Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-09-22
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 pages, 2 figures, added references. Talk presented by GdT at Light Cone 2009: Relativistic Hadronic And Particle Physics, 8-
Scientific paper
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.
Brodsky Stanley J.
de Teramond Guy F.
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