关于Faddeev-Hopf模型高电荷组态的一点注记
A note on higher-charge configurations for the Faddeev-Hopf model
摘要:
通过适当改变域度量和基于$α$ -Hopf结构的约化技术,我们确定了满足Faddeev-Hopf模型(强耦合极限)Euler-Lagrange方程的高电荷组态.在最后一种情况下,它被证明的解决方案是局部极小的减少的能量,我们确定其中那些谁是全球最小的未减少的能量。
英文摘要:
We identify higher-charge configurations that satisfy Euler-Lagrange equations for the (strong coupling limit of) Faddeev-Hopf model, by means of adequate changes of the domain metric and a reduction technique based on $α$-Hopf construction. In the last case it is proved that the solutions are local minima for the reduced energy and we identify among them those who are global minima for the unreduced energy.
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