AdS/CFT correspondence, quasinormal modes, and thermal correlators in N=4 SYM
arXiv:hep-th/0302026 · doi:10.1103/PhysRevD.67.124013
Abstract
We use the Lorentzian AdS/CFT prescription to find the poles of the retarded thermal Green's functions of SU(N) SYM theory in the limit of large N and large 't Hooft coupling. In the process, we propose a natural definition for quasinormal modes in an asymptotically AdS spacetime, with boundary conditions dictated by the AdS/CFT correspondence. The corresponding frequencies determine the dispersion laws for the quasiparticle excitations in the dual finite-temperature gauge theory. Correlation functions of operators dual to massive scalar, vector and gravitational perturbations in a five-dimensional AdS-Schwarzschild background are considered. We find asymptotic formulas for quasinormal frequencies in the massive scalar and tensor cases, and an exact expression for vector perturbations. In the long-distance, low-frequency limit we recover results of the hydrodynamic approximation to thermal Yang-Mills theory.
30 pages, 1 table, 14 figures; one important correction - the paragraph containing Eq.(4.19) in v.1 is removed; typos corrected, references added
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