Hadron spectroscopy and structure from AdS/CFT
Stanford Linear Accelerator Center, Stanford University, 94309, Stanford, CA, USA
* e-mail: firstname.lastname@example.org
Accepted: 15 November 2006
Published online: 5 March 2007
The AdS/CFT correspondence between conformal field theory and string states in an extended space-time has provided new insights into not only hadron spectra, but also their light-front wave functions. We show that there is an exact correspondence between the fifth-dimensional coordinate of anti-de Sitter space z and a specific impact variable ζ which measures the separation of the constituents within the hadron in ordinary space-time. This connection allows one to predict the form of the light-front wave functions of mesons and baryons, the fundamental entities which encode hadron properties and scattering amplitudes. A new relativistic Schrödinger light-front equation is found which reproduces the results obtained using the fifth-dimensional theory. Since they are complete and orthonormal, the AdS/CFT model wave functions can be used as an initial ansatz for a variational treatment or as a basis for the diagonalization of the light-front QCD Hamiltonian. A number of applications of light-front wave functions are also discussed.
PACS: 12.38.-t Quantum chromodynamics – / 11.25.Tq Gauge/string duality – / 12.38.Aw General properties of QCD (dynamics, confinement, etc.)[ :AND:] 12.40.Nn Regge theory, duality, absorptive/optical models –
© Società Italiana di Fisica and Springer-Verlag, 2007