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Quasinormal modes and holography

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arxiv hep-th/0506184 v2 pith:5RW4PHUG submitted 2005-06-22 hep-th gr-qchep-ph

classification hep-thgr-qchep-ph
keywords quasinormalboundaryconditionfinitefunctionsmodespolestemperature
verification ladder T0 review T1 audit T2 compute T3 formal
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Quasinormal frequencies of electromagnetic and gravitational perturbations in asymptotically AdS spacetime can be identified with poles of the corresponding real-time Green's functions in a holographically dual finite temperature field theory. The quasinormal modes are defined for gauge-invariant quantities which obey incoming-wave boundary condition at the horizon and Dirichlet condition at the boundary. As an application, we explicitly find poles of retarded correlation functions of R-symmetry currents and the energy-momentum tensor in strongly coupled finite temperature N=4 supersymmetric SU(Nc) Yang-Mills theory in the limit of large Nc.

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