Charge screening in the Abelian Higgs model

@article{Forgacs2020ChargeSI,
  title={Charge screening in the Abelian Higgs model},
  author={P'eter Forg'acs and 'Arp'ad Luk'acs},
  journal={arXiv: High Energy Physics - Theory},
  year={2020}
}
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… 
1 Citations

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References

SHOWING 1-10 OF 29 REFERENCES

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

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

Charge screening in classical scalar electrodynamics.

  • BawinCugnon
  • Physics
    Physical review. D, Particles and fields
  • 1988
This model allows for the exact construction of a classical ``charged vacuum'' by finding partially screened solutions with energy less than the energy associated with pure Coulomb configurations with zero scalar field.

Total charge screening

Charge-screened nontopological solitons in a spontaneously broken U(1) gauge theory

We construct, numerically, stationary and spherically symmetric nontopological soliton solutions in the system composed of a complex scalar field, a U(1) gauge field, and a complex Higgs scalar field

Homogeneous balls in a spontaneously broken U(1) gauge theory

We study the coupled system consisting of a complex matter scalar field, a U(1) gauge field, and a complex Higgs scalar field that causes spontaneously symmetry breaking. We show by numerical

Static intervortex forces

A point particle approximation to the classical dynamics of well-separated vortices of the Abelian Higgs model is developed. A static vortex is asymptotically identical to a solution of the

Total source charge and charge screening in Yang-Mills theories.

New gauge-invariant definitions for the total charge on a static Yang-Mills source are suggested which are argued better suited for determining when true color screening has occurred and imply that the Abelian Coulomb solution for a simple ``electric'' dipole source has zero total source charge and therefore no color screening.

Nontopological solitons in Abelian gauge theories coupled to U(1)×U(1) symmetric scalar fields

In a series of recent works, Ishihara and Ogawa have investigated nontopological solitons (Q-balls) in a spontaneously broken Abelian gauge theory coupled to two complex scalar fields. The present

Relaxation Methods for Gauge Field Equilibrium Equations

This article gives a pedagogical introduction to relaxation methods for the numerical solution of elliptic partial differential equations, with particular emphasis on treating nonlinear problems with

Broken Symmetries and the Masses of Gauge Bosons

In a recent note' it was shown that the Goldstone theorem, ' that Lorentz-covaria. nt field theories in which spontaneous breakdown of symmetry under an internal Lie group occurs contain zero-mass