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

  1. Mar 6, 2013 #1
    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?
  2. jcsd
  3. Mar 6, 2013 #2


    Staff: Mentor

    Shoudn't this be in the Quantum Physics forum?
  4. Mar 6, 2013 #3
    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.
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