AdS / CFT correspondence, quasinormal modes, and thermal correlators in N=4 SYM
Feb, 200329 pages
Published in:
- Phys.Rev.D 67 (2003) 124013
e-Print:
- hep-th/0302026 [hep-th]
Report number:
- NYU-TH-03-02-01,
- INT-PUB-03-02
View in:
Citations per year
Abstract: (arXiv)
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.- 11.27.+d
- 04.70.Bw
- 04.70.Dy
- 11.10.Wx
- gauge field theory: SU(N)
- supersymmetry
- field theory: anti-de Sitter
- field theory: conformal
- fluctuation: spectrum
- correlation function
References(44)
Figures(14)