Spin 1/2 quasinormal mode frequencies in Schwarzschild-AdS spacetime
Abstract
We find the asymptotic formula for quasinormal mode frequencies omega_n of the Dirac equation in a Schwarzschild-AdS_D background in space-time dimension D > 3, in the large black-hole limit appropriate to many applications of the AdS/CFT correspondence. By asymptotic, we mean large overtone number n with everything else held fixed, and we find the O(n^0) correction to the known leading O(n) behavior of omega_n. The result has the schematic form omega_n =~ n Delta(omega) + A ln(n) + B, where Delta(omega) and A are constants and B depends logarithmically on the (D-2)-dimensional spatial momentum k parallel to the horizon. We show that the asymptotic result agrees well with exact quasinormal mode frequencies computed numerically.
Keywords
Cite
@article{arxiv.1308.0341,
title = {Spin 1/2 quasinormal mode frequencies in Schwarzschild-AdS spacetime},
author = {Peter Arnold and Phillip Szepietowski},
journal= {arXiv preprint arXiv:1308.0341},
year = {2013}
}
Comments
24 pages, 5 figures