Renormalization and quantum field theory
Mathematical Physics
2012-01-27 v2 math.MP
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.
Cite
@article{arxiv.1008.0129,
title = {Renormalization and quantum field theory},
author = {R. E. Borcherds},
journal= {arXiv preprint arXiv:1008.0129},
year = {2012}
}
Comments
30 pages Revised version fixes a gap in the definition of Feynman measure, and has other minor changes