Quantum power correction to the Newton law

TL;DR

The paper computes the one-loop quantum correction to the Newtonian potential arising from graviton exchange. Using explicit Feynman-diagram calculations with graviton propagators and vertices, it evaluates simple-loop, triangle, and box diagrams, correcting omissions and sign errors in prior analyses. The graviton contribution dominates the quantum correction, yielding a 1/r^3 term with coefficient (121)/(10 pi), leading to a small but conceptually important modification to the Newton law. The study clarifies infrared behavior, provides a consistent framework for nonrenormalizable quantum gravity at this order, and reconciles the quantum results with the classical relativistic corrections where applicable.

Abstract

We have found the graviton contribution to the one-loop quantum correction to the Newton law. This correction results in interaction decreasing with distance as 1/r^3 and is dominated numerically by the graviton contribution. The previous calculations of this contribution to the discussed effect are demonstrated to be incorrect.

Figures (5)

• Figure 1: Photon (neutrino) loop
• Figure 2: Vertices
• Figure 3: Simple loops
• Figure 4: Triangle diagrams
• Figure 5: Box diagrams