Nonlinear Gluon Evolution in the Color Glass Condensate: I

Abstract

We consider a nonlinear evolution equation recently proposed to describe the small-$x$ hadronic physics in the regime of very high gluon density. This is a functional Fokker-Planck equation in terms of a classical random color source, which represents the color charge density of the partons with large $x$. In the saturation regime of interest, the coefficients of this equation must be known to all orders in the source strength. In this first paper of a series of two, we carefully derive the evolution equation, via a matching between classical and quantum correlations, and set up the framework for the exact background source calculation of its coefficients. We address and clarify many of the subtleties and ambiguities which have plagued past attempts at an explicit construction of this equation. We also introduce the physical interpretation of the saturation regime at small $x$ as a Color Glass Condensate. In the second paper we shall evaluate the expressions derived here, and compare them to known results in various limits.

67 pages, 7 eps figures

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• A simple evolution equation for rapidity distributions in nucleus-nucleus collisions
• Extracting the Distribution Amplitudes of the rho meson from the Color Glass Condensate
• The dipole picture and the non-relativistic expansion
• NLO computation of diffractive di-hadron production in a saturation framework
• Color dipoles from Bremsstrahlung in QCD evolution at high energy
• Measuring the saturation scale in nuclei
• The dipole form of the gluon part of the BFKL kernel
• Selected topics in diffraction with protons and nuclei: past, present, and future
• Measuring Color Memory in a Color Glass Condensate at Electron-Ion Colliders
• Photoproduction of ${\rho }^0$ mesons in ultraperipheral heavy ion collisions at energies available at the BNL Relativistic Heavy Ion Collider (RHIC) and CERN Large Hadron Collider (LHC)
• Heavy flavour production in DGLAP improved saturation model
• ${\gamma }^{\ast }{\gamma }^{\ast }$ Cross Section at NLO and Properties of the BFKL Evolution at Higher Orders
• An Analytical Solution of the Balitsky-Kovchegov Equation with the Homogeneous Balance Method
• Inclusive prompt photon-jet correlations as a probe of gluon saturation in electron-nucleus scattering at small $x$
• Photon from the annihilation process with CGC in the $pA$ collision
• A modified Balitsky-Kovchegov equation
• Searching Evidence for the Color Glass Condensate at RHIC
• Multi Quark Production in p+A collisions: Quantum Interference Effects
• Dihadron production in DIS at NLO: the real corrections
• On the coordinate representation of NLO BFKL
• Saturation Physics in Ultra High Energy Cosmic Rays: Heavy Quark Production
• TMD factorization and the gluon distribution in high energy QCD
• The dipole form of the quark part of the BFKL kernel
• New paradigm for fluctuations in heavy-ion collisions
• N=4 SYM and QCD motivated approach to soft interactions at high energies
• Color Glass Condensate in Schwinger-Keldysh QCD
• Origins of collectivity in small systems
• Running coupling effects in the evolution of jet quenching
• High energy scattering in the saturation regime including running coupling and rare fluctuation effects
• Small $x$ Physics Beyond Eikonal Approximation: an Effective Hamiltonian Approach
• TMD factorization for dijets + photon production from the dilute-dense CGC framework
• Threshold Resummation for Hadron Production in the Small-$x$ Region
• Single Inclusive Jet Production in $pA$ Collisions at NLO in the small-$x$ regime
• Heavy quark production and gluon saturation in double parton scattering at LHC
• A comparative study of the neutrino-nucleon cross section at ultra high energies
• JIMWLK evolution for multi-particle production in Langevin form
• Initial State Quantum Fluctuations in the Little Bang
• Initial state and thermalization in the Color Glass Condensate framework
