Abelian-Higgs model from Cho-Faddeev-Niemi decomposition

Abstract

Applying Cho-Faddeev-Niemi decomposition for SU(2) Yang-Mills field, we obtain the Abelian-Higgs Lagrangian by some approximation. Abelian-Higgs Lagrangian with a spontaneous symmetry breaking potential has vortex solutions known as Nielsen-Olesen solutions. We conclude that vortices as well as magnetic monopoles can exist in Cho-Faddeev-Niemi decomposition of SU(2) Yang-Mills field.

10 pages, To be published in MPLA

References in corpus (2)

• U(1) effective confinement theory from SU(2) restricted gauge theory via the Julia-Toulouse Approach
• A Faddeev-Niemi Solution that Does Not Satisfy Gauss' Law

Cited by in corpus (2)

• Quark confinement: dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang-Mills theory
• Electromagnetic and gravitational form factors in simulated QED and Yukawa model