Two alternatives of spontaneous chiral symmetry breaking in QCD
Abstract
Considering QCD in an Euclidean box, the mechanism of spontaneous breaking of chiral symmetry (SB) is analyzed in terms of average properties of lowest eigenstates of the Dirac operator. A formal analogy between the pion decay constant and conductivity in disordered systems is established. It follows that SB results from a subtle balance between the density of Euclidean quark states and their mobility. SB can be realized either with < q q > =0, provided the low density of states is compensated by a high mobility, or with a non-vanishing condensate, provided the mobility is suppressed. It is conjectured that the first case corresponds to extended whereas the latter case to (weakly) localized quark states.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.