• Fluctuations as a test of chemical non-equilibrium at the LHC
• ${\gamma }^{\ast }p$ cross section from the dipole model in momentum space
• Colour field flux tubes and Casimir scaling for various SU(3) representations
• Geometrical Scaling in Inelastic Inclusive Particle Production at the LHC
• Probing the Color Glass Condensate in an electron-ion collider
• Dihadron Production in DIS at Small $x$ at Next to Leading Order: Transverse Photons
• Gluon-mediated inclusive Deep Inelastic Scattering from Regge to Bjorken kinematics
• Space-Time Picture of Baryon Stopping in the Color-Glass Condensate
• Resumming subleading Sudakov logarithms in saturation regime
• The Color Glass Condensate formalism, Balitsky-JIMWLK evolution and Lipatov's high energy effective action
• Effective action for reggeized gluons, classical gluon field of relativistic color charge and color glass condensate approach
• The Edge of Jets and Subleading Non-Global Logs
• Quark correlations in the Color Glass Condensate: Pauli blocking and the ridge
• NLO evolution of 3-quark Wilson loop operator
• Asymptotic neutrino-nucleon cross section and saturation effects
• Theoretical overview: towards understanding the quark-gluon plasma
• The Yin and Yang of High Energy Chromodynamics: Scattering in Black and White
• Dipole-dipole scattering in CGC/saturation approach at high energy: summing Pomeron loops
• QCD Resummation in Hard Diffractive Dijet Production at the Electron-Ion Collider
• Rapidity and species dependence of particle production at large transverse momentum for $d$+Au collisions at \sqrt s_NN = 200 GeV
• Classical Gluon Production Amplitude for Nucleus-Nucleus Collisions: First Saturation Correction in the Projectile
• Initial correlations of the Glasma energy-momentum tensor
• CCFM Evolution with Unitarity Corrections
• $J/\psi$ polarization in high multiplicity $pp$ and $pA$ collisions: CGC+NRQCD approach
• Charge Transfer Fluctuations as a Signal for QGP
• Quantitative study of the transverse correlation of soft gluons in high energy QCD
• The high energy behavior of QCD: The effective action and the triple-Pomeron-vertex
• Matching of the low-x evolution kernels
• One loop light-cone QCD, effective action for reggeized gluons and QCD RFT calculus
• Reaction-diffusion processes in zero transverse dimensions as toy models for high-energy QCD
• Coherent and incoherent vector meson electroproduction in the future electron-ion colliders: the hot-spot predictions
• Photon-jet ridge at RHIC and the LHC
• KLWMIJ Reggeon Field Theory beyond the large $N_c$ limit
• Higgs boson production in high energy proton-nucleus collisions
• Progress on 3+1D Glasma simulations
• Saturation at Hadron Colliders
• Charge-dependent directed flows in heavy-ion collisions by Boltzmann-Maxwell equations
• Di-photon "Ridge" in p+p and p+A collisions at RHIC and the LHC
• Diffractive deeply inelastic scattering in future electron-ion colliders
• Improvement for Color Glass Condensate factorization: single hadron production in pA collisions at next-to-leading order
• CGC/saturation approach: a new impact-parameter dependent model in the next-to-leading order of perturbative QCD
• Saturation effects in SIDIS at very forward rapidities
• Some Aspects of the Theory of Heavy Ion Collisions
• A simple model for rapidity fluctuations in the initial state of ultra-relativistic heavy-ion collisions
• On parton number fluctuations at various stages of the rapidity evolution
• From Glasma to Quark Gluon Plasma in heavy ion collisions
• Inelastic processes in DIS and N=4 SYM
• Testing the Gaussian Approximation to the JIMWLK Equation
• Resumming double non-global logarithms in the evolution of a jet
• Helicity Evolution at Small $x$: Revised Asymptotic Results at Large $N_c\&N_f$
• Multipole scattering amplitudes in the Color Glass Condensate formalism
• The BFKL Pomeron Calculus in the dipole approach
• A phenomenological analysis of the longitudinal structure function at small $x$ and low $Q^2$
