English

Approximate vortex solution of Faddeev model

High Energy Physics - Theory 2008-11-26 v1

Abstract

Through an Ansatz specifying the azimuthal-angle dependence of the solution, the static field equation for vortex of the Faddeev model is converted to an algebraic ordinary differential equation. An approximate analytic expression of the vortex solution is explored so that the energy per unit vortex length becomes as small as possible. It is observed that the minimum energy of vortex is approximately proportional to the integer which specifies the solution.

Cite

@article{arxiv.0712.4330,
  title  = {Approximate vortex solution of Faddeev model},
  author = {Chang-Guang Shi and Minoru Hirayama},
  journal= {arXiv preprint arXiv:0712.4330},
  year   = {2008}
}

Comments

9pages,4figures

R2 v1 2026-06-21T09:58:00.138Z