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PreprintCC BY 4.0arXiv

Vortex clusters and vortex-filled bubbles in a modified Abelian-Higgs model

Abstract

We investigate a single-component Abelian-Higgs model with an eighth-order scalar potential whose vacuum manifold consists of two disconnected circles. The model supports two species of vortices and domain walls interpolating between the two vacuum components. We find type-1.5-like behavior characterized by nonmonotonic intervortex interactions and bound states of spatially separated vortices. Inner-vacuum vortices form clusters through short-range repulsion and long-range attraction, whereas outer-vacuum vortices form vortex-filled bubbles in which a closed domain wall confines multiple inner-vacuum-vortex cores. We construct the domain wall analytically, derive the asymptotic vortex-wall interactions, and analyze the fluctuation spectra of coincident multivortices to identify their splitting instabilities.

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BibTeX
@misc{miguelezcaballero2026vortex,
  title = {{Vortex clusters and vortex-filled bubbles in a modified Abelian-Higgs model}},
  author = {D. Miguélez-Caballero and S. Navarro-Obregón and Muneto Nitta and Keisuke Ohashi},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.21930},
  eprint = {2610.21930},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.21930},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Vortex clusters and vortex-filled bubbles in a modified Abelian-Higgs model
AU  - D. Miguélez-Caballero
AU  - S. Navarro-Obregón
AU  - Muneto Nitta
AU  - Keisuke Ohashi
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.21930
UR  - https://arxiv.org/abs/2610.21930
AB  - We investigate a single-component Abelian-Higgs model with an eighth-order scalar potential whose vacuum manifold consists of two disconnected circles. The model supports two species of vortices and domain walls interpolating between the two vacuum components. We find type-1.5-like behavior characterized by nonmonotonic intervortex interactions and bound states of spatially separated vortices. Inner-vacuum vortices form clusters through short-range repulsion and long-range attraction, whereas outer-vacuum vortices form vortex-filled bubbles in which a closed domain wall confines multiple inner-vacuum-vortex cores. We construct the domain wall analytically, derive the asymptotic vortex-wall interactions, and analyze the fluctuation spectra of coincident multivortices to identify their splitting instabilities.
ER  -