The infinite tower of hard exclusive amplitudes in holographic light-front QCD produces a spectral generator G(α,λ) that encodes the full Regge spectrum and yields analytic form factors and parton distributions.
Light-Front Holography: A First Approximation to QCD
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abstract
Starting from the Hamiltonian equation of motion in QCD, we identify an invariant light-front coordinate $\zeta$ which allows the separation of the dynamics of quark and gluon binding from the kinematics of constituent spin and internal orbital angular momentum. The result is a single variable light-front Schrodinger equation for QCD which determines the eigenspectrum and the light-front wavefunctions of hadrons for general spin and orbital angular momentum. This light-front wave equation is equivalent to the equations of motion which describe the propagation of spin-$J$ modes on anti-de Sitter (AdS) space.
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Pion PDFs from holographic light-front QCD are consistent with global analyses and produce J/ψ cross sections matching experimental data across energies and targets.
The authors use the two-flavor NJL model to obtain medium-modified constituent quark masses and then compute the in-medium pion electromagnetic form factor, distribution amplitude, and parton distribution function via light-cone wave functions, with DGLAP evolution applied.
A tachyonic AdS/QCD construction deforms the bulk geometry with a tachyon-dependent dielectric function to produce a unified running coupling from perturbative UV to nonperturbative IR regimes.
Holographic light-front QCD supplies K* distribution amplitudes that produce alternate predictions for rare B decay form factors, compared against sum rules and experiment.
Light-cone quark model PDFs for kaon and heavy mesons are evolved via NLO DGLAP to predict EIC structure functions and COMPASS Drell-Yan cross sections while showing heavy constituents dominate momentum fractions.
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Valence quark distribution of the pion inside a medium with finite baryon density: A Nambu--Jona-Lasinio model approach
The authors use the two-flavor NJL model to obtain medium-modified constituent quark masses and then compute the in-medium pion electromagnetic form factor, distribution amplitude, and parton distribution function via light-cone wave functions, with DGLAP evolution applied.