Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Forgot your password?
• Apply for membership

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeAug 5th 2017
   • PermaLink
   Author: Urs
   Format: MarkdownItexstarted a minimum at _[[main theorem of perturbative renormalization theory]]_

   started a minimum at main theorem of perturbative renormalization theory

2. • CommentRowNumber2.
   • CommentAuthorDavid_Corfield
   • CommentTimeAug 5th 2017
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItex>related by a unique natural transformation $Z \colon V \to V'$ So $V$ and $V'$ are functors from where to where?

   related by a unique natural transformation

   So and are functors from where to where?

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeAug 6th 2017
   • (edited Aug 6th 2017)
   • PermaLink
   Author: Urs
   Format: MarkdownItexSorry, 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.

   Sorry, that should have been a

     \mapsto
   

   instead of a

     \to
   

   Have fixed it now.

   So the -matrix 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 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.