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

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.

10 pages, 4 figures, accepted for publication in PRD

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• Pion spectroscopy and dynamics using the holographic light-front Schrödinger equation and the 't Hooft equation
• The pion in the graviton soft-wall model: phenomenological applications
• Longitudinal dynamics for mesons on the light cone
• Meson masses and decay constants in holographic QCD consistent with ChPT and HQET
• Stress out of charmonia
• Exclusive diffractive J/psi and Psi(2S) production in dipole model using a holographic AdS/QCD light front wavefunction with longitudinal confinement
• Mass decomposition of the pion in the 't Hooft model
• Origin of the nucleon gravitational form factor $B_N(t)$: Exposition in light-front holographic QCD
• Transition form factors for $D/B$ to $a_0(980)$ from light-cone QCD sum rules