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Review of non-topological solitons in theories with $U(1)$-symmetry

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arxiv 1905.05146 v2 pith:YSGMVDCR submitted 2019-05-13 hep-th

classification hep-th
keywords theoriesq-ballsfieldgaugegivingnon-topologicalreviewrise
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We provide a review of non-topological solitonic solutions arising in theories with a complex scalar field and global or gauge $U(1)$-symmetry. It covers Q-balls, homogeneous charged scalar condensates, and nonlinear localized holes and bulges in a classically stable condensate. A historical overview is followed by the discussion of properties of solutions, including their stability, from different perspectives. Solitons in models with additional massive degrees of freedom are also revisited, and their relation to one-field Q-balls is showed. We also discuss theories with a gauge field giving rise to gauged Q-balls and theories with dynamical gravity giving rise to boson stars.

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Forward citations

Cited by 5 Pith papers

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

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    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. PQ-ball and its Real Scalar Analogue in an Expanding Universe

    hep-ph 2025-07 conditional novelty 6.0 of 10

    3+1D lattice simulations show PQ-balls form from a rotating complex scalar and decay faster for stronger symmetry breaking, with lifetimes roughly scaling as v^4.

  3. Decay rate of PQ-ball

    hep-ph 2025-04 conditional novelty 6.0 of 10

    PQ-balls, Q-balls in a spontaneously broken U(1) theory, are metastable in vacuum and decay at a rate proportional to the square of their asymptotic field value.

  4. 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.

  5. Non-topological solitons and quasi-solitons

    hep-th 2024-11 accept novelty 2.0 of 10

    A comprehensive review of non-topological solitons (Q-balls) and quasi-solitons (oscillons), their properties, dynamics, and roles in early-universe physics.

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