Non invariant zeta-function regularization in quantum Liouville theory
arXiv:hep-th/0612270 · doi:10.1016/j.physletb.2007.05.053
Abstract
We consider two possible zeta-function regularization schemes of quantum Liouville theory. One refers to the Laplace-Beltrami operator covariant under conformal transformations, the other to the naive non invariant operator. The first produces an invariant regularization which however does not give rise to a theory invariant under the full conformal group. The other is equivalent to the regularization proposed by Zamolodchikov and Zamolodchikov and gives rise to a theory invariant under the full conformal group.
10 pages, LaTex