On AdS/QCD correspondence and the partonic picture of deep inelastic scattering

TL;DR

This paper explores how the AdS/QCD correspondence can explain the partonic structure observed in deep inelastic scattering, emphasizing the importance of specific amplitudes and the conformal dimension of hadronic fields.

Contribution

It demonstrates that incorporating scalar to scalar and scalar to vector amplitudes, along with a conformal dimension of 1, helps derive the partonic picture from AdS/QCD.

Findings

Partonic picture can emerge from AdS/QCD with specific amplitude considerations.

Correct polarization structure requires scalar to scalar and scalar to vector amplitudes.

Conformal dimension of hadronic fields set to 1 is crucial for the analysis.

Abstract

We critically examine the question of scaling of the Deep Inelastic Scattering process in the medium Bjorken x region on a scalar boson in the framework of the AdS/QCD correspondence. To get the right polarization structure of the forward electroproduction amplitude, we show that one needs to add (at least) the scalar to scalar and scalar to vector hadronic amplitudes. This illustrates how the partonic picture may emerge from a simple scenario based on the AdS/QCD correspondence, provided one allows the conformal dimension of the hadronic field to equal 1 and use the concept of "hadron - parton duality" .