Relic Gravitational Waves from the Chiral Magnetic Effect

Relic gravitational waves (GWs) can be produced by primordial magnetic fields. However, not much is known about the resulting GW amplitudes and their dependence on details of generation mechanism. Here we treat field through chiral effect (CME) as a generic mechanism explore its speed (the product diffusivity characteristic wavenumber) characterizing maximum strength expected from CME. When latter exceeds former (regime I), regime applicable to early universe, obtain an inverse cascade with moderate energy that scales third power energy. CME limit II), continues increase without corresponding In kinematic phase, spectrum (per linear wavenumber interval) has opposite slopes in both regimes characterized inertial range I white noise II. The occurrence these two shown consequence nearly monochromatic exponential growth field. found proportional fifth limiting first speed.