Light-front holography with chiral symmetry breaking

Abstract

We present an analytically solvable 3D light-front Hamiltonian model for hadrons that extends light-front holography by including finite mass quarks and a longitudinal confinement term. We propose that the model is suitable as an improved analytic approximation to QCD at a low resolution scale. We demonstrate that it preserves desired Lorentz symmetries and it produces improved agreement with the experimental mass spectroscopy and other properties of the light mesons. Importantly, the model also respects chiral symmetry and the Gell-Mann-Oakes-Renner relation.

Keywords

• Chiral symmetry breaking
• Light-front holography
• 't Hooft model
• Longitudinal dynamics
• Light mesons
• Pion