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Holographic thermodynamics at finite baryon density: some exact results

Andreas Karch and Andy O'Bannon

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We use the AdS/CFT correspondence to study the thermodynamics of massive Script N = 2 supersymmetric hypermultiplets coupled to Script 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.

Keywords

AdS-CFT and dS-CFT Correspondence

Brane Dynamics in Gauge Theories

D-branes

Gauge-gravity correspondence

 

E-print Number: 0709.0570

Cited: by |

Refers: to

PACS

11.30.Pb Supersymmetry

11.25.Hf Conformal field theory, algebraic structures

11.25.Uv D branes

12.38.Aw General properties of QCD (dynamics, confinement, etc.)

11.10.Wx Finite-temperature field theory

11.15.-q Gauge field theories

Subjects

Particle physics and field theory

Dates

Issue 11 (November 2007)

Received 28 September 2007, accepted for publication 8 November 2007

Published 26 November 2007



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