Short Distance Freedom of Quantum Gravity

Abstract

Fourth order derivative gravity in 3+1-dimensions is perturbatively renormalizable and is shown to describe a unitary theory of gravitons in a limited coupling parameter space. The running gravitational constant which includes graviton contribution is computed. Generically, gravitational Newton's constant vanishes at short distances in this perturbatively renormalizable and unitary theory.

Comments: 8 pages, 2 figures, abstract modified, a paragraph added, new references added, typos corrected, version to appear in Physics Letter B