Microlocal Analysis and Interacting Quantum Field Theories: Renormalization on Physical Backgrounds
数学物理
2009-07-09 v1 广义相对论与量子宇宙学
高能物理 - 理论
math.MP
摘要
We present a perturbative construction of interacting quantum field theories on any smooth globally hyperbolic manifold. We develop a purely local version of the Stueckelberg-Bogoliubov-Epstein-Glaser method of renormalization using techniques from microlocal analysis. As byproducts, we describe a perturbative construction of local algebras of observables, present a new definition of Wick polynomials as operator-valued distributions on a natural domain, and we find a general method for the extension of distributions which were defined on the complement of some surfaces.
引用
@article{arxiv.math-ph/9903028,
title = {Microlocal Analysis and Interacting Quantum Field Theories: Renormalization on Physical Backgrounds},
author = {Romeo Brunetti and Klaus Fredenhagen},
journal= {arXiv preprint arXiv:math-ph/9903028},
year = {2009}
}
备注
38 pages, LaTeX with AMSLaTeX style option, Micro.tex macrofile