ON HIGHER DERIVATIVE DILATONIC GRAVITY IN TWO DIMENSIONS
1995 ◽
Vol 10
(28)
◽
pp. 2071-2079
◽
Keyword(s):
We discuss lowering the order of the two-dimensional scalar-tensor R2 quantum gravity, by mapping the most general version of the model to a multi-dilaton gravity, which is essentially the sigma-model coupled with the Jackiw-Teitelboim-like gravity. In the continuation of our previous research, we calculate the divergent part of the one-loop effective action in a 2-D scalar-tensor (dilatonic) gravity with the R2-term, which belongs to a specific degenerate case and cannot be obtained from the general expression. The corresponding finiteness conditions are found.