2010/08/31 by R. E. Borcherds · 2 citations
Physics and Astronomy · Mathematics · #math-ph #math.MP #msc:81T15
paper · pdf · doi:10.2140/ant.2011.5.627
published as Algebra & Number Theory 5-5 (2011), 627-658 · 30 pages Revised version fixes a gap in the definition of Feynman measure, and has other minor changes
arxiv created 2011/03/09 · arxiv updated 2012/01/27
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.