One loop divergences in quantum gravity coupled with nonlocal matter fields

TL;DR

This paper investigates how nonlocal scalar fields influence one-loop divergences in quantum gravity, showing that certain nonlocal modifications can eliminate non-renormalizable divergences, though vacuum energy remains divergent.

Contribution

It demonstrates that nonlocal scalar field propagators approaching a constant at high momentum remove non-renormalizable divergences in quantum gravity.

Findings

Nonlocal scalar fields can eliminate certain divergences.

Vacuum energy divergence persists.

Comments on nonlocal modifications for other fields.

Abstract

We study the matter one-loop quantum corrections to the gravitational sector in a gravity theory coupled with a nonlocal scalar field. We find that non-renormalizable divergences disappear when the propagator of the scalar field approaches to a non-zero constant at high momentum, while the vacuum energy is still divergent. We also comment on non-local modification of fermion, gauge field and graviton.