We study the real time evolution of the chiral magnetic effect out-ofequilibrium in strongly coupled anomalous field theories. We match the parameters of our model to QCD parameters and draw lessons of possible relevance for the realization of the chiral magnetic effect in heavy ion collisions. In particular, we find an equilibration time of about ~ 0:35 fm/c in presence of the chiral anomaly for plasma temperatures of order T ~ 300 - 400 MeV.
Abstract
We study the production of relic gravitational waves (GWs) in
turbulent hypermagnetic fields (HMFs) in the symmetric phase of the
early universe before the electroweak phase transition (EWPT). The
noise of HMFs is modeled by the analog of the magnetic hydrodynamics
turbulence. The evolution of HMFs is driven by the analogs of the chiral
magnetic effect and the Adler anomalies in the presence of the nonzero
asymmetries of leptons and Higgs bosons. We track the evolution of
the energy density of GWs from 10 TeV down to EWPT and
analyze its dependence on the parameters of the system. We also discuss
the possibility to observe the predicted GW background by the current
GW detectors.