Saturation in deep inelastic scattering from the AdS/CFT correspondence

• Type: Article in International Scientific Journal
• Date: 2008

Authors

Lorenzo Cornalba (Author) Other; Miguel S Costa (Author) FCUP

Journal

Title: Physical Review D - Particles, Fields, Gravitation and Cosmology

Vol. 78

ISSN: 1550-7998

Publisher: American Physical Society

Indexing

ISI Web of Knowledge - 88 Citations

Scopus - 88 Citations

Scientific classification

FOS: Natural sciences > Physical sciences

Other information

Authenticus ID: P-003-VAX

DOI: 10.1103/physrevd.78.096010

Abstract (EN): 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(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, 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.

Language: English

Type (Professor's evaluation): Scientific