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started a minimum at main theorem of perturbative renormalization theory
related by a unique natural transformation $Z \colon V \to V'$
So $V$ and $V'$ are functors from where to where?
Sorry, that should have been a
\mapsto
instead of a
\to
Have fixed it now.
So the $S$-matrix $S$ reads in a local functional (the interaction term) and produces an operator valued distribution (which in turn sends any adiabatic switching to the corresponding scattering operator) and the operation $Z$ sends local interactions to local interactions (adding or removing “counter-term” interactions at higher/lower energy).
Eventually I’ll write out the statement of the theorem and the proof in full detail. For the moment I nedded to record the references where the proofs may be found.
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