Light neutrino masses from gravitational condensation: the Schwinger-Dyson approach

TL;DR

This paper explores how gravitational interactions can induce neutrino masses through a non-perturbative approach, solving Schwinger-Dyson equations to identify the condensate scale and particle requirements, suggesting a near-Planck scale origin.

Contribution

It demonstrates that gravitational interactions can generate neutrino masses via dynamical chiral symmetry breaking using the Schwinger-Dyson formalism.

Findings

Neutrino masses can originate from gravitational effects.

The condensate scale is near the Planck scale.

Minimal particle content suffices for the mechanism.

Abstract

In this work we demonstrate that non-zero neutrino masses can be generated from gravitational interactions. We solve the Schwinger-Dyson equations to find a non-trivial vacuum thereby determining the scale of the neutrino condensate and the number of new particle degrees of freedom required for gravitationally induced dynamical chiral symmetry breaking. We show for minimal beyond the Standard Model particle content, the scale of the condensation occurs close to the Planck scale.