论文标题
非最小O（3）-Sigma模型中的新的解决方案
New class of solutions in the non-minimal O(3)-sigma model
论文作者
论文摘要
为了研究具有非最小耦合的拓扑涡旋，我们构建了一种非典型的O（3）sigma模型，并通过介电函数修改了麦克斯韦项。通过BPS的形式主义，对Sigma模型和真实标量场拓扑领域的涡旋配置进行了研究。对于特定的Ansatz，已知的扭结溶液描述了真实标量场拓扑部门的解决方案。另一方面，在研究纯O（3） - 含量模型的非最小扇区中的涡旋时，可以检测到溶液的出现，该溶液的出现产生了类似于KDV样理论的结构的孤立波。我们观察到，在研究混合模型的研究中，即耦合到真实标量场拓扑领域的O（3）sigma模型的拓扑部门，Vortex解决方案采用了步骤函数的轮廓。然后，当标量场的拓扑部门的扭结与Sigma模型的场相互作用时，它使O（3）-Sigma模型的场解决方案变得极为局限，从而使涡流结构非物理。
For the study of topological vortices with non-minimal coupling, we built a kind of non-canonical O(3)-sigma model, with a Maxwell term modified by a dielectric function. Through the BPS formalism, an investigation is made on possible configurations of vortices in topological sectors of the sigma model and the real scalar field. For a particular ansatz, the solutions of the topological sector of the real scalar field are described by the known kink solutions. On the other hand, when studying the vortices in the non-minimal sector of the pure O(3)-sigma model, it is detected the emergence of solutions that generate solitary waves similar to structures derived from a KdV-like theory. We observed that in the study of mixed models, namely, the topological sector of the O(3)-sigma model coupled to the topological sector of the real scalar field, the vortex solutions assume a profile of a step function. Then, when kinks of the topological sector of the scalar field are interacting with the field of the sigma model, it makes the field solutions of the O(3)-sigma model become extremely localized, making the vortice structures non-physical.
