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 neutrino condensate scale 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.
Highlights
Neutrinos are unique amongst the Standard Model (SM) fermions in their mass’s tininess, the weakness of their interactions and their capacity to be their own anti-particles
The work presented in this paper is structured as follows: in Sect. 2 we review the Schwinger–Dyson equations and discuss the leading order diagram which contributes to gravitationally induced neutrino chiral symmetry breaking
We found there are two factors which support a gravitationally induced neutrino condensate: the scale of the condensate, Λ, and the particle content as parametrised by A and B
Summary
Neutrinos are unique amongst the Standard Model (SM) fermions in their mass’s tininess, the weakness of their interactions and their capacity to be their own anti-particles. Such features suggest neutrinos acquire their mass differently from the quarks and charged leptons. The masses of the new particles required to complete the lepton-number violating Weinberg operator are larger than the electroweak scale. We use the Schwinger–Dyson equations to demonstrate that an enhanced gravitational attraction can trigger the formation of an active neutrino condensate which induces dynamical symmetry breaking.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
