无源力对旋量的非平凡效应：朝向Aharonov-Bohm引力效应？
Non-Trivial Effects of Sourceless Forces for Spinors: Toward an Aharonov-Bohm gravitational effect?
摘要：
旋量场被写成极坐标形式，以便计算它们的张量连接，一个包含相同连接信息的对象，但也被证明是一个实张量。由此，人们仍然可以计算黎曼曲率，编码关于引力的信息。但是，即使在没有引力的情况下，当黎曼曲率消失时，张量联系仍然可能不为零，这可能对物质产生影响。这是示出的例子中的两个已知的可积的情况下：氢原子和谐振子。旋量可以感受到无源作用的影响，这一事实在电动力学中已经被称为阿哈罗诺夫-玻姆现象。电动力学的情况和这里遇到的情况之间的平行将被绘制。还强调了关于相对论效应及其在量子场论一般处理中的作用的一些想法。
英文摘要：
Spinor fields are written in polar form so as to compute their tensorial connection, an object that contains the same information of the connection but which is also proven to be a real tensor. From this, one can still compute the Riemann curvature, encoding the information about gravity. But even in absence of gravity, when the Riemann curvature vanishes, it may still be possible that the tensorial connection remains different from zero, and this can have effects on matter. This is shown with examples in the two known integrable cases: the hydrogen atom and the harmonic oscillator. The fact that a spinor can feel effects due to sourceless actions is already known in electrodynamics as the Aharonov-Bohm phenomenon. A parallel between the electrodynamics case and the situation encountered here will be drawn. Some ideas about relativistic effects and their role for general treatments of quantum field theories are also underlined.
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