Exact Gravitational Gauge Structures and the Dirac Equation

TL;DR

This paper explores the emergence of exact gauge structures in the evolution of spin-1/2 particles within conformally flat space-times, analyzing their Berry potentials and implications for various cosmological models.

Contribution

It introduces the concept of exact gauge structures in the context of the Dirac equation in curved space-times, highlighting their Abelian or non-Abelian nature based on mass degeneracy.

Findings

Berry potentials can be Abelian or non-Abelian

Examples include de Sitter universes and maximal acceleration

Exact gauge structures influence particle evolution in curved space-time

Abstract

Exact gauge structures arise in the evolution of spin-1/2 particles in conformally flat space-times. The corresponding Berry potentials can be Abelian or non-Abelian depending on the mass degeneracy of the system considered. Examples include de Sitter universes and maximal acceleration.