1998/07/22 by Romuald A. Janik, Maciej A. Nowak, Gabor Papp +1
Physics and Astronomy · #hep-ph #cond-mat #hep-lat #nucl-th
published as Acta Phys.Polon. B29 (1998) 3215-3224 · 9 pages in APPB sty (included). Invited talk by MAN at the Workshop on the Structure of Mesons, Baryons and Nuclei, Cracow, May 26-30, 1998
arxiv created 1998/07/22 · arxiv updated 2009/11/30
We give a pedagogical introduction to the concept that light quarks diffuse in the QCD vacuum following the spontaneous breaking of chiral symmetry. By analogy with disordered electrons in metals, we show that the diffusion constant for light quarks in QCD is D=2Fπ2/|\laqq→| which is about 0.22 fm. We comment on the correspondence between the diffusive phase and the chiral phase as described by chiral perturbation theory, as well as the cross-over to the ergodic phase as described by random matrix theory. The cross-over is identified with the Thouless energy Ec=D/√(V4) which is the inverse diffusion time in an Euclidean four-volume V4.