A Study of the 't Hooft Model with the Overlap Dirac Operator
Abstract
We present the results of an exploratory numerical study of two dimensional QCD with overlap fermions. We have performed extensive simulations for U(Nc) and SU(Nc) color groups with Nc=2, 3, 4 and coupling constants chosen to satisfy the 't Hooft condition g2 Nc =const=4/3. We have computed the meson spectrum and decay constants, the topological susceptibility and the chiral condensate. For U(Nc) gauge groups, our results indicate that the Witten-Veneziano relation is satisfied within our statistical errors and that the chiral condensate for Nf=1 is compatible with a non-zero value. Our results exhibit universality in Nc and confirm once more the excellent chiral properties of the overlap-Dirac operator.
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.