论文标题
在Dirac Monopole理论中旋转奇异字符串的量规变换上
On the gauge transformation for the rotation of the singular string in the Dirac monopole theory
论文作者
论文摘要
在磁性单极和电荷的量子机械相互作用的狄拉克理论中，矢量电位从特定方向沿原点到无穷大 - 所谓的狄拉克字符串是奇异的。施加了著名的量化条件，可以通过量规变换任意旋转附着在单极上的奇异字符串，因此在物理上无法观察到。通过得出其分析表达并分析其属性，我们表明，量规函数$χ（{\ bf r}）$将旋转字符串旋转到另一个字符串具有相当复杂的行为，具体取决于位置变量$ {\ bf r} $从两根平面扩展的位置变量$ {\ bf r} $。因此，文献中的一些误解被澄清了。
In the Dirac theory of the quantum-mechanical interaction of a magnetic monopole and an electric charge, the vector potential is singular from the origin to infinity along certain direction - the so called Dirac string. Imposing the famous quantization condition, the singular string attached to the monopole can be rotated arbitrarily by a gauge transformation, and hence is not physically observable. By deriving its analytical expression and analyzing its properties, we show that the gauge function $χ({\bf r})$ which rotates the string to another one has quite complicated behaviors depending on which side from which the position variable ${\bf r}$ gets across the plane expanded by the two strings. Consequently, some misunderstandings in the literature are clarified.
