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hep-thJan 1, 2021
2
citations (OpenAlex)
authors
  • Noureddine Mohammedi
institutions
  • Institut Denis Poisson
  • Université de Tours
  • Université d'Orléans
arXiv abstractPDF
paper

On a classical solution to the Abelian Higgs model

arXiv:2101.07729

Abstract

A particular solution to the equations of motion of the Abelian Higgs model is given. The solution involves the Jacobi elliptic functions as well as the Heun functions.

14 pages, 2 figures. Discussion extended and references added

References in corpus (6)

  • Stationary ring solitons in field theory - knots and vortons
  • Analytic crystals of solitons in the four dimensional gauged non-linear sigma model
  • Analytic Studies of Static and Transport Properties of (Gauged) Skyrmions
  • Analytic vortex solutions in generalized models of the Maxwell-Higgs type
  • Four Lectures on Weierstrass Elliptic Function and Applications in Classical and Quantum Mechanics
  • Symmetric solitonic excitations of the (1+1)-dimensional Abelian-Higgs "classical vacuum"

Cited by in corpus (1)

  • Elliptically oscillating solutions in Abelian-Higgs model and electromagnetic property
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