Easy plane baby Skyrmions
Easy plane baby Skyrmions
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DOI：
10.1103/physrevd.82.125030
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发表时间：
2010-10
影响因子：
5
通讯作者：
J. Jaykka;Martin Speight
中科院分区：
文献类型：
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作者：
J. Jaykka;Martin Speight
对婴儿Skyrme模型进行了研究，提出了一种新的势能选择V=1/2φ2 3。这个“易平面”势在目标两球的赤道处消失。因此，与以前研究的情况不同，场的边值破坏了模型的剩余SO(2)内部对称性。因此，即使单位电荷的天米子也只具有离散的对称性，并且由两个半集结束束态组成。建立了一个长程天际力模型，其中单位天子力被描绘成单个标量偶极子，产生一个与真空流形相切的无质量标量场。该模型具有一个有趣的特征，即两个Skyrmion相互作用能只取决于偶极子相对于连接它们的线的平均取向。它的定性预测被数值模拟所证实。用数值方法求出了电荷B=1，…，14，18，32的全局能量极小值。直到电荷B=6，极小化程序有2B个半块位于正则2B-方形的顶点处。对于电荷B≥7，最好是2B半块的矩形或扭曲矩形阵列，尽可能接近正方形。
The baby Skyrme model is studied with a novel choice of potential, V = 1/2φ 2 3 . This "easy plane" potential vanishes at the equator of the target two-sphere. Hence, in contrast to previously studied cases, the boundary value of the field breaks the residual SO(2) internal symmetry of the model. Consequently, even the unit charge Skyrmion has only discrete symmetry and consists of a bound state of two half lumps. A model of long-range inter-Skyrmion forces is developed wherein a unit Skyrmion is pictured as a single scalar dipole inducing a massless scalar field tangential to the vacuum manifold. This model has the interesting feature that the two-Skyrmion interaction energy depends only on the average orientation of the dipoles relative to the line joining them. Its qualitative predictions are confirmed by numerical simulations. Global energy minimizers of charges B = 1, ..., 14, 18, 32 are found numerically. Up to charge B = 6, the minimizers have 2B half lumps positioned at the vertices of a regular 2B-gon. For charges B ≥ 7, rectangular or distorted rectangular arrays of 2B half lumps are preferred, as close to square as possible.