Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-05-26
JHEP 0709:024,2007
Physics
High Energy Physics
High Energy Physics - Theory
19 pages, no figures; v2 added two references, clarified discussion in section 3
Scientific paper
10.1088/1126-6708/2007/09/024
We use the AdS/CFT correspondence to compute the conductivity of massive N=2 hypermultiplet fields at finite baryon number density in an N=4 SU(N_c) super-Yang-Mills theory plasma in the large N_c, large 't Hooft coupling limit. The finite baryon density provides charge carriers analogous to electrons in a metal. An external electric field then induces a finite current which we determine directly. Our result for the conductivity is good for all values of the mass, external field and density, modulo statements about the yet-incomplete phase diagram. In the appropriate limits it agrees with known results obtained from analyzing small fluctuations around equilibrium. For large mass, where we expect a good quasi-particle description, we compute the drag force on the charge carriers and find that the answer is unchanged from the zero density case. Our method easily generalizes to a wide class of systems of probe branes in various backgrounds.
Karch Andreas
O'Bannon Andy
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