Hadronic Spectra and Light-Front Wave Functions in Holographic QCD
Abstract
We show how the string amplitude Φ(z) defined on the fifth dimension in AdS5 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 z and an impact variable ζ, 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 Q2. Only one parameter which sets the mass scale, ΛQCD, is introduced.
- Publication:
-
Physical Review Letters
- Pub Date:
- May 2006
- DOI:
- 10.1103/PhysRevLett.96.201601
- arXiv:
- arXiv:hep-ph/0602252
- Bibcode:
- 2006PhRvL..96t1601B
- Keywords:
-
- 11.15.Tk;
- 11.25.Tq;
- 12.38.Aw;
- 12.40.Yx;
- Other nonperturbative techniques;
- Gauge/string duality;
- General properties of QCD;
- Hadron mass models and calculations;
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory
- E-Print:
- 4 pages, REVTex4, 2 figures. References added. To appear in Phys. Rev. Lett