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arXiv · hep-th/9201021

Scalar-Tensor Quantum Gravity in Two Dimensions

J. Russo·A. A. Tseytlin
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Abstract

We discuss some classical and quantum properties of 2d gravity models involving metric and a scalar field. Different models are parametrized in terms of a scalar potential. We show that a general Liouville-type model with exponential potential and linear curvature coupling is renormalisable at the quantum level while a particular model (corresponding to D=2 graviton-dilaton string effective action and having a black hole solution) is finite. We use the condition of a ``split" Weyl symmetry to suggest possible expressions for the ``effective" action which includes the quantum anomaly term.

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J. Russo, A. A. Tseytlin. 1992-01-24. Scalar-Tensor Quantum Gravity in Two Dimensions. https://doi.org/10.1016/0550-3213(92)90187-g

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