Linearized Q-Ball Perturbations
Abstract
Linearized deformations of the thick-walled (low-amplitude) (1+1)-dimensional Q-ball may be decomposed into relativistic modes, which are roughly plane waves, and also long-wavelength corotating and counterrotating Floquet modes. Each mode oscillates at a pair of mirror frequencies which average to the Q-ball frequency. The corotating modes are those of a breather or oscillon plus a very loosely bound mode. The counterrotating modes are described by an irrational-level P\"oschl-Teller potential, with two discrete modes which mix with their unbound mirrors, unbinding them and turning them into Feshbach-type quasinormal modes. Expanding to leading order in the Q-ball amplitude, we present all of these modes in closed form, except for the bound mode which does not exist at leading order.
Cite
@article{arxiv.2604.07713,
title = {Linearized Q-Ball Perturbations},
author = {Jarah Evslin and Hui Liu and Tomasz Romańczukiewicz and Yakov Shnir and Andrzej Wereszczyński and Piotr Ziobro},
journal= {arXiv preprint arXiv:2604.07713},
year = {2026}
}
Comments
21 pages, 7 pdf figures