Non-Integrability of Two-Dimensional QCD

Abstract

In this paper we numerically demonstrate that massless two-dimensional QCD is not integrable. To this aim, we explicitly solve the 't Hooft integral equation for bound states by an adaptive spline procedure, and compute the decay amplitudes. These amplitudes significantly differ from zero except in all cases in which the decay also produces a pion.

9 pages, 6 encapsulated Postscript figures, uses epsfig

References in corpus (4)

• Updating QCD${}_2$
• Integrability and duality in two-dimensional QCD
• Higher algebras and mesonic spectrum in two-dimensional QCD
• Loop scattering in two-dimensional QCD

Cited by in corpus (10)

• An Illustrative Example of How Quark-Hadron Duality Might Work
• On mass spectrum in 't Hooft's 2D model of mesons
• QCD2-Screening, Confinement and Novel non-abelian Solutions
• Asymptotic properties of mass spectrum in 't Hooft's model of mesons
• 2d QCD and Integrability, Part I: 't Hooft model
• Bound States of Majorana Fermions in Semi-classical Approximation
• Extended QCD(2) from dimensional projection of QCD(4)
• Quark-hadron duality for heavy meson mixings in the 't Hooft model
• Classical integrability of chiral $QC{D}_2$ and classical curves
• Grassmann manifold Bosonization of QCD in Two Dimensions