量子场论中发散的隔离与排斥
Isolation and Expulsion of Divergences in Quantum Field Theory
摘要：
在标量量子场模型的量子化中，通过格空间泛函积分产生的发散可能归因于一个单一的积分变量，这一事实是通过表明，如果该单一的积分变量的被积函数被适当地改变，那么微扰展开成为有序有限和发散自由。本文最后简要回顾了目前的建议，如何一个辅助的，非经典的潜力添加到晶格作用的相对论性标量场量子化可能会自动呈现类似的变化的被积函数，从而可能导致，以及非平凡和发散的结果。
英文摘要：
Divergences that arise in the quantization of scalar quantum field models by means of a lattice-space functional integration may be attributed to a single integration variable, and this fact is demonstrated by showing that if the integrand for that single integration variable is appropriately changed, then a perturbation expansion becomes order-by-order finite and divergence free. The paper concludes with a brief review of a current proposal of how an auxiliary, nonclassical potential added to the lattice action of a relativistic scalar field quantization may automatically render an analogous change of the integrand, and thus may lead, as well, to nontrivial and divergence-free results.
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