Charge screening in the Abelian Higgs model

Abstract

In the Abelian Higgs model electric (and magnetic) fields of external charges (and currents) are screened by the scalar field. In this contribution, complementing recent investigations of Ishihara and Ogawa, we present a detailed investigation of charge screening using a perturbative approach with the charge strength as an expansion parameter. It is shown how perfect global and remarkably good local screening can be derived from Gauss' theorem, and the asymptotic form of the fields far from the sources. The perturbative results are shown to compare favourably to the numerical ones.

arXiv comment17 pages, 12 figures; updated to final version

References in corpus (7)

• Static intervortex forces
• Vortex Dynamics in Self-Dual Chern-Simons Higgs Systems
• Charge Screened Nontopological Solitons in a Spontaneously Broken U(1) Gauge Theory
• On non-topological solitons in Abelian gauge theories coupled to U(1)$\times$U(1) symmetric scalar fields
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• Solitonic Gravastars in a U(1) gauge Higgs model
• Relativistic Nontopological Soliton Stars in a U(1) Gauge Higgs Model