Comment on "A try for dark energy in quantum field theory: The vacuum energy of neutrino field"

TL;DR

This paper critiques a recent proposal linking neutrino mass scale to dark energy, clarifying that the calculation only provides a threshold correction and cannot account for the observed vacuum energy magnitude.

Contribution

It clarifies the limitations of a previous quantum field theoretic approach to explaining dark energy via neutrino vacuum energy.

Findings

The computed quantity is a threshold correction, not the actual vacuum energy.

The proposed mechanism cannot explain the smallness of dark energy.

The critique emphasizes the need for alternative explanations.

Abstract

It was recently suggested (arxiv:2410.06604) that the small value of the dark energy of the universe could be explained in terms of the scale of neutrino masses through a simple quantum field theoretic mechanism. I clarify that the quantity computed is only a threshold correction to the vacuum energy at the low $m_\nu$ scale, and therefore cannot explain the magnitude of the vacuum energy.