# Renormalization and quantum field theory

@article{Borcherds2010RenormalizationAQ,
title={Renormalization and quantum field theory},
author={Richard E. Borcherds},
journal={arXiv: Mathematical Physics},
year={2010}
}
• R. Borcherds
• Published 31 July 2010
• Physics
• arXiv: Mathematical Physics
The aim of this paper is to describe how to use regularization and renormalization to construct a perturbative quantum field theory from a Lagrangian. We first define renormalizations and Feynman measures, and show that although there need not exist a canonical Feynman measure, there is a canonical orbit of Feynman measures under renormalization. We then construct a perturbative quantum field theory from a Lagrangian and a Feynman measure, and show that it satisfies perturbative analogues of…
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