The Intrinsic Glue Distribution at Very Small x

Abstract

We compute the distribution functions for gluons at very small x and not too large values of transverse momenta. We extend the McLerran-Venugopalan model by using renormalization group methods to integrate out effects due to those gluons which generate an effective classical charge density for Weizsäcker-Williams fields. We argue that this model can be extended from the description of nuclei at small x to the description of hadrons at yet smaller values of x. This generates a Lipatov like enhancement for the intrinsic gluon distribution function and a non-trivial transverse momentum dependence as well. We estimate the transverse momentum dependence for the distribution functions, and show how the issue of unitarity is resolved in lepton-nucleus interactions.

31 pages, Latex2e, 5 postecript figure included, using epsf, latexsym, amssymb and fancyheadings

References in corpus (5)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Non-Abelian Weizsacker-Williams field and a two-dimensional effective color charge density for a very large nucleus
• Gluon Production at High Transverse Momentum in the McLerran-Venugopalan Model of Nuclear Structure Functions
• The Gluon Propagator in non-Abelian Weizsäcker-Williams fields
• Lattice Computations of Small-x Parton Distributions in a Model of Parton Densities in Very Large Nuclei

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• Prediction for unintegrated parton distributions
• Investigating the broadening phenomenon in two-particle correlations induced by gluon saturation
• Non-Abelian color fields from relativistic color charge configurations in the classical limit
• Proton and anti-proton production in the forward region of d+Au collisions at RHIC from the color glass condensate
• Heavy Quark Production in Ultra High Energy Cosmic Ray Interactions
• Distribution of multiple scatterings in proton-nucleus collisions at high energy
• Probing QCD dynamics in two-photon interactions at high energies
• On the behaviour of single scale hard small $x$ processes in QCD near the black disc limit
• Classicalization and unitarization of wee partons in QCD and Gravity: The CGC-Black Hole correspondence
• Exclusive heavy quark photoproduction in $pp$, $pPb$ and $PbPb$ collisions at the LHC and FCC energies
• Exclusive $\rho$ and $J/\Psi$ photoproduction in ultraperipheral $pO$ and $OO$ collisions at energies available at the CERN Large Hadron Collider
• Large distance behaviour of light cone operator product in perturbative and nonperturbative QCD regimes
• Near-integrability and confinement for high-energy hadron-hadron collisions
• Double vector meson production in the International Linear Collider
• Simple Mechanism of Softening Structure Functions at Low Transverse Momentum Region
• Next-to-Leading Order correction to inclusive particle spectra in the Color Glass Condensate framework
• Revisiting the Gluon Spectrum in the Boost-Invariant Glasma from a Semi-Analytic Approach
• Inclusive gauge boson production in the color dipole formalism
• A geometrizing higher twist effect on nuclear target
• Unequal rapidity correlators in the dilute limit of JIMWLK
• Single inclusive jet photoproduction at very forward rapidities in $pp$ and $pPb$ collisions at the LHC
• The wedge form of relativistic dynamics
• On the clustering properties of produced particles in high-energy $pp$ collisions
• Thermal radiation and inclusive production in the running coupling $k_T$ -- factorization approach
• Tachyon dynamics of the black disc limit in the hard small $x$ processes in QCD
• Fine structures of azimuthal correlations of two gluons in the glasma
• Average $p_t$ as a probe of high energy QCD dynamics
• Event-by-Event Study of Space-Time Dynamics in Flux-Tube Fragmentation
• Initial Conditions with Flow from a McLerran Venugopalan model with Transverse Dynamics
• Higher twists effects in DIS on nuclei at the EIC and LHeC: A phenomenological analysis
• Gluon Evolution and Saturation Proceedings
• Dijet impact factor in DIS at next-to-leading order in the Color Glass Condensate
• Parton model contributions as next-to-eikonal corrections to the dipole factorization of DIS and SIDIS at low $x_{Bj}$
• Low-x Physics
• Effective Field Theory Factorization for Diffraction
• Color Glass Condensate in Brane Models or Don't Ultra High Energy Cosmic Rays Probe $10^{15}eV$ Scale ?
• Probing Gluon Bose Correlations in Nuclear Wave Function in Deep Inelastic Scattering
• Compact construction algorithms for the singlets of SU(N) over mixed tensor product spaces
• Rapidity window dependence of ridge correlations in the glasma
• Perturbative structure of two- and four-point functions of color charge in a non-Gaussian small-$x$ action
• Charmonium spectrum and diffractive production in a light-front Hamiltonian approach
• Looking for quark saturation in proton and nuclei
• Statistical properties of partonic configurations and diffractive dissociation in high-energy electron-nucleus scattering
• Quantum collisions of finite-size ultrarelativistic nuclei
• Probing Saturation Physics in the Real Compton Scattering at Ultraperipheral $pPb$ Collisions
• Two-Particle Correlations in Heavy-Light Ion Collisions
• Initial Conditions and Global Event Properties from Color Glass Condensate
• From RHIC to EIC: Nuclear Structure Functions
• First correction to JIMWLK evolution from the classical equations of motion
• Unequal rapidity correlators in the dilute limit of JIMWLK
• Properties of inclusive hadron production in Deep Inelastic Scattering on heavy nuclei at low x
• NNLO classical solution for Lipatov's effective action for reggeized gluons
• QCD evolution with longitudinal fields and heavy quarks
• A unified description of initial and final state interactions in heavy ion collisions
• Transverse Spin and Classical Gluon Fields: Combining Two Perspectives on Hadronic Structure
• Scattering off the Color Glass Condensate
• Classical gluons field of relativistic color charges
• Small-x, Diffraction and Vector Mesons
• Early Time Dynamics and the Bulk
• QCD Beyond Leading Power
• Nonlinear corrections to the nuclear heavy flavor structure functions
• Gauge invariant momentum broadening of hard probes in glasma
• Reconstruction of the Dipole Amplitude in the Dipole Picture as a mathematical Inverse Problem
• CGC-induced longitudinal ridge in p-Pb collisions
• Coherent energy loss effects in dihadron azimuthal angular correlations in Deep Inelastic Scattering at small $x$
• 3-D Glasma initial state from small-x evolution
• Saturation Physics in Heavy Ion Collisions
• High energy DVCS on a photon and related meson exclusive production
• Classical initial conditions in high energy nucleus-nucleus collisions