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Cho Abelian decomposition of monopole-antimonopole pair gauge potentials

机译:单极-反单极对测量电位的Cho Abelian分解

摘要

Recently we have reported on standard MAP and generalized Jacobi Elliptic monopole-antimonopole pair (MAP) solutions of the SU(2) Yang-Mills-Higgs model. Here we apply Cho Abelian decomposition to the gauge potential of these MAP solutions. It is shown that the point singularities at the locations of the monopole (antimonopole), that comes from the restricted part, are removed by the unrestricted valence potential. We also consider the effect of decomposition upon energy and magnetic charge density for the cases of standard MAP and generalized Jacobi elliptic MAP solutions, under the conditions of vanishing (λ = 0) and non vanishing (λ = 1) Higgs potential.
机译:最近,我们已经报道了SU(2)Yang-Mills-Higgs模型的标准MAP和广义Jacobi椭圆单极-反单极对(MAP)解决方案。在这里,我们将Cho Abelian分解应用于这些MAP解决方案的规范电势。结果表明,单极(反单极)位置上的点奇点被无限制的化合价所消除。对于标准MAP和广义Jacobi椭圆MAP解,在希格斯势消失(λ= 0)和不消失(λ= 1)的情况下,我们还考虑了分解对能量和电荷密度的影响。

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