序列代数（C^infinity）中的经典点电子
The classical point-electron in the sequence algebra (C^infinity)^I
摘要：
在arXiv：0806.4682中，自能和自角动量（即，在Colombeau代数中计算了经典点电子的电磁质量和自旋。在本文中，这些量是在更好的已知的“正则化分布”框架中计算的，即，场论中用来处理发散积分、分布及其乘积的习惯设置。其目的是比较这两个框架，并强调为什么Colombeau理论的非线性广义函数可能是物理上的首选设置，使这些计算的原因。特别是，它表明，在Colombeau代数，点电子的质量和自旋是三角函数的平方的{精确}积分，而这只是一个近似的习惯框架。
英文摘要：
In arXiv:0806.4682 the self-energy and self-angular momentum (i.e., electromagnetic mass and spin) of a classical point-electron were calculated in a Colombeau algebra. In the present paper these quantities are calculated in the better known framework of `regularized distributions,' i.e., the customary setting used in field-theory to manipulate diverging integrals, distributions, and their products. The purpose is to compare these two frameworks, and to highlight the reasons why the Colombeau theory of nonlinear generalized functions could be the physically preferred setting for making these calculations. In particular, it is shown that, in the Colombeau algebra, the point-electron's mass and spin are {exact} integrals of squares of delta-functions, whereas this is only an approximation in the customary framework.
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