Eikonal Evolution and Gluon Radiation

Abstract

We give a simple quantum mechanical formulation of the eikonal propagation approximation, which has been heavily used in recent years in problems involving hadronic interactions at high energy. This provides a unified framework for several approaches existing in the literature. We illustrate this scheme by calculating the total, elastic, inelastic and diffractive DIS cross sections, as well as gluon production in high energy hadronic collisions. From the q-qbar-g-component of the DIS cross sections, we straightforwardly derive low x evolution equations for inelastic and diffractive DIS distribution functions. In all calculations, we provide all order 1/N corrections to the results existing in the literature.

40 pages, LaTeX, 3 eps-figures, typos corrected, to be published in PRD

References in corpus (3)

• The Renormalization Group Equation for the Color Glass Condensate
• The color dipole picture of the Drell-Yan process
• Non-Gaussian Correlations in the McLerran-Venugopalan Model

Cited by in corpus (119)

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• Thermalization of Strongly Coupled Field Theories
• Cronin Effect and High-p_T Suppression in pA Collisions
• Wilson loops in heavy ion collisions and their calculation in AdS/CFT
• Holographic Thermalization
• Inclusive Gluon Production in DIS at High Parton Density
• High energy pA collisions in the color glass condensate approach II. Quark production
• Forward inclusive dijet production and azimuthal correlations in pA collisions
• Forward Quark Jets from Protons Shattering the Colored Glass
• Single Inclusive Hadron Production at RHIC and the LHC from the Color Glass Condensate
• Nuclear enhancement of universal dynamics of high parton densities
• Inclusive Two-Gluon and Valence Quark-Gluon Production in DIS and pA
• Revealing proton shape fluctuations with incoherent diffraction at high energy
• Diffusion into infra-red and unitarization of the BFKL pomeron
• Mining for Gluon Saturation at Colliders
• High energy factorization in nucleus-nucleus collisions
• Numerical analysis of the Balitsky-Kovchegov equation with running coupling: dependence of the saturation scale on nuclear size and rapidity
• Study of the Fundamental Structure of Matter with an Electron-Ion Collider
• Quark pair production in high energy pA collisions: General features
• In pursuit of Pomeron loops: the JIMWLK equation and the Wess-Zumino term
• 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
• Diffusive scaling and the high-energy limit of deep inelastic scattering in QCD at large N_c
• Jet Quenching Parameter in Medium with Chemical Potential from AdS/CFT
• Perturbative Saturation and the Soft Pomeron
• Diffractive Dijet Production in Deep Inelastic Scattering and Photon-Hadron Collisions in the Color Glass Condensate
• High Gluon Densities in Heavy Ions Collisions
• Nonlinear corrections to the DGLAP equations in view of the HERA data
• Universality of multi-particle production in QCD at high energies
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• Heavy quark production by a quasi-classical color field in proton-nucleus collisions
• New observables to test the Color Glass Condensate beyond the large-N_c limit
• Parton model description of multiparticle azimuthal correlations in $pA$ collisions
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• Diffractive dijet production in impact parameter dependent saturation models
• Particle Correlations in Saturated QCD Matter
• The Transverse-momentum-dependent Parton Distribution Function and Jet Transport in Medium
• Scattering of shock waves in QCD
• Gluon propagation inside a high-energy nucleus
• Dense-Dilute Duality at work: dipoles of the target
• Estimating nonlinear effects in forward dijet production in ultra-peripheral heavy ion collisions at the LHC
• Treading on the cut: Semi inclusive observables at high energy
• A QCD dipole formalism for forward-gluon production
• On multiple scatterings of mesons in hot and cold QCD matter
• HERA-data in the light of small x evolution with state of the art NLO input
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• Saturation in diffractive deep inelastic eA scattering
• J/Psi production in heavy ion collisions and gluon saturation
• Drell-Yan production and Lam-Tung relation in the Color Glass Condensate formalism
• Diffractive photon dissociation in the saturation regime from the Good and Walker picture
• One-Loop Corrections to Dihadron Production in DIS at Small $x$
• Spacelike strings and jet quenching from a Wilson loop
• Relating the description of gluon production in pA collisions and parton energy loss in AA collisions
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• Forward gluon production in hadron-hadron scattering with Pomeron loops
• Extension of the Color Glass Condensate Approach to Diffractive Reactions
• Diffractive dissociation from non-linear evolution in DIS on nuclei
• The classical field created in early stages of high energy nucleus-nucleus collisions
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• Single Inclusive Hadron Production in DIS at Small $x$: Next to Leading Order Corrections
• From bubbles to foam: dilute to dense evolution of hadronic wave function at high energy
• Testing saturation with diffractive jet production in deep inelastic scattering
• Collinear Singularities and Running Coupling Corrections to Gluon Production in CGC
• Sivers asymmetry of Drell-Yan production in small-$x$ regime
• Measuring Color Memory in a Color Glass Condensate at Electron-Ion Colliders
• TMD factorization and the gluon distribution in high energy QCD
• Medium-induced emissions of hard gluons
• Proton hot spots and exclusive vector meson production
• A modified in-medium evolution equation with color coherence
• Dihadron Production in DIS at Small $x$ at Next to Leading Order: Transverse Photons
• Initial correlations of the Glasma energy-momentum tensor
• Asymmetric transverse momentum broadening in an inhomogeneous medium
• Two-Gluon Production and Longitudinal Correlations in the Color Glass Condensate
• Multipole scattering amplitudes in the Color Glass Condensate formalism
• Penetration of a high energy QQbar bound state through SU(N) color background
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• Diffractive electron-nucleus scattering and ancestry in branching random walks
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• Medium-induced gluon radiation in hard forward parton scattering in the saturation formalism
• Unitarity Corrections to the Drell-Yan Process in the Target Rest Frame
• First Saturation Correction in High Energy Proton-Nucleus Collisions: I. Time evolution of classical Yang-Mills fields beyond leading order
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• Multiparticle azimuthal angular correlations in $pA$ collisions
• Wilson line correlators beyond the large-$N_c$
• Probing the Frontiers of QCD
• Quark Matter 2005: Experimental Conference Summary
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• Unitarity Corrections to the Proton Structure Functions through the Dipole Picture
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• First saturation correction in high energy proton-nucleus collisions: Part III. Ensemble averaging
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• Distribution of multiple scatterings in proton-nucleus collisions at high energy
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• Probing Gluon Bose Correlations in Nuclear Wave Function in Deep Inelastic Scattering
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• CGC for Ultra-Peripheral Pb+Pb Collisions at the Large Hadron Collider: a more realistic calculation
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• High energy scattering and emission in QED&QCD media
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• Classical initial conditions in high energy nucleus-nucleus collisions
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