Non-local partner to the cosmological constant

TL;DR

The paper demonstrates that quantum corrections from massive particles induce a non-local gravitational term similar to the cosmological constant, with a fixed, large coefficient that cannot be fine-tuned, affecting scales above the particle's mass.

Contribution

It introduces a novel non-local term in the gravitational effective action generated by massive particles, expanding understanding of quantum effects in gravity.

Findings

Quantum corrections produce a non-local term akin to the cosmological constant.

The non-local term has a fixed, large coefficient that cannot be fine-tuned.

The interaction is relevant at scales above the particle's mass.

Abstract

I show that quantum corrections due to a massive particle generates a non-local term in the gravitational effective action which is of zeroth order in the derivative expansion, much like the cosmological constant. It carries a fixed coefficient which is very much larger than the cosmological constant, and which cannot be fine-tuned. The interaction is active at scales above the particle's mass. This is of the form $m^4 (\frac1{\Box}R)_x "<x|\log (\Box +m^2 )|y >" (\frac1{\Box}R)_y$, and I discuss the meaning of $ "<x|\log (\Box +m^2) |y >" $ and other aspects of its interpretation.