弯曲局部和整体涡系的有效action和运动方程：场激励的作用
The effective action and equations of motion of curved local and global vortices: Role of the field excitations
摘要：
基于非相对论Abel Higgs和Goldstone模型的相应场论作用量的导数展开，导出了局部和全局弯曲涡的有效作用量.的模量和相位的标量场和规范场（Bogolyubov-安德森模式）的激发的作用，发出和重吸收的旋涡阐明。在局部（规范）磁涡旋的情况下，当使用背景场的规范场强度的横截形式时，它们是消除长距离发散所必需的。在全球涡旋的情况下，考虑到他们的结果在Greiter-Wilczek-Witten形式的有效作用的戈德斯通模式。得到了局部涡和整体涡的横向类马格努斯力和涡的有效质量的表达式，得到了包含场激励项的两类涡的运动方程，并在大、小轮廓位移情况下进行了求解。
英文摘要：
The effective actions for both local and global curved vortices are derived, based on the derivative expansion of the corresponding field theoretic actions of the nonrelativistic Abelian Higgs and Goldstone models. The role of excitations of the modulus and the phase of the scalar field and of the gauge field (the Bogolyubov-Anderson mode) emitted and reabsorbed by vortices is elucidated. In case of the local (gauge) magnetic vortex, they are necessary for cancellation of the long distance divergence when using the transverse form of the electric gauge field strength of the background field. In case of global vortex taking them into account results in the Greiter-Wilczek-Witten form of the effective action for the Goldstone mode. The expressions for transverse Magnus-like force and the vortex effective mass for both local and global vortices are found. The equations of motion of both type of vortices including the terms due to the field excitations are obtained and solved in cases of large and small contour displacements.
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