论文标题
在非阿贝尔单孔存在下的费米亚动力学
Fermion dynamics in presence of non abelian monopoles
论文作者
论文摘要
在本字母中，研究了一个旋转一半粒子的动力学，该动力学与非阿贝尔电荷的旋转粒子与非abelian单极（如构型）相互作用。在非旋转情况下，这些方程对应于黄的[1]，并且相关的动力学已在[2] - [3]中进行了广泛的研究。在[4]中研究了Abelian中旋转粒子的经典极限，在此纯粹用古典术语获得了对著名的Callan-Rubakov效应[5] - [6]的解释。目前的工作研究了一种插值情况，其中旋转和非阿贝利亚电荷被打开。相应的方程式是通过考虑一些有关旋转颗粒的早期作品来获得的[7] - [9]。在这种情况下，研究了保护定律，发现能量和角动量的某些概括在特定的限制中是保守的。这是反思，非亚伯相互作用包含量规场的四分之一相互作用，这破坏了导致这些保护定律的对称性。分析粒子的进攻，并将其与其Abelian对应物进行比较。
In the present letter, the dynamics of a spin one-half particle with non abelian charge, interacting with a non abelian monopole like configuration, is studied. In the non spinning case, these equations correspond to the Wong ones [1], and the associated dynamics has been extensively studied in [2]-[3]. The classical limit of a spinning particle in an abelian was studied in [4], where an interpretation of the celebrated Callan-Rubakov effect [5]-[6] was obtained in purely classical terms. The present work studies an interpolating situation, in which spin and non abelian charges are turned on. The corresponding equations are obtaining by taking into account some earlier works about spinning particles [7]-[9]. The conservation laws are studied in this context, and it is found that energy and some generalization of angular momentum are conserved just in particular limits. This is a reflection that the non abelian interaction contains gauge field quartic interaction, which spoils the symmetries leading to these conservation laws. The precession of the particle is analyzed and compared with its abelian counterpart in this limit.
