Flow of hypermagnetic helicity in the embryo of a new phase in the electroweak phase transition

TL;DR

This paper investigates how magnetic helicity evolves during the electroweak phase transition in the early Universe, revealing that the boundary acts as a separator for helicity and that the helicity in the broken symmetry phase is left-handed.

Contribution

It demonstrates that the boundary surface during the electroweak phase transition separates hypermagnetic and Maxwellian phases and influences helicity transfer, with the helicity in the broken phase being left-handed.

Findings

Boundary surface acts as a membrane for magnetic helicity separation.

Helicity in the Maxwellian phase is left-handed if the linking number is negative.

Helicity dynamics are influenced by the boundary between phases.

Abstract

The dynamics of the magnetic helicity during the electroweak phase transition in the early Universe is studied. It is shown that the boundary surface between symmetric (hypermagnetic) phase and Maxwellian phase with a broken symmetry is a membrana for the separation of the magnetic helicity. Assuming the total linking number of knots of hypermagnetic field is negative, it is proved that the helicity rising in the Maxwellian phase is left-handed.