Scalar-Tensor Quantum Gravity in Two Dimensions

Details Scalar-Tensor Quantum Gravity in Two Dimensions Scalar-Tensor Quantum Gravity in Two Dimensions

1992-01-12

arxiv.org/abs/hep-th/9201021v2

Nucl.Phys.B382:259-275,1992

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

10.1016/0550-3213(92)90187-G

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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