Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-10-18
AIP Conf.Proc.814:108-118,2006
Physics
High Energy Physics
High Energy Physics - Phenomenology
Invited Talk, presented presented at the XI. International Conference on Hadron Spectroscopy--HADRON 05,Rio de Janeiro, Brazil
Scientific paper
10.1063/1.2176473
The AdS/CFT correspondence has led to important insights into the properties of quantum chromodynamics even though QCD is a broken conformal theory. A holographic model based on a truncated AdS space can be used to obtain the hadronic spectrum of light $q \bar q, qqq$ and $gg$ bound states. Specific hadrons are identified by the correspondence of string modes with the dimension of the interpolating operator of the hadron's valence Fock state, including orbital angular momentum excitations. The predicted mass spectrum is linear $M \propto L$ at high orbital angular momentum. Since only one parameter, the QCD scale $\Lambda_{QCD}$, is introduced, the agreement with the pattern of physical states is remarkable. In particular, the ratio of $\Delta$ to nucleon trajectories is determined by the ratio of zeros of Bessel functions. One can also use the extended AdS/CFT space-time theory to obtain a model for hadronic light-front wavefunctions, thus providing a relativistic description of hadrons in QCD at the amplitude level. The model wavefunctions display confinement at large inter-quark separation and conformal symmetry at short distances. In particular, the scaling and conformal properties of the LFWFs at high relative momenta agree with perturbative QCD. These AdS/CFT model wavefunctions could be used as an initial ansatz for a variational treatment of the light-front QCD Hamiltonian. Hadron form factors in both the space-like and time-like regions are also predicted.
Brodsky Stanley J.
de Teramond Guy F.
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