Light-Front Holography and Gauge/Gravity Duality: The Light Meson and Baryon Spectra

Abstract

Starting from the bound state Hamiltonian equation of motion in QCD, we derive relativistic light-front wave equations in terms of an invariant impact variable $\zeta$ which measures the separation of the quark and gluonic constituents within the hadron at equal light-front time. These equations of motion in physical space-time are equivalent to the equations of motion which describe the propagation of spin-$J$ modes in anti--de Sitter (AdS) space. Its eigenvalues give the hadronic spectrum, and its eigenmodes represent the probability amplitudes of the hadronic constituents at a given scale. An effective classical gravity description in a positive-sign dilaton background $\exp (+{\kappa }^2{z}^2)$ is given for the phenomenologically successful soft-wall model which naturally encodes the internal structure of hadrons and their orbital angular momentum. Applications to the light meson and baryon spectrum are presented.

8 pages, 2 figures, added references. Talk presented by GdT at Light Cone 2009: Relativistic Hadronic And Particle Physics, 8-13 Jul 2009, Sao Jose dos Campos, Brazil

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• Improving the Excited Nucleon Spectrum in Hard-Wall AdS/QCD
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• Hadronic Form Factor Models and Spectroscopy Within the Gauge/Gravity Correspondence
• Linear Confinement for Mesons and Nucleons in AdS/QCD
• Thermal Mass Spectra of Vector and Axial-Vector Mesons in Predictive Soft-Wall AdS/QCD Model
• The effects of deformation parameter on thermal width of moving quarkonia in plasma
• Soft wall model with inverse exponential profile as a model for the axial and pseudoscalar mesons
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• Color Confinement and Supersymmetric Properties of Hadron Physics from Light-Front Holography
• Effect of electromagnetic fields on deformed AdS_5 models
• QCD on the Light-Front -- A Systematic Approach to Hadron Physics
• Asymptotic Freedom in Holographic QCD
• AdS/QCD and Light Front Holography: A New Approximation to QCD
• Holographic real and imaginary potentials of heavy quarkonium in Yang-Mills-dilaton black holes
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• Hadrons in AdS/QCD models
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• Light-Front Holographic Quantum Chromodynamics
• Four-point correlator of vector currents and electric current susceptibility in holographic QCD
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• Divergences in the hadronic light-by-light amplitude of the holographic soft-wall model
• Confinement and Pseudoscalar Glueball Spectrum in the $2+1$D QCD-Like Theory from the Non-Susy D$2$ Brane