We report last results on anomalous transport in the classical statistical field theory approach. In particular, we studied the chiral plasma instability (CPI) with overlap fermions. From Maxwell and anomalous transport equations, it is expected that those instabilities growth exponentially and only stop when the axial charge decays. Nevertheless, our simulations with Wilson-Dirac and overlap fermions showed a saturation of those instabilities before the decay of the axial charge contradicting our expectations. We also notice a good agreement between overlap and Wilson-Dirac fermions simulations.

Chiral Symmetry