A Gaussian effective theory for gluon saturation

Abstract

We construct a Gaussian approximation to the effective theory for the Colour Glass Condensate which describes correctly the gluon distribution both in the low density regime at high transverse momenta (above the saturation scale $Q_s$), and in the high density regime below $Q_s$, and provides a simple interpolation between these two regimes. At high momenta, the effective theory reproduces the BFKL dynamics, while at low momenta, it exhibits gluon saturation and, related to it, colour neutrality over the short distance scale $1/Q_s\ll 1/{\Lambda }_{QCD}$. Gauge--invariant quantities computed within this approximation are automatically infrared finite.

41 pages, 7 figure

References in corpus (27)

• Nonlinear Gluon Evolution in the Color Glass Condensate: II
• The Renormalization Group Equation for the Color Glass Condensate
• Manifestations of high density QCD in the first RHIC data
• A Modification of the Saturation Model: DGLAP evolution
• The Energy Dependence of the Saturation Momentum
• Geometric Scaling above the Saturation Scale
• Parton saturation and N_part scaling of semi--hard processes in QCD
• Coherent gluon production in very high energy heavy ion collisions
• Forward Quark Jets from Protons Shattering the Colored Glass
• The Energy Dependence of the Saturation Momentum from RG Improved BFKL Evolution
• How Protons Shatter Colored Glass
• Diffusion into infra-red and unitarization of the BFKL pomeron
• Photon production in high energy proton-nucleus collisions
• A Simple Derivation of the JIMWLK Equation
• Parton densities and dipole cross-sections at small x in large nuclei
• Froissart Bound from Gluon Saturation
• Non linear gluon evolution in path-integral form
• Perturbative Saturation and the Soft Pomeron
• Probing colored glass via $q\bar{q}$ photoproduction
• Dilepton production from the Color Glass Condensate
• Nuclear Structure Functions and Heavy Flavour Leptoproduction Off the Nucleus at Small x in Perturbative QCD
• Scaling phenomena from non-linear evolution in high energy DIS
• Non-linear evolution and high energy diffractive production
• Diffractive dissociation and saturation scale from non-linear evolution in high energy DIS
• Gluon Distributions and Color Charge Correlations in a Saturated Light-cone Wavefunction
• Probing colored glass via $q\bar{q}$ photoproduction II: diffraction
• The Colour Glass Condensate

Cited by in corpus (70)

• The Color Glass Condensate
• Saturation and BFKL dynamics in the HERA data at small x
• Saturation Physics and Deuteron--Gold Collisions at RHIC
• High energy pA collisions in the color glass condensate approach I. Gluon production and the Cronin effect
• The evolving Glasma
• The eccentricity in heavy-ion collisions from Color Glass Condensate initial conditions
• Odderon in the Color Glass Condensate
• Renormalization group evolution of multi-gluon correlators in high energy QCD
• Color Glass Condensate and Glasma
• Hydrodynamic afterburner for the Color Glass Condensate and the parton energy loss
• Study of the Fundamental Structure of Matter with an Electron-Ion Collider
• Glittering Glasmas
• From Color Glass to Color Dipoles in high-energy onium--onium scattering
• Saturation and parton level Cronin effect: enhancement vs suppression of gluon production in p-A and A-A collisions
• Subleading-N_c corrections in non-linear small-x evolution
• Tracing the origin of azimuthal gluon correlations in the color glass condensate
• Large mass Q-Qbar production from the Color Glass Condensate
• Diffusive scaling and the high-energy limit of deep inelastic scattering in QCD at large N_c
• Exclusive vector meson production at HERA from QCD with saturation
• Baryon Stopping and the Valence Quark Distribution at Small x
• Expanding color flux tubes and instabilities
• Cronin effect and high-p_T suppression in the nuclear gluon distribution at small x
• Open charm production in heavy ion collisions and the Color Glass Condensate
• Heavy quark production by a quasi-classical color field in proton-nucleus collisions
• Saturation and shadowing in high-energy proton-nucleus dilepton production
• The Color Glass Condensate density matrix: Lindblad evolution, entanglement entropy and Wigner functional
• Quantitative study of the violation of kt-factorization in hadroproduction of quarks at collider energies
• The non-linear evolution of jet quenching
• Entanglement entropy and entropy production in the Color Glass Condensate framework
• JIMWLK evolution in the Gaussian approximation
• Systematics of geometric scaling
• The non-linear Glasma
• Non-perturbative computation of double inclusive gluon production in the Glasma
• Towards a New Global QCD Analysis: Solution to the Non-Linear Equation at Arbitrary Impact Parameter
• Initial energy density and gluon distribution from the Glasma in heavy-ion collisions
• Gluon splitting in a shockwave
• Diffractive photon dissociation in the saturation regime from the Good and Walker picture
• Extracting many-body color charge correlators in the proton from exclusive DIS at large Bjorken x
• Light projectile scattering off the Color Glass Condensate
• The QCD Pomeron in ultraperipheral heavy ion collisions: III. Photonuclear production of heavy quarks
• Cos(4 phi) azimuthal anisotropy in small-x DIS dijet production beyond the leading power TMD limit
• A zero-dimensional model for high-energy scattering in QCD
• Evolution to the Quark-Gluon Plasma
• Enhancement and Suppression of the Neutrino-Nucleon Total Cross Section at Ultra-High Energies
• Collinearly improved JIMWLK evolution in Langevin form
• Dilepton low $p_T$ suppression as an evidence of the Color Glass Condensate
• One-dimensional model for QCD at high energy
• Randomness in infinitesimal extent in the McLerran-Venugopalan model
• Searching Evidence for the Color Glass Condensate at RHIC
• JIMWLK evolution for multi-particle production in Langevin form
• Finite Numbers of Sources, Particle Correlations and the Color Glass Condensate
• Two-Gluon Production and Longitudinal Correlations in the Color Glass Condensate
• Testing the Gaussian Approximation to the JIMWLK Equation
• Liouville field theory for gluon saturation in QCD at high energy
• General formulae for dipole Wilson line correlators with the Color Glass Condensate
• Using dileptons to probe the Color Glass Condensate
• Energy-momentum tensor of the dilute (3+1)D Glasma
• Color Glass Condensate and its relation to HERA physics
• Fluctuations of the gluon distribution from the small-x effective action
• Generalized parton distributions and Deeply Virtual Compton Scattering in Color Glass Condensate model
• The small-x gluon distribution in centrality biased pA and pp collisions
• Incoherent diffractive dijet production and gluon Bose enhancement in the nuclear wave function
• The Weizsäcker-Williams distribution of linearly polarized gluons (and its fluctuations) at small x
• Distribution of multiple scatterings in proton-nucleus collisions at high energy
• From the colour glass condensate to filamentation: Systematics of classical Yang-Mills theory
• Topological charge fluctuations in the Glasma
• Are there monojets in high-energy proton-nucleus collisions?
• Probing Gluon Bose Correlations in Nuclear Wave Function in Deep Inelastic Scattering
• Violation of kT factorization in quark production from the Color Glass Condensate
• Baryon kinetic energy loss in the color flux tube model