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

TL;DR

This paper explores how chiral symmetry breaking and longitudinal confinement are interconnected in holographic light-front QCD, revealing their relation to underlying dynamics similar to the 't Hooft model, and how these affect meson properties.

Contribution

It demonstrates that chiral symmetry breaking in holographic light-front QCD is encoded in longitudinal dynamics and relates it to the underlying 't Hooft model, providing new insights into confinement and meson masses.

Findings

Longitudinal confinement influences light meson masses.

Chiral symmetry breaking is linked to longitudinal dynamics.

The dynamics resemble the 't Hooft large N_C QCD model.

Abstract

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 't Hooft large $N_C$ QCD(1 + 1) model.