• Probing colored glass via $q\bar{q}$ photoproduction II: diffraction
• The evolution of the small x gluon TMD
• TMD gluon distributions for multiparton processes
• Non-linear QCD dynamics and exclusive production in $ep$ collisions
• Nonlinear evolution of pomeron and odderon in momentum space
• Diphoton production in high-energy p+A collisions
• How particles emerge from decaying classical fields in heavy ion collisions: towards a kinetic description of the Glasma
• Gluon saturation and Feynman scaling in leading neutron production
• A critical review of RHIC experimental results
• Forward Neutrinos from Charm at Large Hadron Collider
• CGC/saturation approach: a new impact-parameter dependent model
• Sudakov suppression of the Balitsky-Kovchegov kernel
• Probing gluon number density with electron-dijet correlations at EIC
• The dipole representation of vector meson electroproduction beyond leading twist
• $J/\psi$ production in hadron scattering: three-pomeron contribution
• Quark production in heavy ion collisions I. Formalism and boost invariant fermionic light-cone mode functions
• Diffractive single hadron production in a saturation framework at the NLO
• Conformal symmetry of JIMWLK Evolution at NLO
• Saturation and geometric scaling in DIS at small x
• Matching next-to-leading-order and high-energy-resummed calculations of heavy-quarkonium-hadroproduction cross sections
• Geometric scaling in exclusive processes
• Finite-size effects on small-$x$ evolution and saturation in proton and nuclear targets
• Illustrated study of the semi-holographic non-perturbative framework
• Lensing Mechanism Meets Small-$x$ Physics: Single Transverse Spin Asymmetry in $p^{\uparrow }+p$ and $p^{\uparrow }+A$ Collisions
• Regge Field Theory in zero transverse dimensions: loops versus "net" diagrams
• Deeply virtual Compton scattering at small-$x$ in future Electron - Ion Colliders
• On systematic effects in the numerical solutions of the JIMWLK equation
• Non-linear equation: energy conservation and impact parameter dependence
• Comparison of transverse single-spin asymmetries for forward ${\pi }^0$ production in polarized $pp$, $p\mathrm{Al}$ and $p\mathrm{Au}$ collisions at nucleon pair c.m. energy $\sqrt{s_{\mathrm{NN}}}=200$ GeV
• Heavy quark production at LHC in the color dipole formalism
• Impact Parameter Dependence in the Balitsky-Kovchegov Equation
• O(α_s^2)-corrections to JIMWLK evolution from the classical equations of motion
• CGC/saturation approach for soft interactions at high energy: survival probability of the central exclusive production
• QCD unitarity constraints on Reggeon Field Theory
• Langevin equation in effective theory of interacting QCD pomerons in the limit of large $N_c$
• A model for strong interactions at high energy based on the CGC/saturation approach
• Nuclear effects in Drell-Yan pair production in high-energy $pA$ collisions
• The dipole cross section by the unintegrated gluon distribution at small $x$
• The unintegrated gluon distribution from the GBW and BGK models
• How Pomerons Meet in Coloured Glass
• Small-x QCD effects in forward-jet and Mueller-Navelet jet production
• Quantitative Study of Different Forms of Geometrical Scaling in Deep Inelastic Scattering at HERA
• Quark production in high energy proton-nucleus collisions
• QCD resummation of dijet azimuthal decorrelations in pp and pA collisions
• Structure functions at small x from world-lines. I: Unpolarized distributions
• Forward Inclusive Jet Productions in pA Collisions
• The dimensionally reduced description of the high energy scattering and the effective action for the reggeized gluons
• QCD saturation in the dipole sector with correlations
• Exclusive photoproduction of vector meson at next-to-leading order from Color Glass Condensate
• Testing Non-linear Evolution with Running Coupling Corrections in $ep$ and $pp$ collisions
• Soft photon and two hard jets forward production in proton-nucleus collisions
• On perturbative limits of quadrupole evolution in QCD at high energy
