The Interaction of Dirac Particles with Non-Abelian Gauge Fields and Gravity - Bound States

TL;DR

This paper explores how Dirac particles interact with gravity and non-Abelian gauge fields, deriving equations and finding stable soliton-like solutions through numerical methods, revealing new stable configurations even with weak gravity.

Contribution

It derives Einstein-Dirac-Yang/Mills equations for a spherically symmetric system and discovers stable soliton-like solutions numerically, highlighting their properties and stability.

Findings

Existence of stable soliton-like solutions.

Solutions remain stable at weak gravitational coupling.

Numerical analysis of Dirac particles in combined gravity and gauge fields.

Abstract

We consider a spherically symmetric, static system of a Dirac particle interacting with classical gravity and an SU(2) Yang-Mills field. The corresponding Einstein-Dirac-Yang/Mills equations are derived. Using numerical methods, we find different types of soliton-like solutions of these equations and discuss their properties. Some of these solutions are stable even for arbitrarily weak gravitational coupling.