https://doi.org/10.1140/epjc/s10052-021-09022-x
Regular Article – Theoretical Physics
Charge screening in the Abelian Higgs model
1
Wigner RCP RMI, POB 49, 1525, Budapest, Hungary
2
Institut Denis-Poisson CNRS/UMR 7013, Université de Tours, Parc de Grandmont, 37200, Tours, France
3
Department of Theoretical Physics, University of the Basque Country UPV/EHU, POB 644, 48080, Bilbao, Spain
Received:
3
November
2020
Accepted:
3
March
2021
Published online:
18
March
2021
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.
© The Author(s) 2021
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