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Vibrational modes of Q-balls

A. Kovtun1,2,*, E. Nugaev1,2,†, and A. Shkerin3,1,‡

  • 1Institute for Nuclear Research of the Russian Academy of Sciences, 60th October Anniversary prospect 7a, 117312 Moscow, Russia
  • 2Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudny, Moscow Region 141700, Russia
  • 3Institute of Physics, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland

  • *andrei.kovtun@phystech.edu
  • †emin@ms2.inr.ac.ru
  • ‡andrey.shkerin@epfl.ch
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Phys. Rev. D 98, 096016 – Published 27 November, 2018

DOI: https://doi.org/10.1103/PhysRevD.98.096016

Abstract

We study linear perturbations of classically stable Q-balls in theories admitting analytic solutions. Although the corresponding boundary value problem is non-Hermitian, the analysis of perturbations can also be performed analytically in certain regimes. We show that in theories with the flat potential, large Q-balls possess soft excitations. We also find a specific vibrational mode for Q-balls with a near-critical charge, where the perturbation theory for excitations can be developed. Comparing with the results on stability of Q-balls provides additional checks of our analysis.

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Phys. Rev. D 98, 096016– Published 27 November, 2018
  • Received 29 July 2018
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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