Towards Exact Quantum Loop Results in the Theory of General Relativity

ABSTRACT

We show that, by using resummation techniques based on the extension of the methods of Yennie, Frautschi and Suura to Feynman’s formulation of Einstein’s theory, we get calculable loop corrections that are even (superficially) free of UV divergences. The UV finiteness of the loops results from resumming large IR terms ∂(GN|k² |ln|k² |)n, n = 1,…,∞ for |k²| → ∞, where GN is Newton’s constant. We illustrate our results with applications of some phenomenological interest.