Abstract
We show how the string amplitude defined on the fifth dimension in space can be precisely mapped to the light-front wave functions of hadrons in physical space-time. We find an exact correspondence between the holographic variable and an impact variable , which represents the measure of transverse separation of the constituents within the hadrons. In addition, we derive effective four dimensional Schrödinger equations for the bound states of massless quarks and gluons which exactly reproduce the anti–de Sitter conformal field theory results and give a realistic description of the light-quark meson and baryon spectrum as well as the form factors for spacelike . Only one parameter which sets the mass scale, , is introduced.
- Received 28 February 2006
DOI:https://doi.org/10.1103/PhysRevLett.96.201601
©2006 American Physical Society