真空装药分馏再检验
Vacuum charge fractionlization re-examined
摘要：
我们考虑了一个基于一维Dirac方程的量子化费米子场模型，重新研究了当外加势作用时真空的费米子数或真空电荷的变化情况，利用这个模型，真空电荷的分数化已经在文献中得到了证明，即外加势可以使真空电荷从零变为分数.在这个过程中，电荷守恒似乎被破坏了。这是因为在本文中所考察的电荷只是真空总电荷的一部分。总电荷守恒。除非狄拉克方程有一个零模，否则它不会被分数化。另外两个令人困惑的方面进行了讨论。一个是关于连续极限的使用，另一个是关于当前算子的正则化。这些方面的真空问题的影响进行了探讨。
英文摘要：
We consider a model of a quantized fermion field that is based on the Dirac equation in one dimensional space and re-examine how the fermion number of the vacuum, or the vacuum charge, varies when an external potential is switched on. With this model, fractionization of the vacuum charge has been illustrated in the literature by showing that the external potential can change the vacuum charge from zero to a fractional number. Charge conservation then appears violated in this process. This is because the charge that has been examined in this context is only a part of the total charge of the vacuum. The total charge is conserved. It is not fractionalized unless the Dirac equation has a zero mode. Two other confusing aspects are discussed. One is concerned with the usage of the continuum limit and the other with the regularization of the current operator. Implications of these aspects of the vacuum problem are explored.
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