Split fermion quasi-normal modes

TL;DR

This paper derives fermion quasi-normal modes for higher-dimensional Schwarzschild black holes using conformal properties, with implications for split fermion models and stability of protons.

Contribution

It provides a novel method to compute fermion quasi-normal modes in higher dimensions and presents analytic expressions in specific limits.

Findings

Fermion damping rates increase with the number of dimensions.

Analytic quasi-normal frequencies are obtained for large angular momentum.

Results support split fermion models by analyzing black hole decay modes.

Abstract

In this paper we use the conformal properties of the spinor field to show how we can obtain the fermion quasi-normal modes for a higher dimensional Schwarzschild black hole. These modes are of interest in so called split fermion models, where quarks and leptons are required to exist on different branes in order to keep the proton stable. As has been previously shown, for brane localized fields, the larger the number of dimensions the faster the black hole damping rate. Moreover, we also present the analytic forms of the quasi-normal frequencies in both the large angular momentum and the large mode number limits.