# A source fragmentation approach to interacting quantum field theory

September 09, 2021

A corollary to the Reeh-Schlieder theorem is proved: that the time-ordered
Vacuum Expectation Values and the S-matrix of a regularized Lagrangian quantum
theory can be approximated by a local operator that uses nonlinear functionals
of a locally supported source function. The use of operator-valued nonlinear
functionals of the source effectively introduces many abstract fragments of the
source to give a top-down construction of interacting quantum fields, in
contrast to a bottom-up blocking and scaling construction.

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