Magnetic Helicity in Sphaleron Debris

TL;DR

This paper presents an analytical method to evaluate magnetic helicity in sphaleron decay debris, linking baryogenesis to magnetogenesis and showing helicity conservation at late times.

Contribution

It introduces a new analytical technique to connect sphaleron decay processes with magnetic helicity and cosmic magnetic field generation.

Findings

Baryon number production results in left-handed magnetic fields.

Magnetic helicity remains conserved at late times.

The work explicitly connects sphaleron decay to cosmic magnetogenesis.

Abstract

We develop an analytical technique to evaluate the magnetic helicity in the debris from sphaleron decay. We show that baryon number production leads to left-handed magnetic fields, and that the magnetic helicity is conserved at late times. Our analysis explicitly demonstrates the connection between sphaleron-mediated cosmic baryogenesis and cosmic magnetogenesis.