Extending light-front holographic QCD using the 't Hooft Equation

Abstract

We show the 't Hooft Equation and the light-front holographic Schrödinger Equation are complementary to each other in governing the transverse and longitudinal dynamics of colour confinement in quark-antiquark mesons. Together, they predict remarkably well the light, heavy-light and heavy-heavy meson spectroscopic data. The universal emerging hadronic scale of light-front holography, $\kappa \approx 0.5$ GeV, controls the transverse dynamics of confinement in all mesons. In heavy-heavy mesons, it also coincides numerically with the 't Hooft coupling which governs longitudinal confinement, thus reflecting the restoration of manifest 3-dimensional rotational symmetry

7 pages, 3 figures, 1 table. Revised text, numerical results unchanged. Accepted for publication in PLB

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Cited by in corpus (9)

• 50 Years of Quantum Chromodynamics
• Light mesons with one dynamical gluon on the light front
• Longitudinal dynamics and chiral symmetry breaking in holographic light-front QCD
• Basis light-front quantization approach to $\Lambda$ and ${\Lambda }_c$ and their isospin triplet baryons
• Confinement in Two-Dimensional QCD and the Infinitely Long Pion
• Pion spectroscopy and dynamics using the holographic light-front Schrödinger equation and the 't Hooft equation
• Longitudinal dynamics for mesons on the light cone
• Chiral sum rule on the light front and the 3D image of the pion
• Mass decomposition of the pion in the 't Hooft model