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Perfect Charge Screening of Extended Sources in an Abelian-Higgs Model

High Energy Physics - Theory 2018-11-28 v1 General Relativity and Quantum Cosmology

Abstract

We investigate a classical system that consists of a U(1) gauge field and a complex Higgs scalar field with a potential that breaks the symmetry spontaneously. We obtain numerical solutions of the system in the presence of a smoothly extended external source with a finite size. In the case of the source is spread wider than the mass scale of the gauge field, perfect screening of the external source occurs, namely, charge density of the source is canceled out everywhere by induced counter charge density cloud of the scalar and vector fields. Energy density induced by the cloud is also obtained.

Keywords

Cite

@article{arxiv.1811.10848,
  title  = {Perfect Charge Screening of Extended Sources in an Abelian-Higgs Model},
  author = {Hideki Ishihara and Tatsuya Ogawa},
  journal= {arXiv preprint arXiv:1811.10848},
  year   = {2018}
}

Comments

24 pages, 43 figures