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 $Z \colon V \to V'$

   So $V$ and $V'$ 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 $S$-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.