位置空间中的维数正则化和正则化Epstein-Glaser重整化的森林公式
Dimensional Regularization in Position Space and a Forest Formula for Regularized Epstein-Glaser Renormalization
摘要：
目前的工作包含一个一致的制定的方法的维正则化（DimReg）和最小减法（MS）在Minkowski位置空间。这些方法在微扰代数量子场论（pAQFT）的框架下实现。所开发的方法被用来解决的Epstein-Glaser递归的时间顺序的产品在所有顺序的因果扰动理论的建设。一个解决方案是在Zimmermann意义上的森林公式。一个关系的替代方法重整化理论使用霍普夫代数建立。
英文摘要：
The present work contains a consistent formulation of the methods of dimensional regularization (DimReg) and minimal subtraction (MS) in Minkowski position space. The methods are implemented into the framework of perturbative Algebraic Quantum Field Theory (pAQFT). The developed methods are used to solve the Epstein-Glaser recursion for the construction of time-ordered products in all orders of causal perturbation theory. A solution is given in terms of a forest formula in the sense of Zimmermann. A relation to the alternative approach to renormalization theory using Hopf algebras is established.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
