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A Bohr-Sommerfeld Quantization Formula for Quasinormal Frequencies of AdS Black Holes

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Abstract:

We derive a quantization formula of Bohr-Sommerfeld type for computing quasinormal frequencies for scalar perturbations in an anti-de Sitter (AdS) black hole in the limit of large scalar mass or spatial momentum. We then apply the formula to find poles in retarded Green functions of boundary conformal field theories (CFTs) on R1,d−1 and R × S d−1. We find that when the boundary theory is perturbed by an operator of dimension Δ ≫ 1, the relaxation time back to equilibrium is given at zero momentum by 1/(ΔπT) ≪ 1/(πT). Turning on a large spatial momentum can significantly increase it. For a generic scalar operator in a CFT on R1,d−1, there exists a sequence of poles near the lightcone whose imaginary part scales with momentum as p −(d−2)/(d+2) in the large momentum limit. For a CFT on a sphere S d−1 we show that the theory possesses a large number of long-lived quasiparticles whose imaginary part is exponentially small in momentum.

Document Type: Research Article

DOI: https://doi.org/10.1166/asl.2009.1029

Publication date: 2009-06-01

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  • ADVANCED SCIENCE LETTERS is an international peer-reviewed journal with a very wide-ranging coverage, consolidates research activities in all areas of (1) Physical Sciences, (2) Biological Sciences, (3) Mathematical Sciences, (4) Engineering, (5) Computer and Information Sciences, and (6) Geosciences to publish original short communications, full research papers and timely brief (mini) reviews with authors photo and biography encompassing the basic and applied research and current developments in educational aspects of these scientific areas.
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