Light-Front Holography and Gauge/Gravity Duality: The Light Meson and Baryon Spectra
Abstract
Starting from the bound state Hamiltonian equation of motion in QCD, we derive relativistic light-front wave equations in terms of an invariant impact variable ζ which measures the separation of the quark and gluonic constituents within the hadron at equal light-front time. These equations of motion in physical space-time are equivalent to the equations of motion which describe the propagation of spin- J modes in anti-de Sitter (AdS) space. Its eigenvalues give the hadronic spectrum, and its eigenmodes represent the probability amplitudes of the hadronic constituents at a given scale. An effective classical gravity description in a positive-sign dilaton background exp(+κz) is given for the phenomenologically successful soft-wall model which naturally encodes the internal structure of hadrons and their orbital angular momentum. Applications to the light meson and baryon spectrum are presented.
- Publication:
-
Nuclear Physics B Proceedings Supplements
- Pub Date:
- February 2010
- DOI:
- 10.1016/j.nuclphysbps.2010.02.010
- arXiv:
- arXiv:0909.3900
- Bibcode:
- 2010NuPhS.199...89D
- Keywords:
-
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory
- E-Print:
- 8 pages, 2 figures, added references. Talk presented by GdT at Light Cone 2009: Relativistic Hadronic And Particle Physics, 8-13 Jul 2009, Sao Jose dos Campos, Brazil