Deep inelastic structure functions from supergravity at small x

Abstract

Deep inelastic structure functions can be calculated from supergravity when the Bjorken parameter $x$ satisfies $x>1/\sqrt{gN}$. We consider a gauge theory with very large 't Hooft coupling $gN$ in order to investigate the region $x<<1$. In this case the center of mass energy is large enough to increase the number of hadronic constituents of the final state. We calculate the structure functions in terms of the number of final hadronic constituents. At small $x$ we find a scaling law similar to geometric scaling but with ${\gamma }_s=0.5$ and $\lambda =1$.

In V1 we assumed the transversality of the 4-d hadronic tensor but considered a non conserved 5-d current that spoils this property. In this V2 we define a modified conserved 5-d current that solves this problem and preserves our previous results for the structure functions. We also clarify the meaning of our final hadronic state. 14 pgs., 1 latex fig

References in corpus (12)

• QCD and a Holographic Model of Hadrons
• Linear Confinement and AdS/QCD
• Hard Scattering and Gauge/String Duality
• Geometric scaling for the total gamma^* p cross section in the low x region
• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
• Deep Inelastic Scattering and Gauge/String Duality
• Saturation and BFKL dynamics in the HERA data at small x
• Hadronic Spectrum of a Holographic Dual of QCD
• Geometric scaling as traveling waves
• Structure of Vector Mesons in Holographic Model with Linear Confinement
• On the light glueball spectrum in a holographic description of QCD
• Form Factors and Wave Functions of Vector Mesons in Holographic QCD

Cited by in corpus (41)

• Impact-parameter dependent Color Glass Condensate dipole model and new combined HERA data
• Deep Inelastic Scattering in Conformal QCD
• Saturation in Deep Inelastic Scattering from AdS/CFT
• String-Gauge Dual Description of Deep Inelastic Scattering at Small-$x$
• On AdS/QCD correspondence and the partonic picture of deep inelastic scattering
• Shockwaves and deep inelastic scattering within the gauge/gravity duality
• Polarized DIS in N=4 SYM: Where is spin at strong coupling?
• Deeply Virtual Compton Scattering from Gauge/Gravity Duality
• Polarized Deep Inelastic and Elastic Scattering From Gauge/String Duality
• Vector meson production at low x from gauge/gravity duality
• Extraction of gluon distributions from structure functions at small x in holographic QCD
• Deep inelastic scattering for vector mesons in holographic D4-D8 model
• Thermal hadron spectrum in $e^{+}{e}^{-}$ annihilation from gauge/string duality
• Deep inelastic scattering of baryons in a modified soft wall model
• Proton Structure Functions from an AdS/QCD model with a deformed background
• Nucleon structure functions at small $x$ via the Pomeron exchange in AdS space with a soft infrared wall
• Polarized Deep Inelastic Scattering Off the "Neutron" From Gauge/String Duality
• Electromagnetic form factors from the fifth dimension
• Total hadronic cross sections at high energies in holographic QCD
• Soft photon anomaly and gauge/string duality
• Virtual Compton Scattering off a Spinless Target in AdS/QCD
• Deep inelastic scattering off a plasma with flavour from D3-D7 brane model
• Nonforward Compton scattering in AdS/CFT correspondence
• Generalized baryon form factors and proton structure functions in the Sakai-Sugimoto model
• Decay constants in AdS/QCD: a different approach
• Diffractive deep inelastic scattering in an AdS/CFT inspired model: A phenomenological study
• Elastic pion-proton and pion-pion scattering at high energies in holographic QCD
• Light-like mesons and deep inelastic scattering in finite-temperature AdS/CFT with flavor
• Hadron potentials within the gauge/string correspondence
• R-Current DIS on a Shock Wave: Beyond the Eikonal Approximation
• Deep Inelastic Scattering in the Exponentially Small Bjorken Parameter Regime from the Holographic Softwall Model
• Production of negative parity baryons in the holographic Sakai-Sugimoto model
• Structure functions in deep inelastic scattering from gauge/string duality beyond single-hadron final states
• Structure function of holographic quark-gluon plasma: Sakai-Sugimoto model versus its non-critical version
• Deep Inelastic Scattering in Holographic AdS/QCD Models
• Nuclear Structure Functions at Low-$x$ in a Holographic Approach
• Deep inelastic scattering with proton target in the presence of gluon condensation using holography
• Fermionic DIS from a deformed string/gauge correspondence model
• Holographic description of total hadronic cross sections at high energies
• Deep inelastic scattering from string/gauge duality with soft IR cutoff and exponentially small Bjorken parameter
• Deep Inelastic Scattering off a Plasma with a Background Magnetic Field