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Deep inelastic scattering off scalar mesons in the 1/N expansion from the D3D7-brane system
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abstract
Deep inelastic scattering (DIS) of charged leptons off scalar mesons in the $1/N$ expansion is studied by using the gauge/gravity duality. We focus on the D3D7-brane system and investigate the corresponding structure functions by considering both the high energy limit and the $1/N$ expansion. These limits do not commute. From the D7-brane DBI action we derive a Lagrangian at sub-leading order in the D7-brane fluctuations and obtain a number of interactions some of which become relevant for two-hadron final-state DIS. By considering first the high energy limit followed by the large $N$ one, our results fit lattice QCD data within $1.27\%$ for the first three moments of $F_2$ for the lightest pseudoscalar meson.
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Glueball-fermion hard scattering from type IIB superstring theory
A holographic calculation derives the glueball-fermion hard-scattering amplitude from type IIB string theory and predicts s^{-11} fixed-angle cross-section scaling for the lightest states.
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