The UV behavior of Gravity at Large N

Abstract

A first step in the analysis of the renormalizability of gravity at Large N is carried on. Suitable resummations of planar diagrams give rise to a theory in which there is only a finite number of primitive superficially divergent Feynman diagrams. The mechanism is similar to the the one which makes renormalizable the 3D Gross-Neveu model at large N. Some potential problems in fulfilling the Slavnov-Taylor and the Zinn-Justin equations are also pointed out.

17 pages, 9 figures. To appear on Phys. Rev. D. Two more references, further technical details and the discussion of the KLT relations at large N have been included