论文标题
非统计统计领域理论
Non-Archimedean Statistical Field Theory
论文作者
论文摘要
我们以严格的数学方式构建在P-Adic时空上相互作用的量子场理论。主要的结果是在功能空间上构建了一个度量,该措施允许对分区功能进行严格的定义。此处介绍的方法的优点是,所有扰动计算都可以使用功能衍生物以标准方式进行,但在数学上进行了严格的方式进行。
We construct in a rigorous mathematical way interacting quantum field theories on a p-adic spacetime. The main result is the construction of a measure on a function space which allows a rigorous definition of the partition function. The advantage of the approach presented here is that all the perturbation calculations can be carried out in the standard way using functional derivatives, but in a mathematically rigorous way.