# Vacuum Topology and the Electroweak Phase Transition

## TL;DR

This paper explores how the topology of gauge fields influences the electroweak phase transition, demonstrating that non-trivial vacuum topology can generate helical magnetic fields during the transition.

## Contribution

It provides numerical evidence linking vacuum topology to magnetic field generation and helicity in the electroweak phase transition.

## Key findings

- Magnetic fields are produced from non-trivial vacuum topology.
- Helical magnetic fields form when Chern-Simons number changes.
- Topology influences classical dynamics during the phase transition.

## Abstract

We investigate if the topology of pure gauge fields in the electroweak vacuum can play a role in classical dynamics at the electroweak phase transition. Our numerical analysis shows that magnetic fields are produced if the initial vacuum has non-trivial Chern-Simons number, and the fields are helical if the Chern-Simons number changes during the phase transition.