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Understanding Q-Balls Beyond the Thin-Wall Limit

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arxiv 2009.08462 v3 pith:UX54GCBQ submitted 2020-09-17 hep-th hep-ph

classification hep-thhep-ph
keywords q-ballsq-balldifferentialequationthin-walladmitanalyticalapproximation
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Complex scalar fields charged under a global U(1) symmetry can admit non-topological soliton configurations called Q-balls which are stable against decay into individual particles or smaller Q-balls. These Q-balls are interesting objects within quantum field theory, but are also of phenomenological interest in several cosmological and astrophysical contexts. The Q-ball profiles are determined by a nonlinear differential equation, and so generally require solution by numerical methods. In this work, we derive analytical approximations for the Q-ball profile in a polynomial potential and obtain simple expressions for the important Q-ball properties of charge, energy, and radius. These results improve significantly on the often-used thin-wall approximation and make it possible to describe Q-balls to excellent precision without having to solve the underlying differential equation.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Gravitational Waves From Dark Binaries With Finite-Range Dark Forces

    gr-qc 2024-12 conditional novelty 7.0 of 10

    A finite-range dark force between dark-matter binaries sharpens and enhances the predicted gravitational wave background, adding knee features tied to the mediator mass.

  2. Hydrodynamic properties in soliton field theory

    hep-th 2025-10 conditional novelty 6.0 of 10

    Soliton formation in complex scalar field theory is framed as sound-mode-induced phase separation, and cylindrical Q-strings are shown to suffer a Rayleigh-Plateau membrane instability that breaks them into spheres.

  3. Q-ball perturbations with more details: linear analysis vs lattice

    hep-ph 2024-12 conditional novelty 6.0 of 10

    Q-ball perturbation theory is shown to remain valid for wavepacket amplitudes below about 10^-2 of the Q-ball background, and the analysis is extended to two-field FLS Q-balls.

  4. Can Q-balls describe cosmological and galactic dark matter?

    hep-th 2025-02 reject novelty 5.0 of 10

    Q-balls made of a millicharged complex scalar field are proposed as a single dark matter candidate that behaves as CDM on cosmological scales and produces MOND-like galactic dynamics through a superfluid phase.

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