Quasi-normal modes for the D3-branes and Exact WKB analysis

We demonstrate how the Exact WKB analysis works in the study of the quasi-normal modes (QNMs). We apply the Exact WKB analysis to a massless scalar perturbation to the D3-brane metric as a concrete example. The Exact WKB analysis provides an exact condition for the QNMs. We numerically check our exa...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Author Imaizumi, Keita
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 28.09.2022
Subjects
Asymptotic properties
Branes
Perturbation
Physics - High Energy Physics - Theory
Online AccessGet full text

Cover

More Information
Summary:We demonstrate how the Exact WKB analysis works in the study of the quasi-normal modes (QNMs). We apply the Exact WKB analysis to a massless scalar perturbation to the D3-brane metric as a concrete example. The Exact WKB analysis provides an exact condition for the QNMs. We numerically check our exact condition by using the Borel-Pad\'{e} approximation. We also present an analytic form and an asymptotic behavior of the QNMs.
Bibliography:TIT/HEP-691
ISSN:2331-8422
DOI:10.48550/arxiv.2207.09961