Quark Number Susceptibility with Finite Chemical Potential in Holographic QCD

Details Quark Number Susceptibility with Finite Chemical Potential in Holographic QCD Quark Number Susceptibility with Finite Chemical Potential in Holographic QCD

2010-01-29

arxiv.org/abs/1001.5343v2

JHEP 1005 (2010) 038

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, 3 figures, published version

Scientific paper

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.

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