Spin chiral current induced by curvature of space-time

TL;DR

This paper derives a relation between space-time curvature and chiral current in a brane universe model, linking gravitational gauge fields to particle chirality and early universe evolution.

Contribution

It introduces a novel expression for chiral current based on the variation of spin connection gauge fields in a brane universe context.

Findings

Chiral current is expressed through the variation of spin connection gauge fields.

Second derivatives of gravitational gauge fields influence chiral current variation.

Implications for early universe evolution are discussed.

Abstract

Klein-Gordon equation is derived for a particle in the brane model of Universe. It is compared with squared Dirac-Fock-Ivanenko equation and expression for a chiral current is obtained by this comparison. This expression defines chiral current through variation of spin connection gauge field that arises due to the symmetry in respect to local Lorenz transformations. So, the second derivative of gravitational gauge field determines variation of chiral current responsible for variation of mass. The role of these processes on the early stages of Universe evolution is discussed.