Hadron structure functions at small $x$ from string theory

Abstract

Deep inelastic scattering of leptons from hadrons at small values of the Bjorken parameter $x$ is studied from superstring theory. In particular, we focus on single-flavored scalar and vector mesons in the large $N$ limit. This is studied in terms of different holographic dual models with flavor Dp-branes in type IIA and type IIB superstring theories, in the strong coupling limit of the corresponding dual gauge theories. We derive the hadronic tensor and the structure functions for scalar and polarized vector mesons. In particular, for polarized vector mesons we obtain the eight structure functions at small values of the Bjorken parameter. The main result is that we obtain new relations of the Callan-Gross type for several structure functions. These relations have similarities for all different Dp-brane models that we consider. This would suggest their universal character, and therefore, it is possible that they hold for strongly coupled QCD in the large $N$ limit.

50 pages, 6 figures

References in corpus (40)

• Low energy hadron physics in holographic QCD
• QCD and a Holographic Model of Hadrons
• Chiral symmetry breaking from five dimensional spaces
• Towards a holographic dual of large-N_c QCD
• The Pomeron and Gauge/String Duality
• The String Dual of a Confining Four-Dimensional Gauge Theory
• Deep Inelastic Scattering and Gauge/String Duality
• Meson Spectroscopy in AdS/CFT with Flavour
• Photon and dilepton production in supersymmetric Yang-Mills plasma
• A field-theory motivated approach to symbolic computer algebra
• Open & Closed vs. Pure Open String Disk Amplitudes
• Distribution Functions of the Nucleon and Pion in the Valence Region
• Pion and Rho Structure Functions from Lattice QCD
• The pion parton distribution function in the valence region
• Introducing Cadabra: a symbolic computer algebra system for field theory problems
• Decay of Excited D-branes
• Deep Inelastic Scattering in Conformal QCD
• AdS black disk model for small-x DIS
• On the Eikonal Approximation in AdS Space
• Saturation in Deep Inelastic Scattering from AdS/CFT
• Deep inelastic scattering off a N=4 SYM plasma at strong coupling
• String-Gauge Dual Description of Deep Inelastic Scattering at Small-$x$
• Four-point functions and kaon decays in a minimal AdS/QCD model
• Pionic and Hidden-Color, Six-Quark Contributions to the Deuteron b1 Structure Function
• Diagnostics of plasma photoemission at strong coupling
• BCFW Recursion Relations and String Theory
• Plasma photoemission from string theory
• The Pion Structure Function in a Constituent Model
• On gravitational couplings in D-brane action
• Plasma conductivity at finite coupling
• Deep inelastic scattering for vector mesons in holographic D4-D8 model
• Deep Inelastic Scattering from Holographic Spin-One Hadrons
• Deep inelastic scattering structure functions of holographic spin-1 hadrons with $N_f\ge 1$
• Pion Valence-quark Parton Distribution Function
• Holographic current correlators at finite coupling and scattering off a supersymmetric plasma
• Pomerons and BCFW recursion relations for strings on D-branes
• Towards 't Hooft parameter corrections to charge transport in strongly-coupled plasma
• Deep inelastic scattering cross sections from the gauge/string duality
• Towards holographic QCD: AdS/CFT, confinement deformation, and DIS at small-x
• Small-x Deep Inelastic Scattering via the Pomeron in AdS

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• Deep inelastic scattering cross sections from the gauge/string duality
• DIS off glueballs from string theory: the role of the chiral anomaly and the Chern-Simons term
• Deep Inelastic Scattering in the Exponentially Small Bjorken Parameter Regime from the Holographic Softwall Model
• Subregular W-algebras of type A
• Scope and limitations of a string theory dual description of the proton structure
• 1/N corrections to $F_1$ and $F_2$ structure functions of vector mesons from holography
• Deep inelastic scattering off scalar mesons in the 1/N expansion from the D3D7-brane system
• Higher-twist fermionic operators and DIS structure functions from the AdS/CFT duality
• Deeply Virtual Compton Scattering in Improved Holographic QCD
• Deep inelastic scattering with proton target in the presence of gluon condensation using holography