A diff-invariant 1+1d QFT with divergent central charge?

  • Context: Graduate 
  • Thread starter Thread starter quelarion
  • Start date Start date
  • Tags Tags
    Charge Divergent Qft
Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
Sign up Log in
2 replies · 1K views
quelarion
Messages
9
Reaction score
0
We know that a free scalar field on a diff-invariant 1+1 dimensional background (i.e. bosonic string theory on the worldsheet) contributes to the central charge of the Virasoro algebra with a constant term.

Is there any examples of a 1+1d QFT that has instead a central charge contribution that diverges when the regularization cut off is removed in the canonical quantization approach?
 
Physics news on Phys.org
PeterDonis said:
Shoudn't this be in the Quantum Physics forum?

Well, I thought that since we are talking of a quantum gravity related problem this was the best section, but maybe you are right.
Admins, please move if you think it's better.