从因果观点看量子场论中的正则化
Regularization in quantum field theory from the causal point of view
摘要：
详细介绍了微扰量子场论的因果方法，这可以追溯到1973年Henri Epstein和Vladimir Jurko Glaser的开创性工作。因果微扰论是重整化理论的一种严格的数学方法，它使微扰量子场论的理论体系建立在一个坚实的数学基础上成为可能。爱泼斯坦和格拉泽解决了这一问题的一类特殊的分布，时间有序的产品，满足因果关系的条件，这本身是一个基本的要求，在公理量子场论。在他们最初的工作中，爱泼斯坦和格拉泽只研究了涉及标量粒子的理论。在这篇评论中，该方法的扩展，以更高的自旋，包括引力理论，提出。此外，给出了具体的例子，以突出因果方法和其他正则化方法之间的技术差异，例如维度正则化。
英文摘要：
The causal approach to perturbative quantum field theory is presented in detail, which goes back to a seminal work by Henri Epstein and Vladimir Jurko Glaser in 1973. Causal perturbation theory is a mathematically rigorous approach to renormalization theory, which makes it possible to put the theoretical setup of perturbative quantum field theory on a sound mathematical basis. Epstein and Glaser solved this problem for a special class of distributions, the time-ordered products, that fulfill a causality condition, which itself is a basic requirement in axiomatic quantum field theory. In their original work, Epstein and Glaser studied only theories involving scalar particles. In this review, the extension of the method to theories with higher spin, including gravity, is presented. Furthermore, specific examples are presented in order to highlight the technical differences between the causal method and other regularization methods, like, e.g. dimensional regularization.
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