String Chopping and Time-ordered Products of Linear String-localized Quantum Fields

@article{Cardoso2017StringCA,
title={String Chopping and Time-ordered Products of Linear String-localized Quantum Fields},
author={L. Cardoso and J. Mund and J. C. V'arilly},
journal={Mathematical Physics, Analysis and Geometry},
year={2017},
volume={21},
pages={1-24}
}

For a renormalizability proof of perturbative models in the Epstein–Glaser scheme with string-localized quantum fields, one needs to know what freedom one has in the definition of time-ordered 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 n-tuples of strings which cannot be chronologically ordered. We resolve it by showing that almost all such string configurations can be dissected into finitely many… CONTINUE READING