Holographic Thermodynamics at Finite Baryon Density: Some Exact Results

Details Holographic Thermodynamics at Finite Baryon Density: Some Exact Results Holographic Thermodynamics at Finite Baryon Density: Some Exact Results

2007-09-05

arxiv.org/abs/0709.0570v2

JHEP 0711:074,2007

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 1 figure; v2 corrected typos, added comments to sections 2.2 and 2.4

Scientific paper

10.1088/1126-6708/2007/11/074

We use the AdS/CFT correspondence to study the thermodynamics of massive N=2 supersymmetric hypermultiplets coupled to N=4 supersymmetric SU(Nc) Yang-Mills theory in the limits of large Nc and large 't Hooft coupling. In particular, we study the theory at finite baryon number density. At zero temperature, we present an exact expression for the hypermultiplets' leading-order contribution to the free energy, and in the supergravity description we clarify which D-brane configuration is appropriate for any given value of the chemical potential. We find a second-order phase transition when the chemical potential equals the mass. At finite temperature, we present an exact expression for the hypermultiplets' leading-order contribution to the free energy at zero mass.

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