The AdS/CFT Correspondence and Light-Front QCD

Conference · Mon Oct 13 00:00:00 EDT 2008

OSTI ID:939635

Brodsky, Stanley J; de Teramond, Guy F

We identify an invariant light-front coordinate {zeta} which allows the separation of the dynamics of quark and gluon binding from the kinematics of constituent spin and internal orbital angular momentum. The result is a single-variable light-front Schroedinger equation for QCD which determines the eigenspectrum and the light-front wavefunctions of hadrons for general spin and orbital angular momentum. This frame-independent light-front wave equation is equivalent to the equations of motion which describe the propagation of spin-J modes on anti-de Sitter (AdS) space. Light-front holography is a remarkable feature of AdS/CFT: it allows hadronic amplitudes in the AdS fifth dimension to be mapped to frame-independent light-front wavefunctions of hadrons in physical space-time, thus providing a relativistic description of hadrons at the amplitude level. In principle, the model can be systematically improved by diagonalizing the full QCD light-front Hamiltonian on the AdS/QCD basis. Quark and gluon hadronization can be computed at the amplitude level by convoluting the off-shell T matrix calculated from the QCD light-front Hamiltonian with the hadronic light-front wavefunctions. We also note the distinction between static observables such as the probability distributions computed from the square of the light-front wavefunctions versus dynamical observables such as the structure functions and the leading-twist single-spin asymmetries measured in deep inelastic scattering which include the effects of initial and final-state interactions.

• Research Organization: SLAC National Accelerator Lab., Menlo Park, CA (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC02-76SF00515
• OSTI ID: 939635
• Report Number(s): SLAC-PUB-13428; arXiv:0810.1876; TRN: US0806840
• Resource Relation: Conference: Presented at Light Cone 2008: Relativistic Nuclear and Particle Physics (LC2008), Mulhouse, France, 7-11 Jul 2008
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
DEEP INELASTIC SCATTERING
DIMENSIONS
EQUATIONS OF MOTION
FINAL-STATE INTERACTIONS
GLUONS
HADRONS
HAMILTONIANS
HOLOGRAPHY
LIGHT CONE
ORBITAL ANGULAR MOMENTUM
PHYSICS
PROBABILITY
QUANTUM CHROMODYNAMICS
QUARKS
S MATRIX
SCHROEDINGER EQUATION
SPIN
STRUCTURE FUNCTIONS
WAVE EQUATIONS
Phenomenology-HEP
HEPPH
HEPTH