Saturation in deep inelastic scattering from the AdS/CFT correspondence
- Centro Studi e Ricerche E. Fermi Compendio Viminale, I-00184, Roma (Italy)
- Departamento de Fisica e Centro de Fisica do Porto, Faculdade de Ciencias da Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto (Portugal)
We analyze deep inelastic scattering at small Bjorken x, using the approximate conformal invariance of QCD at high energies. Hard Pomeron exchanges are resummed eikonally, restoring unitarity at large values of the phase shift in the dual anti-de Sitter (AdS) geometry. At weak coupling this phase is imaginary, corresponding to a black disk in AdS space. In this saturated regime, cross sections exhibit geometric scaling and have a simple universal form, which we test against available experimental data for the proton structure function F{sub 2}(x,Q{sup 2}). We predict, in particular, the dependence of the cross section on the scaling variable (Q/Q{sub s}){sup 2} in the deeply saturated region, where Q{sub s} is the usual saturation scale. We find agreement with current data on F{sub 2} in the kinematical region 0.5<Q{sup 2}<10 GeV{sup 2}, x<10{sup -2}, with an average 6% accuracy. We conclude by discussing the relation of our approach with the commonly used dipole formalism.
- OSTI ID:
- 21254655
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 78, Issue 9; Other Information: DOI: 10.1103/PhysRevD.78.096010; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
CONFORMAL INVARIANCE
COUPLING
CROSS SECTIONS
DE SITTER GROUP
DEEP INELASTIC SCATTERING
DIPOLES
PHASE SHIFT
POMERANCHUK PARTICLES
PROTONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
S QUARKS
SATURATION
SCALING
STRING MODELS
STRUCTURE FUNCTIONS
UNITARITY
WEAK-COUPLING MODEL