论文标题

用巨大的乳头限制了天际的intsanton近似

Constrained instanton approximation of Skyrmions with massive pions

论文作者

Martín-Caro, Alberto García

论文摘要

我们提出了沿约束激体溶液(约束的欧几里得方程的近似解决方案)沿$ \ rm su(2)$ \ rm su(2)$ yang-mills-higgs理论的构想(欧几里得方程的近似解决方案),以近似具有大量Pions的鼠模型中的天空解决方案。仪表场由于希格斯机制而获得非零质量的事实意味着,受约束的Instanton远离其中心的衰减,它通过At​​iyah-Manton Construction生成的天空配置也是如此。这正是当包括斜向质量时,这正是真正的Skyrmion溶液在很大距离处的所需行为。

We present the idea of using the holonomy along a line of a constrained instanton solution (an approximate solution of the Euclidean equations of motion subject to a constraint) of an $\rm SU(2)$ Yang-Mills-Higgs theory to approximate the Skyrmion solution in a chiral model with massive pions. The fact that the gauge field acquires a nonzero mass due to the Higgs mechanism implies that a constrained instanton decays exponentially far from its center, and so does the Skyrmion configuration that it generates via the Atiyah-Manton construction. This is precisely the desired behavior at large distances for the true Skyrmion solutions when the pion mass is included.

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