Gravitationally localized states of two neutral fermions interacting with a Higgs field

TL;DR

This paper explores localized states of two neutral fermions interacting with a Higgs field and gravity, revealing that strong coupling can lead to stable, massive fermionic states with decreasing total mass.

Contribution

It extends the Einstein-Dirac formalism to include Higgs interactions, demonstrating new stable localized fermion states with large masses due to strong coupling effects.

Findings

Total mass can decrease with increasing fermion mass at strong coupling.

Large-mass fermionic localized states are possible with Higgs interaction.

Higgs coupling significantly alters fermion state properties.

Abstract

We present localized 'particle-like' states composed of a pair of neutral fermions interacting with a scalar Higgs field and the metric of spacetime, extending the Einstein-Dirac formalism introduced by Finster, Smoller, and Yau [Phys. Rev. D 59, 104020 (1999)]. We demonstrate that, when the coupling between the fermions and the Higgs field is strong, there is a class of states in which the total (ADM) mass no longer increases proportionally to the mass of the constituent fermions; indeed it decreases. This phenomenon enables fermionic particles with much larger masses than in the Higgs-free case to form localized states.