Universal Spectral Shocks in Random Matrix Theory --- Lessons for QCD
Universal Spectral Shocks in Random Matrix Theory --- Lessons for QCD
Following Dyson, we treat the eigenvalues of a random matrix as a system of particles undergoing random walks.The dynamics of large matrices is then well-described by fluid dynamical equations.In particular, the inviscid Burgers' equation is ubiquitous and controls the behavior of the spectral density of large matrices.The solutions to this …