EWPT Nucleation With MSSM and Electromagnetic Field Creation

TL;DR

This paper models the electroweak phase transition in the MSSM, deriving equations for gauge and electromagnetic fields, and estimates the magnetic fields generated during bubble nucleation, potentially seeding cosmic magnetic fields.

Contribution

It presents a novel derivation of electromagnetic field equations during EWPT in MSSM and estimates magnetic field generation from bubble collisions.

Findings

Electromagnetic fields are generated during EWPT bubble nucleation.

Electron currents contribute significantly to magnetic field creation.

Results suggest a mechanism for seeding cosmic magnetic fields.

Abstract

Using EW-MSSM field theory, so the EWPT is first order, we derive the equations of motion for the gauge fields. With an isospin ansatz we derive e.o.m. for the electrically charged W fields uncoupled from all other fields. These and the lepton currents serve as the current for the Maxwell-like e.o.m. for the electromagnetic field. The electromagnetic field arising during EWPT bubble nucleation without leptons is found. We then calculate the electron current contribution, which is seen to be quite large. This provides the basis for determinining the magnetic field created by EWPT bubble collisions, which could seed galactic and extra-galactic magnetic fields.