Approximate vortex solution of Faddeev model

Details Approximate vortex solution of Faddeev model Approximate vortex solution of Faddeev model

2007-12-28

arxiv.org/abs/0712.4330v1

Int.J.Mod.Phys.A23:1361-1369,2008

Physics

High Energy Physics

High Energy Physics - Theory

9pages,4figures

Scientific paper

10.1142/S0217751X08039517

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.

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