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.
Related
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 -