Comparing AdS/CFT calculations to HERA F_2 data

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2009-10-22

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American Physical Society

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We show that HERA data for the inclusive structure function F_2(x, Q^2) at small Bjorken-x and Q^2 can be reasonably well described by a color-dipole model with an anti-de Sitter space/conformal field theory (AdS/CFT)-inspired dipole-proton cross section. The model contains only three free parameters fitted to data. In our AdS/CFT-based parameterization the saturation scale varies in the range of 1 รท 3 GeV becoming independent of energy/Bjorken-x at very small x. This leads to the prediction of x independence of the F_2 and F_L structure functions at very small x. We provide predictions for F_2 and F_L in the kinematic regions of future experiments. We discuss the limitations of our approach and its applicability region, and argue that our AdS/CFT-based model of nonperturbative physics could be viewed as complementary to the perturbative description of data based on saturation/color glass condensate physics.

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Yuri V. Kovchegov, Zhun Lu, Amir H. Rezaeian, "Comparing AdS/CFT calculations to HERA F_2 data," Physical Review D 80, no. 7 (2009), doi:10.1103/PhysRevD.80.074023