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Excited Abelian-Higgs vortices: decay rate and radiation emission

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arxiv 2405.06030 v1 pith:PJK5NSEI submitted 2024-05-09 hep-th math-phmath.MP

Excited Abelian-Higgs vortices: decay rate and radiation emission

classification hep-th math-phmath.MP
keywords modeabelian-higgsdecayemissionexcitedmassivemodelradiation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The evolution of 1-vortices when their massive bound mode is excited is investigated in detail (both analytically and numerically) in the Abelian-Higgs model for different ranges of the self-coupling constant. The dependence of the spectrum of the 1-vortex fluctuation operator on the model parameter is discussed initially. A perturbative approach is employed to study the radiation emission in both the scalar and the vector channels. Our findings reveal that the oscillating initial configuration of the 1-vortex radiates at a frequency twice that of the internal mode. Through energy conservation considerations, we derive the decay law of the massive mode. Finally, these analytical results are compared with numerical simulations in field theory.

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Cited by 2 Pith papers

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

  1. Resonance phenomena in vortex-antivortex collisions

    hep-th 2025-10 conditional novelty 7.0

    Vortex–antivortex collisions in the deep type-II Abelian-Higgs model show multi-bounce windows embedded in annihilation regions, driven by a Feshbach resonant mode.

  2. Localized Vector Modes on Local Cosmic Strings

    hep-th 2026-07 accept novelty 6.0

    Vector gauge modes trapped on Abelian-Higgs cosmic strings remain bound for all couplings λ, decay as t^{-1/2} via bulk radiation (or via quasinormal modes at large λ), and parametrically excite both transverse zero modes.