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Moduli space metric of the excited vortex

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arxiv 2503.15227 v1 pith:C2BG6DXG submitted 2025-03-19 hep-th

Moduli space metric of the excited vortex

classification hep-th
keywords vortexmodecontractionlorentzmetricmodulimovingshape
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show that the moduli space metric of a single vortex gets corrections because of the excitation of the radially symmetric shape mode. It leads to a non-zero amount of the shape mode carried by the vortex when moving with a constant velocity. However, due to the radial symmetry, this effect does not reproduce the Lorentz contraction of the moving vortex. We apply the Derrick mode approximation in order to recover the Lorentz contraction on the level of the collective model.

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Cited by 1 Pith paper

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.