Relating different approaches to nonlinear QCD evolution at finite gluon density

Abstract

We analyze the relation between evolution equations at low x that have been derived in different approaches in the last several years. We show that the equation derived by Balitsky and Kovchegov is obtained from the Jalilian-Marian-Kovner-Leonidov-Weigert (JKLW) equation in the limit of small induced charge density. We argue that the higher nonlinearities resummed by the JKLW equation correspond, in physical terms, to the breakdown of the eikonal approximation when the gluon fields in the target are large.

References in corpus (10)

• Unitarization of the BFKL Pomeron on a Nucleus
• The initial energy density of gluons produced in very high energy nuclear collisions
• Parton Saturation at Small x and in Large Nuclei
• Solution to the evolution equation for high parton density QCD
• Vector potential versus colour charge density in low-x evolution
• Toward Equilibration in the Early Stages After a High Energy Heavy Ion Collision
• Diffractive Dissociation Including Multiple Pomeron Exchanges in High Parton Density QCD
• Large Scale Rapidity Correlations in Heavy Ion Collisions
• Wong's equations and the small x effective action in QCD
• Soft Perturbative QCD

Cited by in corpus (373)

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• Probing colored glass via $q\bar{q}$ photoproduction II: diffraction
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• The Description of $F_2$ at Very High Parton Densities
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• Exclusive processes with a leading neutron in $ep$ collisions
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• JIMWLK Evolution, Lindblad Equation and Quantum-Classical Correspondence
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• QCD motivated approach to soft interactions at high energy: inclusive production
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• CGC/saturation approach for high energy soft interactions: ${\mathbf{v}}_2$ in proton-proton collisions
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• Running Coupling Corrections to Nonlinear Evolution for Diffractive Dissociation
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• Ultra-forward particle production from CGC+Lund fragmentation
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• Heavy quark production in deep inelastic electron-nucleus scattering
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• Geometric Scaling in Mueller-Navelet Jets
• The BFKL Pomeron Calculus in zero transverse dimensions: diffractive processes and survival probability for central diffractive production
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• Coherent and incoherent diffractive hadron production in pA collisions and gluon saturation
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• Rapidity dependence of the photon to pion production ratio in high energy collisions
• Sudakov effects and the dipole amplitude
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• Long range rapidity correlations in soft interaction at high energies
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• Inside looking out: probing JIMWLK with BFKL calculations
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• Energy evolution of J/$\psi$ production in DIS on nuclei
• Exclusive vector meson production with leading neutrons in a saturation model for the dipole amplitude in mixed space
• Double vector meson production in the International Linear Collider
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• Perturbative structure of two- and four-point functions of color charge in a non-Gaussian small-$x$ action
• Probing Saturation Physics in the Real Compton Scattering at Ultraperipheral $pPb$ Collisions
• High-energy factorization and evolution with improved kinematics
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• From RHIC to EIC: Nuclear Structure Functions
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• Finite volume effects in the McLerran-Venugopalan initial condition for the JIMWLK equation
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• Dijet photoproduction at low $x$ at next-to-leading order and its back-to-back limit
• Impact Factor for Exclusive Diffractive Dijet Production with NLO Accuracy
• Low x Physics
• High energy DVCS on a photon and related meson exclusive production
• Entanglement, Trace Anomaly and Confinement in QCD
• Color-glass condensate beyond the Gaussian approximation
• Glauber quark and gluon contributions to quark energy loss at next-to-leading order and next-to-leading twist
• Markov Chain Mote Carlo solution of BK equation through Newton-Kantorovich method
• Probing gluon saturation via diffractive jets in ultra-peripheral nucleus-nucleus collisions
• A unified description of initial and final state interactions in heavy ion collisions
• Properties of inclusive hadron production in Deep Inelastic Scattering on heavy nuclei at low x