Chiral Disorder and Diffusion in The QCD Vacuum

In this talk, which popularizes some of our recent work, we provide novel insights into the bulk properties of light chiral quarks in a fixed Euclidean volume (e.g. lattice QCD). We show that the spontaneous breakdown of chiral symmetry results into diffusing quarks with a vacuum diffusion constant $D=2F_{\pi}^2/|<\bar{q}q>|$ $\approx 0.22$ fm, in striking analogy to diffusing electrons in disordered metals in one-, two- and three-dimensions.