The 1-loop graviton self-energy from a massless fermion loop is derived on any cosmological background, and the resulting de Sitter corrections to gravitational waves and the Newtonian potential are resummed via a renormalization-group variant.
One-loop quantum electrodynamic correction to the gravitational potentials on de Sitter spacetime
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abstract
We compute the one-loop photon contribution to the graviton self-energy on a de Sitter background and use it to solve the linearized Einstein equation for a point mass. Our results show that a comoving observer sees a logarithmic spatial running Newton's constant. Equivalently, a static observer reports a secular suppression of the Newtonian potential.
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Resumming Fermion Loops for Inflationary Gravity
The 1-loop graviton self-energy from a massless fermion loop is derived on any cosmological background, and the resulting de Sitter corrections to gravitational waves and the Newtonian potential are resummed via a renormalization-group variant.