The AdS/CFT Correspondence and Light-Front QCD

dc.creatorBrodsky, Stanley J.
dc.creatorde Teramond, Guy F.
dc.date2008-10-10
dc.date.accessioned2026-07-07T10:09:10Z
dc.date.available2026-07-07T10:09:10Z
dc.descriptionWe identify an invariant light-front coordinate $ζ$ 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 frame-independent 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. Light-front holography is a remarkable feature of AdS/CFT: it allows hadronic amplitudes in the AdS fifth dimension to be mapped to frame-independent light-front wavefunctions of hadrons in physical space-time, thus providing a relativistic description of hadrons at the amplitude level. In principle, the model can be systematically improved by diagonalizing the full QCD light-front Hamiltonian on the AdS/QCD basis. Quark and gluon hadronization can be computed at the amplitude level by convoluting the off-shell $T$ matrix calculated from the QCD light-front Hamiltonian with the hadronic light-front wavefunctions. We also note the distinction between static observables such as the probability distributions computed from the square of the light-front wavefunctions versus dynamical observables such as the structure functions and the leading-twist single-spin asymmetries measured in deep inelastic scattering which include the effects of initial and final-state interactions.
dc.description12 pages, 4 figures. Presented by SJB at LIGHT CONE 2008: Relativistic Nuclear and Particle Physics
dc.identifierhttps://arxiv.org/abs/0810.1876
dc.identifierhttp://arxiv.org/abs/0810.1876
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171237
dc.subjectHigh Energy Physics - Phenomenology
dc.titleThe AdS/CFT Correspondence and Light-Front QCD
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