Deep inelastic scattering with proton target in the presence of gluon condensation using holography

Abstract

We study the deep inelastic scattering (DIS) of a proton-targeted lepton in the presence of gluon condensation using gauge/gravity duality. We use a modified $Ad{S}_5$ background where the modification parameter $c$ corresponds to the gluon condensation in the boundary theory. Firstly, when examining the electromagnetic field, we find that non-zero $c$ can increase the magnitude of the field. Our goal is to find the acceptable value of $c$ for this scattering and our method is based on setting the mass of the proton as an eigenvalue of the baryonic state equations of the DIS to find the acceptable value of the parameter c on the other side of the equations. Therefore in the second step, we calculate wave function equations for the baryonic states where the mass of the proton target requires a value contribution of $c$ as $c=0.0120{\mathrm{GeV}}^4$. Proceeding by the electromagnetic field and the baryonic states, we derive the holographic interaction action related to the amplitude of the scattering. Finally, we compute the corresponding structure functions numerically as functions of $x$ and $q$, which are Bjorken variables and the lepton momentum transfers, respectively. Comparing the Jlab Hall $C$ data with our theoretical calculations, our results are acceptable.

arXiv comment21 pages, 5 figures, 1 table, it is to be published in Chinese Physics C

References in corpus (57)

• Gauge Theory Correlators from Non-Critical String Theory
• New parton distribution functions from a global analysis of quantum chromodynamics
• Hard Scattering and Gauge/String Duality
• Deep Inelastic Scattering and Gauge/String Duality
• Spinors and the AdS/CFT correspondence
• Conformal Field Theory Correlators from Classical Field Theory on Anti-de Sitter Space II. Vector and Spinor Fields
• Nucleon electromagnetic and gravitational form factors from holography
• Toward a Systematic Holographic QCD: A Braneless Approach
• Universality of Generalized Parton Distributions in Light-Front Holographic QCD
• Gauge-invariant field-strength correlators in pure Yang-Mills and full QCD at finite temperature
• Deep inelastic scattering at strong coupling from gauge/string duality : the saturation line
• AdS black disk model for small-x DIS
• Saturation in Deep Inelastic Scattering from AdS/CFT
• Dilaton-driven confinement
• Spectroscopy of fermionic operators in AdS/CFT
• Lattice QCD Calculation for the Physical Equation of State
• Critical behavior of charmonia across the phase transition: A QCD sum rule approach
• 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
• DIS on a Large Nucleus in AdS/CFT
• Deep inelastic scattering from gauge string duality in the soft wall model
• Deep inelastic structure functions from supergravity at small x
• Effective holographic models for QCD: glueball spectrum and trace anomaly
• Polarized DIS in N=4 SYM: Where is spin at strong coupling?
• Effective degrees of freedom and gluon condensation in the high temperature deconfined phase
• Gluon Condensate, Wilson Loops and Gauge/String Duality
• Two-Boundaries AdS/CFT Correspondence in Dilatonic Gravity
• Unified Description of Polarized and Unpolarized Quark Distributions in the Proton
• Dynamical corrections to the anomalous holographic softwall model: the pomeron and the odderon
• Polarized Deep Inelastic and Elastic Scattering From Gauge/String Duality
• Anomalous dimensions and scalar glueball spectroscopy in AdS/QCD
• Fermions and baryons as open-string states from brane junctions
• Deep inelastic scattering from gauge string duality in D3-D7 brane model
• Temperature and chemical potential dependence of the gluon condensate: a holographic study
• Extraction of gluon distributions from structure functions at small x in holographic QCD
• Deep inelastic scattering for vector mesons in holographic D4-D8 model
• Hadron structure functions at small $x$ from string theory
• Deep inelastic scattering structure functions of holographic spin-1 hadrons with $N_f\ge 1$
• Proton Structure Functions from an AdS/QCD model with a deformed background
• Deep inelastic scattering of baryons in a modified soft wall model
• The effect of gluon condensate on holographic heavy quark potential
• Polarized Deep Inelastic Scattering Off the "Neutron" From Gauge/String Duality
• The Temperature Dependence of the SU(N) Gluon Condensate from Lattice Gauge Theory
• The proton and deuteron F_2 structure function at low Q^2
• Deep inelastic scattering cross sections from the gauge/string duality
• Deep inelastic scattering off a plasma with flavour from D3-D7 brane model
• Deep Inelastic Scattering from the AdS/CFT correspondence
• 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
• Meson spectra in a gluon condensate background
• The Virtual Photon Structure Functions and AdS/QCD Correspondence
• Non-minimal coupling contribution to DIS at low $x$ in Holographic QCD
• Structure functions in deep inelastic scattering from gauge/string duality beyond single-hadron final states
• Conformal symmetry breaking in holographic QCD
• Nonlocal and Mixed Condensates Tests of Gauge/String Duality
• QCD condensates and holographic Wilson loops for asymptotically AdS spaces