Renormalization and quantum field theory

  title={Renormalization and quantum field theory},
  author={Richard E. Borcherds},
  journal={arXiv: Mathematical Physics},
  • 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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