SU(3) knot solitons: Hopfions in the F2 Skyrme?Faddeev?Niemi model
SU(3) knot solitons: Hopfions in the F2 Skyrme?Faddeev?Niemi model
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SU(3) 结孤子：F2 Skyrme?Faddeev?Niemi 模型中的 Hopfions
DOI：
10.1016/j.physletb.2018.08.020
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发表时间：
2018
影响因子：
4.4
通讯作者：
Sawado Nobuyuki
中科院分区：
文献类型：
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作者：
Amari Yuki;Sawado Nobuyuki
讨论了目标空间su (3)/U(1) 2上的skyrme - faddev - niemi型模型中的结孤子（Hopfions）的存在性，它可以看作是su (3) Yang-Mills理论和su(3)反铁磁Heisenberg模型的有效理论。我们导出了两种不同类型的结点孤子：第一种是su(2)到su(3)的平凡嵌入构型，第二种是可以通过Bäcklund变换生成的非嵌入构型。这两种分析结果的欧拉-拉格朗日方程完全简化为c1 skyrme - faddedev - niemi模型。我们也用集体坐标零模量子化方法研究了解的一些量子方面。
We discuss the existence of knot solitons (Hopfions) in a Skyrme–Faddeev–Niemi-type model on the target space S U (3)/U (1) 2, which can be viewed as an effective theory of both the S U (3) Yang–Mills theory and the S U (3) anti-ferromagnetic Heisenberg model. We derive the knot solitons with two different types of ansatz: the first is a trivial embedding configuration of S U (2) into S U (3), and the second is a non-embedding configuration that can be generated through the Bäcklund transformation. The resulting Euler–Lagrange equations for both ansatz reduce exactly to those of the C P 1 Skyrme–Faddeev–Niemi model. We also examine some quantum aspects of the solutions using the collective coordinate zero-mode quantization method.