Anomalous hydrodynamics

Our goal is to examine the role of anomalies in the hydrodynamic regime of field theories. We employ methods based on gauge/gravity duality to examine R-charge anomalies in the hydrodynamic regime of strongly t'Hooft coupled, large-N, N = 4 Super Yang-Mills. We use a single particle spectrum treatment based on the familiar 'level-crossing' picture of chiral anomalies to investigate thermalized massless QED. In each case we work in the presence of a homogeneous background magnetic field, and find the same result. Regardless of whether a particular current is anomalously non-conserved or not, as long as it participates in an anomalous 3-pt. correlator, its constitutive relation receives a new term: ja ∝- dabcBbρc. This agrees with results found by Alekseev et.al. for QED. We include a general, symmetry based argument for the presence of such terms, and use linear response theory to determine their coefficients in a model with anomalous global charges. This last method, we apply to briefly examine baryon transport in chiral QCD in a strong magnetic field