Chirality transfer and chiral turbulence in gauge theories

Chirality transfer between fermions and gauge fields plays a crucial role for understanding the dynamics of anomalous transport phenomena such as Chiral Magnetic Effect. In this proceeding we present first principles study these processes based on classical-statistical real-time lattice simulations strongly coupled QED $(e^2N_f=64)$. Our demonstrate that chirality imbalance in fermion sector triggers chiral plasma instabilities field sector, which ultimately lead to generation long range helical magnetic via self-similar turbulent cascade helicity.