哈密顿场论的数学重整化
综合物理
2015-06-19 v3
摘要
我们在无限维Weyl-Moyal代数中，对任意依赖于时间的哈密顿量以及任意时间间隔，严格定义了薛定谔方程的重整化演化算子。我们指出，对于可重整化场论，在相互作用绘景中，且时间间隔为整个实轴时，我们的构造给出了微扰量子场论的标准重整化S矩阵和格林函数。
引用
@article{arxiv.1503.03000,
title = {Mathematical renormalization of Hamiltonian field theories},
author = {A. V. Stoyanovsky},
journal= {arXiv preprint arXiv:1503.03000},
year = {2015}
}
备注
This paper has been withdrawn by the author because the renormalization constructed in it is not compatible with renormalization in perturbative quantum field theory. Main Theorem of \S5 is not true