Polarized Deep Inelastic and Elastic Scattering From Gauge/String Duality

TL;DR

This paper uses gauge/string duality to compute polarized deep inelastic and elastic scattering structure functions for a spin-1/2 hadron, providing new insights into their behavior at strong coupling.

Contribution

It presents the first calculation of polarized structure functions and elastic form factors for a spin-1/2 hadron using gauge/string duality at large coupling.

Findings

Derived polarized deep inelastic structure functions in supergravity approximation.

Proposed a sum rule for the g2 structure function, analogous to the Burkhardt-Cottingham sum rule.

Calculated elastic form factors for the spin-1/2 hadron.

Abstract

In this paper, we investigate deep inelastic and elastic scattering on a polarized spin-1/2 hadron using gauge/string duality. This spin-1/2 hadron corresponds to a supergravity mode of the dilatino. The polarized deep inelastic structure functions are computed in supergravity approximation at large t' Hooft coupling $\lambda$ and finite $x$ with $\lambda^{-1/2}\ll x<1$. Furthermore, we discuss the moments of all structure functions, and propose an interesting sum rule $\int_{0}^{1} \textrm{d}x g_2(x, q^2) =0$ for $g_2$ structure function which is known as the Burkhardt-Cottingham sum rule in QCD. In the end, the elastic scattering is studied and elastic form factors of the spin-1/2 hadron are calculated within the same framework.