Hadron spectroscopy using the light-front holographic Schrödinger equation and the 't Hooft equation

Abstract

Light-front holographic QCD provides a successful first approximation to hadron spectroscopy in the chiral limit of $(3+1)$-dim light-front QCD, where a holographic Schrödinger-like equation, with an emerging confining scale, $\kappa$, governs confinement in the transverse direction. In its supersymmetric formulation, light-front holography predicts that each baryon has two superpartners: a meson and a tetraquark, with their degenerate masses being generated by the same scale, $\kappa$. In nature, this mass degeneracy is lifted by chiral symmetry breaking and longitudinal confinement. In this paper, we show that the latter can be successfully captured by the 't Hooft equation of $(1+1)$-dim, large $N_c$, QCD. Together, the holographic Schrödinger equation and the 't Hooft equation, provide a good global description of the data across the full hadron spectrum with a universal $\kappa$.

arXiv comment28 pages, 10 figures, 8 tables; added hadron spectroscopy with an alternative longitudinal potential, expanded discussion, version to appear in PRD

References in corpus (24)

• Light-Front Holographic QCD and Emerging Confinement
• Hadronic Spectra and Light-Front Wavefunctions in Holographic QCD
• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
• Hadronic Spectrum of a Holographic Dual of QCD
• Light-Front Holography: A First Approximation to QCD
• Light and heavy mesons in a soft-wall holographic approach
• Light-Front Dynamics and AdS/QCD Correspondence: Gravitational Form Factors of Composite Hadrons
• Heavy Quarkonium in a Holographic Basis
• Effective confining potentials for QCD
• Supersymmetry Across the Light and Heavy-Light Hadronic Spectrum
• Chiral Symmetry Breaking and Meson Wave Functions in Soft-Wall AdS/QCD
• Explicit Quark-hadron Duality in Heavy-light Meson Weak Decays in the 't Hooft Model
• A dynamical model for longitudinal wave functions in light-front holographic QCD
• Hadronic Superpartners from Superconformal and Supersymmetric Algebra
• Supersymmetry Across the Light and Heavy-Light Hadronic Spectrum II
• The Frame-Independent Spatial Coordinate $\tilde{z}$: Implications for Light-Front Wave Functions, Deep Inelastic Scattering, Light-Front Holography, and Lattice QCD Calculations
• Meson/Baryon/Tetraquark Supersymmetry from Superconformal Algebra and Light-Front Holography
• Supersymmetry in the Double-Heavy Hadronic Spectrum
• Precision Studies of Duality in the 't Hooft Model
• Heavy Mesons in Two Dimensions
• Mass structure of hadrons and light-front sum rules in t' Hooft model
• The 't Hooft Model As A Hologram
• The Mystery of Bloom-Gilman Duality: A Light Front Holographic QCD Perspective
• Quark-hadron duality for heavy meson mixings in the 't Hooft model

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