Saturation and linear transport equation

Abstract

We show that the GBW saturation model provides an exact solution to the one dimensional linear transport equation. We also show that it is motivated by the BK equation considered in the saturated regime when the diffusion and the splitting term in the diffusive approximation are balanced by the nonlinear term.

Minor corrections. Accepted for publication in Phys. Lett. B

References in corpus (30)

• Operator expansion for high-energy scattering
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• Nonlinear Gluon Evolution in the Color Glass Condensate: I
• Saturation Effects in Deep Inelastic Scattering at low $Q^2$ and its Implications on Diffraction
• The Wilson renormalization group for low x physics: towards the high density regime
• The BFKL Equation from the Wilson Renormalization Group
• The Renormalization Group Equation for the Color Glass Condensate
• Saturation in Diffractive Deep Inelastic Scattering
• The Wilson renormalization group for low x physics: Gluon evolution at finite parton density
• Single and Double BFKL Pomeron Exchange and a Dipole Picture of High Energy Hard Processes
• Geometric scaling for the total gamma^* p cross section in the low x region
• A Modification of the Saturation Model: DGLAP evolution
• Factorization and high-energy effective action
• Unitarization of Gluon Distribution in the Doubly Logarithmic Regime at High Density
• Geometric Scaling above the Saturation Scale
• Front propagation into unstable states: Universal algebraic convergence towards uniformly translating pulled fronts
• Geometric scaling as traveling waves
• Factorization for high-energy scattering
• Structure function of the nucleus in the perturbative QCD with $N_c\to \infty$ (BFKL pomeron fan diagrams)
• Effective field theory for the small-x evolution
• Diffusion into infra-red and unitarization of the BFKL pomeron
• Numerical analysis of the Balitsky-Kovchegov equation with running coupling: dependence of the saturation scale on nuclear size and rapidity
• Universality and tree structure of high energy QCD
• Screening effects in the ultrahigh energy neutrino interactions
• Unintegrated gluon distribution from modified BK equation
• Higher Order Effects in Non Linear Evolution from a Veto in Rapidities
• The Balitsky-Kovchegov equation in full momentum space
• A momentum Space Analysis of the Triple Pomeron Vertex in pQCD
• Gluon shadowing in the low x region probed by the LHC
• Gluon density and $F_2$ functions from BK equation with impact parameter dependence

Cited by in corpus (6)

• Gluon saturation in dijet production in p-Pb collisions at Large Hadron Collider
• Gluon saturation and entropy production in proton proton collisions
• Sudakov effects and the dipole amplitude
• Non-linear evolution of unintegrated gluon density at large values of coupling constant
• Saturation effects in QCD from linear transport equation
• Non-linear evolution equation for gluon density at large values of coupling constant