  In disordered Weyl semimetals, mechanisms of topological origin lead to the
protection against Anderson localization, and at the same time to different
types of transverse electromagnetic response -- the anomalous Hall, and chiral
magnetic effect. We here apply field theory methods to discuss the
manifestation of these phenomena at length scales which are beyond the scope of
diagrammatic perturbation theory. Specifically we show how an interplay of
symmetry breaking and the chiral anomaly leads to a field theory containing two
types of topological terms. Generating the unconventional response coefficients
of the system, these terms remain largely unaffected by disorder, i.e.
information on the chirality of the system remains visible even at large length
scales.
