Towards 1/N corrections to deep inelastic scattering from the gauge/gravity duality

TL;DR

This paper explores $1/N^2$ corrections to deep inelastic scattering in the gauge/gravity duality framework, analyzing structure functions at subleading order and examining the effects of different limits on the results.

Contribution

It provides a detailed study of $1/N^2$ corrections to DIS structure functions using supergravity one-loop diagrams, highlighting the non-commuting limits of large N and high momentum transfer.

Findings

$1/N^{2n}$ and $rac{ ext{Lambda}^2}{q^2}$ dependence analyzed

Supergravity one-loop diagrams correspond to two-hadron final states

Different limits of N and $q$ do not commute

Abstract

$1/N^2$ corrections to deep inelastic scattering (DIS) of charged leptons from glueballs at strong coupling are investigated in the framework of the gauge/gravity duality. The structure functions $F_1$ and $F_2$ (and also $F_L$) are studied at subleading order in the $1/N^2$ expansion, in terms of $q^2$ and the Bjorken parameter $x$. The relevant type IIB supergravity one-loop diagrams (which correspond to DIS with two-hadron final states) are studied in detail, while $n$-loop diagrams (corresponding to DIS with $(n+1)$-hadron final states) are briefly discussed. The $1/N^{2n}$ and $\Lambda^2/q^2$ dependence of the structure functions is analyzed. Within this context two very different limits are considered: one is the large $N$ limit and the other one is when the virtual photon momentum transfer $q$ is much larger than the infrared confining scale $\Lambda$. These limits do not commute.