2012/06/19 by Guy F. de Téramond, Stanley J. Brodsky, de Teramond, Guy F. +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.1206.4365
The holographic mapping of gravity in AdS space to QCD, quantized at fixed\nlight-front time, provides a precise relation between the bound-state\namplitudes in the fifth dimension of AdS space and the boost-invariant\nlight-front wavefunctions describing the internal structure of hadrons in\nphysical space-time. In particular, the elastic and transition form factors of\nthe pion and the nucleons are well described in this framework. The light-front\nAdS/QCD holographic approach thus gives a frame-independent first approximation\nof the color-confining dynamics, spectroscopy, and excitation spectra of\nrelativistic light-quark bound states in QCD. More generally, we show that the\nvalence Fock-state wavefunctions of the eigensolutions of the light-front QCD\nHamiltonian satisfy a single-variable relativistic equation of motion,\nanalogous to the nonrelativistic radial Schr "odinger equation, with an\neffective confining potential which systematically incorporates the effects of\nhigher quark and gluon Fock states. The proposed method to compute the\neffective interaction thus resembles the two-particle-irreducible functional\ntechniques used in quantum field theory.\n