Longitudinal dynamics and chiral symmetry breaking in holographic light-front QCD

The breaking of chiral symmetry in holographic light-front QCD is encoded in its longitudinal dynamics, with its chiral limit protected by the superconformal algebraic structure which governs its transverse dynamics. The scale in the longitudinal light-front Hamiltonian determines the confinement strength in this direction: It is also responsible for most of the light meson ground state mass consistent with the Gell-Mann-Oakes-Renner constraint. Longitudinal confinement and the breaking of chiral symmetry are found to be different manifestations of the same underlying dynamics as found in the 't Hooft large -N-C QCD (1+ 1) model.

Automated summary

In holographic light-front QCD, the breaking of chiral symmetry is encoded in longitudinal dynamics, while the superconformal algebraic structure governing transverse dynamics protects its chiral limit. The scale in the longitudinal Hamiltonian determines confinement strength and most of the light meson ground state mass. Longitudinal confinement and breaking of chiral symmetry are revealed as different manifestations of the same underlying dynamics in the 't Hooft large -N-C QCD (1+ 1) model.