On higher-derivative dilatonic gravity in two dimensions

Details On higher-derivative dilatonic gravity in two dimensions On higher-derivative dilatonic gravity in two dimensions

1995-09-12

arxiv.org/abs/hep-th/9509064v1

Mod.Phys.Lett.A10:2071-2080,1995

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Latex

Scientific paper

10.1142/S0217732395002222

We discuss lowering the order of the two-dimensional scalar-tensor $R^2$ quantum gravity, by mapping the most general version of the model to a multi-dilaton gravity, which is essentially the sigma-model coupled with Jackiw-Teitelboim-like gravity. In the continuation of our previous research, we calculate the divergent part of the one-loop effective action in a 2D scalar-tensor (dilatonic) gravity with Ra2-term, which belongs to a specific degenerate case and cannot be obtained from the general expression. The corresponding finiteness conditions are found.

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