Deep inelastic scattering from string/gauge duality with soft IR cutoff and exponentially small Bjorken parameter

Abstract

In this work we use the string/gauge duality within the Softwall Model (SW). In this model a dilaton field is introduced in the action for the fields playing the role of a soft infrared (IR) cutoff. The SW model is very useful as it provides linear Regge trajectories for mesons. Here, using a $10-$dimensional SW model, we calculate the corresponding structure functions for deep inelastic scattering (DIS) in which electrons are scattered off hadrons in a kinematical regime where the hadrons are broken apart, with high virtuality $q$, in the exponentially small $x$ (Bjorken parameter) regime. Our results for this regime are consistent with those achieved using other holographic and non-holographic approaches.

V1: 6 pages. Proceedings for XLI Brazilian Meeting on Nuclear Physics (RTFNB) - 02 to 06 September 2018, Maresias - São Sebastião - SP, Brazil