Renormalization and quantum field theory
arXiv:1008.0129 · doi:10.2140/ant.2011.5.627
Abstract
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 the Wightman axioms, extended to allow time-ordered composite operators over curved spacetimes.
30 pages Revised version fixes a gap in the definition of Feynman measure, and has other minor changes