Saturation in Deep Inelastic Scattering from AdS/CFT

Abstract

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 AdS geometry. At weak coupling this phase is imaginary, corresponding to a black disk in AdS. 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_2(x,Q^2). We predict, in particular, the dependence of the cross section on the scaling variable (Q/Q_s)^2 in the deeply saturated region, where Q_s is the usual saturation scale. We find agreement with current data on F_2 in the kinematical region 0.5 < Q^2 < 10 GeV^2, x < 10^-2, with an average 6% accuracy. We conclude by discussing the relation of our approach with the commonly used dipole formalism.

24 pages, 9 figures; (v2) data analysis improved, 4 new figures, added references; (v3) improved section on relation to dipole formalism

References in corpus (36)

• Gauge Theory Correlators from Non-Critical String Theory
• Hard Scattering and Gauge/String Duality
• Single and Double BFKL Pomeron Exchange and a Dipole Picture of High Energy Hard Processes
• Geometric scaling for the total gamma^* p cross section in the low x region
• The Pomeron and Gauge/String Duality
• Deep-Inelastic Inclusive ep Scattering at Low x and a Determination of alpha_s
• Deep Inelastic Scattering and Gauge/String Duality
• Unitarity and the BFKL Pomeron
• Measurement of the neutral current cross section and F2 structure function for deep inelastic e+p scattering at HERA
• Small-x physics in perturbative QCD
• The Energy Dependence of the Saturation Momentum
• Geometric scaling as traveling waves
• Parton Saturation at Small x and in Large Nuclei
• Measurement and QCD Analysis of Neutral and Charged Current Cross Sections at HERA
• Saturation and Universality in QCD at small x
• Traveling wave fronts and the transition to saturation
• Neural Network Parametrization of Deep-Inelastic Structure Functions
• Measurement of the Proton Structure Function F_2 at Very Low Q^2 at HERA
• Eikonal Approximation in AdS/CFT: Resumming the Gravitational Loop Expansion
• Eikonal Approximation in AdS/CFT: Conformal Partial Waves and Finite N Four-Point Functions
• Eikonal Approximation in AdS/CFT: From Shock Waves to Four-Point Functions
• Measurement of Neutral and Charged Current Cross Sections in Electron-Proton Collisions at High Q^2
• Measurement of the F2 structure function in deep inelastic scattering using 1994 data from the ZEUS detector at HERA
• Measurement of Neutral and Charged Current Cross-Sections in Positron-Proton Collisions at Large Momentum Transfer
• Measurement of the Proton Structure Function F_2 and σ_{tot}^{γ^* p} at Low Q^2 and Very Low x at HERA
• Universality and tree structure of high energy QCD
• Deep inelastic scattering at strong coupling from gauge/string duality : the saturation line
• On The Pomeron at Large 't Hooft Coupling
• On the Eikonal Approximation in AdS Space
• Eikonal Methods in AdS/CFT: BFKL Pomeron at Weak Coupling
• Eikonal Methods in AdS/CFT: Regge Theory and Multi-Reggeon Exchange
• Deep inelastic scattering from gauge string duality in the soft wall model
• Systematics of geometric scaling
• Deep inelastic structure functions from supergravity at small x
• Scaling Phenomena in Gravity from QCD
• Critical gravitational collapse: towards a holographic understanding of the Regge region

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