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arxiv: 0809.4899 · v3 · submitted 2008-09-29 · ✦ hep-ph · hep-th

Light-Front Holography: A First Approximation to QCD

classification ✦ hep-ph hep-th
keywords light-frontequationangularmomentummotionorbitalspinallows
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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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