Radiative corrections in two-dimensional gravity

Abstract

It is shown how one can do perturbative calculations about a flat background in two-dimensional models of quantum gravity. The Jackiw–Teitelboim model and the induced gravitational action of Polyakov are considered. A suitable choice of gauge allows one to employ operator regularization, a symmetry-preserving procedure that is particularly convenient as it does not alter the dimensionality of these models, allowing one to exploit some properties peculiar to two dimensions. A specific example is provided by the graviton two-point function.