Chiral Magnetohydrodynamic Turbulence
  In this work the influence of the chiral anomaly effect on the evolution of
magnetohydrodynamic turbulence was studied. We argue that in the early
universe, before the electroweak symmetry breaking, and for temperatures high
enough such that the electron mass can be ignored, the description of a charged
plasma in general needs to take into account the interplay between turbulence
and the anomaly effects. It was demonstrated that this generalization can have
important consequences on the evolution of turbulence, leading to the creation
of maximally-helical fields from initially non-helical ones. Therefore, chiral
effects can strongly support turbulent inverse cascade, and lead to a slower
decrease of the magnetic field with time, and also to a faster growth of the
correlation length, when compared to the evolution predicted by the standard
magnetohydrodynamical description. Using the weak anomaly approximation, and
treating the anomaly contributions to magnetic energy and helicity as a small
perturbation, we derive the specific solutions for the inverse cascade regime
that demonstrate how chiral effects support the inverse cascade.
