Manifestation of metric renormalization in quantum $R^2$--gravity

Abstract

The renormalization group method in $R^2$-gravity without matter fields is discussed. A criterion for the existence of the renormalization constant for the metric has been found, two-loop higher order poles have been calculated, a relation which allows us to find the one-loop renormalization constant of the Newtonian constant has been suggested.

LaTeX, 8 pages