Field theory of the random flux model

The long-range properties of the random flux model (lattice fermions hoppin g under the influence of maximally random link disorder) are shown to be de scribed by a supersymmetric field theory of non-linear sigma-model type, wh ere the group GL(n/n) is the global invariant manifold. An extension to non -Abelian generalizations of this model identifies connections to lattice QC D, Dirac fermions in a random gauge potential, and stochastic non-Hermitian operators.