New Alain Connes Paper: Read Now

  • Level: Graduate 
  • Thread starter Thread starter marcus
  • Start date Start date
  • Tags Tags
    Paper
Join the discussion
Registration is free. Start your own thread to ask a follow-up.
5 replies · 4K views
Physics news on Phys.org
It seems the new recruitment, Matilde Marcolli, is very diligent!
 
Do I read this correctly, they have a generalization of the renormalization "group"? One that really is a group?
 
selfAdjoint said:
Do I read this correctly, they have a generalization of the renormalization "group"? One that really is a group?

The dream of Cartier and the Grothendieck's of this world! Yep - the cosmic Galois group. Of course now we just need to sort out the noncommutative case...
 
I am reading the paper now. The beginning, where they go over the dimesnional regularization and minimal subtraction is just what I have needed for a long time. I am a receptive-minded person, which means I have to have a minimal structure for data in my head before I can really take it in. This ultraclear summary presents what I have needed to get behind the calculational facade of dimensional regularization. Am now onto the divergent graph material, which is unfamiliar to me but still very clear. I am so glad this paper exists!