Non invariant zeta-function regularization in quantum Liouville theory

Details Non invariant zeta-function regularization in quantum Liouville theory Non invariant zeta-function regularization in quantum Liouville theory

2006-12-26

arxiv.org/abs/hep-th/0612270v1

Phys.Lett.B650:432-439,2007

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTex

Scientific paper

10.1016/j.physletb.2007.05.053

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.

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