Finite nature of a 2d induced gravity in perturbation theory
Odintsov S. D., Shapiro I. L.
The structure of the divergences of a local 2d induced gravity in a generally covariant linear gauge of a fairly general type is analyzed. The effective action is shown to be finite for one particular choice of this gauge. This result agrees completely with the idea that the theory is exactly solvable in the light-cone gauge.