Spectra of Magnetic Fields Injected during Baryogenesis
Yifung Ng, Tanmay Vachaspati

TL;DR
This paper models the injection of helical magnetic fields during baryogenesis, analyzing their power spectra at phase transition completion to inform subsequent cosmological magnetic evolution.
Contribution
It introduces a new model for magnetic field injection during baryogenesis and evaluates their spectra using Monte Carlo simulations.
Findings
Magnetic field spectra peak at the inverse bubble size scale.
Spectra are symmetric and helical, with a comparable width.
Injected fields serve as initial conditions for cosmological magneto-hydrodynamics.
Abstract
Helical magnetic fields are injected into the cosmic medium during cosmological baryogenesis and can potentially provide a useful probe of the early universe. We construct a model to study the injection process during a first order phase transition and to determine the power spectra of the injected magnetic field. By Monte Carlo simulations we evaluate the Fourier space symmetric and helical power spectra of the magnetic field at the time the phase transition completes. The spectra are peaked at the scale given by the inverse size of bubbles at percolation and with a comparable width. These injected magnetic fields set the initial conditions for further cosmological magneto-hydrodynamical evolution.
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