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Putting positrons into classical Dirac field theory
Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics ( IF 1.663 ) Pub Date : 2020-02-01 , DOI: 10.1016/j.shpsb.2019.10.003
Charles T. Sebens

One way of arriving at a quantum field theory of electrons and positrons is to take a classical theory of the Dirac field and then quantize. Starting with the standard classical field theory and quantizing in the most straightforward way yields an inadequate quantum field theory. It is possible to fix this theory by making some modifications (such as redefining the operators for energy and charge). Here I argue that we ought to make these modifications earlier, revising the classical Dirac field theory that serves as the starting point for quantization (putting positrons into that theory and removing negative energies). Then, quantization becomes straightforward. Also, the physics of the Dirac field is made more similar to the physics of the electromagnetic field and we are able to better understand electron spin.



中文翻译:

将正电子纳入经典狄拉克场论

得出电子和正电子量子场论的一种方法是采用狄拉克场的经典理论然后进行量化。从标准经典场论开始,以最直接的方式进行量化会导致量子场论的不足。通过进行一些修改(例如重新定义能量和电荷的算子)可以修正该理论。在这里,我认为我们应该更早地进行这些修改,以修改经典的狄拉克场论作为量化的起点(将正电子引入该理论并消除负能量)。然后,量化变得简单明了。同样,狄拉克场的物理学与电磁场的物理学更相似,我们能够更好地理解电子自旋。

更新日期:2020-02-01
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