperature regime, the quark number susceptibility divided by temperature square develops a peak as we increase the chemical potential, which confirms recent lattice QCD results. We discuss this behavior in connection with the existence of the critical end point in the QCD phase diagram. We also consider the quark number susceptibility under the external magnetic field. We predict that the quark number susceptibility exhibits a blow-up behavior at low temperature as we raise the value of the magnetic field. We finally spell out some limitations of our study.

arXiv comment25 pages, 3 figures, published version

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• Conserved Density Fluctuation and Temporal Correlation Function in HTL Perturbation Theory
• Holography at work for nuclear and hadron physics
• Melting of heavy vector mesons and quasinormal modes in a finite density plasma from holography
• Improved AdS/QCD Model with Matter
• Chiral vortical effect from the compactified D4-branes with smeared D0-brane charge
• Quark Number Susceptibility and QCD Phase Transition in the Predictive Soft-wall AdS/QCD Model with Finite Temperature
• Quark Number Susceptibility with Finite Quark Mass in Holographic QCD
• Conserved Charge Fluctuations and Susceptibilities in Strongly Interacting Matter
• Numerical study of hot strongly interacting matter