Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-08-28
Phys.Rev.D78:086004,2008
Physics
High Energy Physics
High Energy Physics - Theory
21 pages, harvmac; v2: PRD version
Scientific paper
10.1103/PhysRevD.78.086004
We investigate the signatures of Fermi liquid formation in the N=4 super Yang-Mills theory coupled to fundamental hypermultiplet at nonvanishing chemical potential for the global U(1) vector symmetry. At strong 't Hooft coupling the system can be analyzed in terms of the D7 brane dynamics in AdS_5 x S^5 background. The phases with vanishing and finite charge density are separated at zero temperature by a quantum phase transition. In case of vanishing hypermultiplet mass, Karch, Son and Starinets discovered a gapless excitation whose speed equals the speed of sound. We find that this zero sound mode persists to all values of the hypermultiplet mass, and its speed vanishes at the point of phase transition. The value of critical exponent and the ratio of the velocities of zero and first sounds are consistent with the predictions of Landau Fermi liquid theory at strong coupling.
Kulaxizi Manuela
Parnachev Andrei
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