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Non invariant zeta-function regularization in quantum Liouville theory

Pietro Menotti
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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.

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Pietro Menotti. 2006-12-26. Non invariant zeta-function regularization in quantum Liouville theory. https://doi.org/10.1016/j.physletb.2007.05.053

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