Pion spectroscopy and dynamics using the holographic light-front Schrödinger equation and the 't Hooft equation

Abstract

We show that the holographic Schrödinger equation of light-front chiral QCD, together with the 't Hooft equation of (1+1)-dimensional QCD in the large Nc limit, can simultaneously describe pion spectroscopy as well as the pion decay constant, charge radius, electromagnetic form factor, photon-to-pion transition form factor, Parton Distribution Function (PDF) and Distribution Amplitude (DA). Furthermore, the chiral-limit constraints, as encoded in the Gell-Mann-Oakes-Renner (GMOR) relation, are satisfied.

Keywords

• Light-front holographic QCD
• 't Hooft equation
• Pions
• Longitudinal dynamics
• Chiral symmetry breaking
• Confinement