Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-07-26
Phys.Rev.D77:056007,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
21 pages, 7 figures. Title adjusted to PRD title. Typo corrected in Eq (B3)
Scientific paper
10.1103/PhysRevD.77.056007
The AdS/CFT correspondence between string theory in AdS space and conformal field theories in physical space-time leads to an analytic, semi-classical model for strongly-coupled QCD which has scale invariance and dimensional counting at short distances and color confinement at large distances. The AdS/CFT correspondence also provides insights into the inherently non-perturbative aspects of QCD such as the orbital and radial spectra of hadrons and the form of hadronic wavefunctions. In particular, we show that there is an exact correspondence between the fifth-dimensional coordinate of anti-de Sitter (AdS) space $z$ and a specific light-front impact variable $\zeta$ which measures the separation of the quark and gluonic constituents within the hadron in ordinary space-time. This connection allows one to compute the analytic form of the frame-independent light-front wavefunctions of mesons and baryons, the fundamental entities which encode hadron properties and which allow the computation of decay constants, form factors and other exclusive scattering amplitudes. Relativistic light-front equations in ordinary space-time are found which reproduce the results obtained using the fifth-dimensional theory. As specific examples we compute the pion coupling constant $f_\pi$, the pion charge radius $< r_\pi^2 >$ and examine the propagation of the electromagnetic current in AdS space, which determines the space and time-like behavior of the pion form factor and the pole of the $\rho$ meson.
Brodsky Stanley J.
de Teramond Guy F.
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