Chiral magneto-hydro-dynamics: from quark-gluon plasma to Dirac semimetals

Quantum anomalies modify the macroscopic behavior of fluids containing chiral fermions. Chiral magneto-hydrodynamics is an effective theory that describes the anomaly-induced effects in the presence of electromagnetic fields, notably the chiral magnetic effect. The applications to the quark-gluon plasma and the discovered recently Dirac semimetals will be discussed.