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

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.

45 pages

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Cited by in corpus (7)

• Proton Structure Functions from an AdS/QCD model with a deformed background
• Deep inelastic scattering from polarized spin-$1/2$ hadrons at low $x$ from string theory
• DIS off glueballs from string theory: the role of the chiral anomaly and the Chern-Simons term
• 1/N corrections to $F_1$ and $F_2$ structure functions of vector mesons from holography
• Holographic signatures of resolved cosmological singularities
• Deep Inelastic Scattering on an Extremal RN-AdS Black Hole II: Holographic Fermi Surface
• Higher-twist fermionic operators and DIS structure functions from the AdS/CFT duality