Gravity triggered neutrino condensates

TL;DR

This paper investigates whether gravity can induce neutrino condensates that break symmetry and generate neutrino masses, potentially explaining early universe inflation, using Schwinger-Dyson equations.

Contribution

It explores a novel mechanism where gravitational attraction triggers neutrino condensates, leading to dynamical symmetry breaking and neutrino mass generation.

Findings

Dynamical symmetry breaking is not allowed at lowest order.

Higher order effects can enhance symmetry breaking.

Generated neutrino masses are in the see-saw range.

Abstract

In this work we use the Schwinger-Dyson equations to study the possibility that an enhanced gravitational attraction triggers the formation of a right handed neutrino condensate, inducing dynamical symmetry breaking and generating a Majorana mass for the right handed neutrino at a scale appropriate for the see-saw mechanism. The composite field formed by the condensate phase could drive an early epoch of inflation. We find that to the lowest order, the theory does not allow dynamical symmetry breaking. Nevertheless, thanks to the large number of matter fields in the model, the suppression by additional powers in G of higher order terms can be compensated, boosting them up to their lowest order counterparts. This way chiral symmetry can be broken dynamically and the infrared mass generated turns out to be in the expected range for a successful see-saw scenario.