Vacuum and Vortices in Inhomogeneous Abelian Higgs Model Article Swipe

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Yoonbai Kim , S. Jeon , O-Kab Kwon , H. Y. Song , Chanju Kim ·

YOU? · · 2024 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2409.12451

The inhomogeneous abelian Higgs model with a magnetic impurity in the BPS limit is studied for both relativistic and nonrelativistic regimes. Though the symmetry of spatial translation is broken by inhomogeneity, extension to an $\mathcal{N}=1$ supersymmetric theory is admitted. The quartic scalar potential has minimum value depending on strength of the impurity but possesses broken phase at spatial asymptote. The vacuum configuration of broken phase can be neither a constant nor the minimum of the scalar potential, but is found as a nontrivial solution of the Bogomolny equations. While its energy density and magnetic field are given by the function of spatial coordinates, the energy and magnetic flux remain zero. The sign of the magnetic impurity term allows either a BPS sector or anti-BPS sector but not both. Thus the obtained solution is identified as the new inhomogeneous broken vacuum of minimum zero energy. In the presence of rotationally symmetric Gaussian type inhomogeneity, topological vortex solutions are also obtained and the effects of the impurity to the vortex are numerically analyzed.

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Quantum Electrodynamics

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Higgs boson Abelian group Vortex Physics Quantum electrodynamics Particle physics Theoretical physics Mechanics Mathematics Combinatorics

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2409.12451
PDF: https://arxiv.org/pdf/2409.12451
OA Status: green
Related Works: 10
OpenAlex ID: https://openalex.org/W4403747254

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DOI: https://doi.org/10.48550/arxiv.2409.12451

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Title: Vacuum and Vortices in Inhomogeneous Abelian Higgs Model

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Language: en

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Publication year: 2024

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Publication date: 2024-09-19

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Authors: Yoonbai Kim, S. Jeon, O-Kab Kwon, H. Y. Song, Chanju Kim

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Landing page: https://arxiv.org/abs/2409.12451

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PDF URL: https://arxiv.org/pdf/2409.12451

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Concepts: Higgs boson, Abelian group, Vortex, Physics, Quantum electrodynamics, Particle physics, Theoretical physics, Mechanics, Mathematics, Combinatorics

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