String Chopping and Timeordered Products of Linear Stringlocalized Quantum Fields
Abstract
For a renormalizability proof of perturbative models in the EpsteinGlaser scheme with stringlocalized quantum fields, one needs to know what freedom one has in the definition of timeordered products of the interaction Lagrangian. This paper provides a first step in that direction. The basic issue is the presence of an open set of ntuples of strings which cannot be chronologically ordered. We resolve it by showing that almost all such string configurations can be dissected into finitely many pieces which can indeed be chronologically ordered. This fixes the timeordered products of linear field factors outside a nullset of string configurations. (The extension across the nullset, as well as the definition of timeordered products of Wick monomials, will be discussed elsewhere).
 Publication:

Mathematical Physics, Analysis and Geometry
 Pub Date:
 March 2018
 DOI:
 10.1007/s1104001792589
 arXiv:
 arXiv:1709.03429
 Bibcode:
 2018MPAG...21....3C
 Keywords:

 Mathematical Physics;
 High Energy Physics  Theory
 EPrint:
 23 pages, 4 figures