Light-Front Quantization Approach to the Gauge Gravity Correspondence and Hadron Spectroscopy

Conference · Wed May 26 04:00:00 EDT 2010 · AIP Conf.Proc.1257:59-68,2010

OSTI ID:981399

de Teramond, Guy F; Brodsky, Stanley J

We find a correspondence between semiclassical QCD quantized on the light-front and a dual gravity model in anti-de Sitter (AdS) space, thus providing an initial approximation to QCD in its strongly coupled regime. This correspondence - light-front holography - leads to a light-front Hamiltonian and relativistic bound-state wave equations that are functions of an invariant impact variable {zeta} which measures the separation of the quark and gluonic constituents within hadrons at equal lightfront time. The eigenvalues of the resulting light-front Schrodinger and Dirac equations are consistent with the observed light meson and baryon spectrum, and the eigenmodes provide the light-front wavefunctions, the probability amplitudes describing the dynamics of the hadronic constituents. The light-front equations of motion, which are dual to an effective classical gravity theory, possess remarkable algebraic and integrability properties which are dictated by the underlying conformal properties of the theory. We extend the algebraic construction to include a confining potential while preserving the integrability of the mesonic and baryonic bound-state equations.

• Research Organization: SLAC National Accelerator Laboratory (SLAC)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC02-76SF00515
• OSTI ID: 981399
• Report Number(s): SLAC-PUB-13875; arXiv:1001.5193
• Conference Information: Journal Name: AIP Conf.Proc.1257:59-68,2010
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BARYONS
BOUND STATE
CONSTRUCTION
DIRAC EQUATION
EIGENVALUES
EQUATIONS OF MOTION
HADRONS
HAMILTONIANS
HOLOGRAPHY
MEETINGS
MESONS
POTENTIALS
PROBABILITY
Phenomenology-HEP
HEPPH
HEPTH
QUANTIZATION
QUANTUM CHROMODYNAMICS
QUARKS
SPECTROSCOPY
VISIBLE RADIATION
WAVE EQUATIONS