Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-02-26
JHEP 0805:007,2008
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, 19 figures; reference added, version published in JHEP
Scientific paper
10.1088/1126-6708/2008/05/007
We study the response of the Sakai-Sugimoto holographic model of large N_c QCD at nonzero temperature to external electric and magnetic fields. In the electric case we find a first-order insulator-conductor transition in both the confining and deconfining phases of the model. In the deconfining phase the conductor is described by the parallel 8-brane-anti-8-brane embedding with a current of quarks and anti-quarks. We compute the conductivity and show that it agrees precisely with a computation using the Kubo formula. In the confining phase we propose a new kind of 8-brane embedding, corresponding to a baryonic conductor. In the magnetic field case we show that the critical temperature for chiral-symmetry restoration in the deconfined phase increases with the field and approaches a finite value in the limit of an infinite magnetic field. We also illustrate the nonlinear behavior of the electric and magnetic susceptibilities in the different phases.
Bergman Oren
Lifschytz Gilad
Lippert Matthew
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