• Baryon stopping in the Color Glass Condensate formalism: A phenomenological study
• High energy QCD: multiplicity dependence of quarkonia production
• Correlations in impact-parameter space in a hierarchical saturation model for QCD at high energy
• Triple- and Quadruple-Gluon Azimuthal Correlations from Glasma and Higher-Dimensional Ridges
• On the Wess-Zumino term in high energy QCD
• Parton Percolation and J/Psi Suppression
• Diffractive deep inelastic scattering in an AdS/CFT inspired model: A phenomenological study
• CGC/saturation approach for soft interactions at high energy: inclusive production
• Particle distribution in intense fields in a light-front Hamiltonian approach
• Collective Flow Global Collective Flow in Heavy Ion Reactions from the Beginnings to the Future
• Trijets in kt-factorisation: matrix elements vs parton shower
• Partial correlation analysis method in ultra-relativistic heavy-ion collisions
• Global analysis of polarized DIS & SIDIS data with improved small-$x$ helicity evolution
• Page Entropy of Proton System in Deep-Inelastic-Scattering at Small-$x$
• S-matrix and productions amplitudes in high energy QCD
• Forward-backward multiplicity correlations in relativistic heavy-ion collisions in a superposition approach
• Baryon Stopping in Proton-Nucleus Collisions
• CGC formalism with two sources
• Liouville field theory for gluon saturation in QCD at high energy
• QCD Saturation Equations including Dipole-Dipole Correlation
• Solution to the evolution equation at NLL for high parton density QCD
• Exclusive processes with a leading neutron in $ep$ collisions
• Measurement of inclusive very forward jet cross sections in proton-lead collisions at $\sqrt{s_{\mathrm{NN}}}=$ 5.02 TeV
• The ratio of the beauty structure functions $R^b=F_L^b/F_2^b$ at low x
• Predictions for net-proton and net-kaon distributions at LHC energies
• On correlations and discreteness in non-linear QCD evolution
• Lecture notes on "Quantum chromodynamics and statistical physics"
• CGC/saturation approach for soft interactions at high energy: a two channel model
• Dipole evolution: perspectives for collectivity and ${\gamma }^{\ast }$A collisions
• Uncovering the triple pomeron vertex from Wilson line formalism
• High energy asymptotic behavior of the $S$-matrix in the saturation region with the smallest dipole running coupling prescription
• Fully coherent energy loss effects on light hadron production in pA collisions
• JIMWLK Evolution, Lindblad Equation and Quantum-Classical Correspondence
• Hot and dense matter: from RHIC to LHC: Theoretical overview
• R-Current DIS on a Shock Wave: Beyond the Eikonal Approximation
• Total gluon shadowing due to fluctuation effects
• Cubic color charge correlator in a proton made of three quarks and a gluon
• Pressure Anisotropy in Heavy Ion Collisions from Color Glass Condensate
• Extended collinearly-improved Balitsky-Kovchegov evolution equation in target rapidity
• Unitarity Corrections to the Drell-Yan Process in the Target Rest Frame
• Perturbative QCD and beyond: azimuthal angle correlations in deuteron-deuteron scattering from Bose-Einstein correlations
• Geometrical scaling for energies available at the BNL Relativistic Heavy Ion Collider to those at the CERN Large Hadron Collider
• Particle production and AGK relations in the Color Glass Condensate picture
• On the rapidity dependence of the average transverse momentum in hadronic collisions
• Non-linear evolution in CCFM: The interplay between coherence and saturation
• Charged Hadron Multiplicity Distribution at Relativistic Heavy Ion Colliders
• Photons from thermalizing matter in heavy ion collisions
• Dipole model for double meson production in two-photon interactions at high energies
• Investigating F_L(x,Q2) at fixed energy in the color dipole formalism
• First Saturation Correction in High Energy Proton-Nucleus Collisions: I. Time evolution of classical Yang-Mills fields beyond leading order
• General formulae for dipole Wilson line correlators with the Color Glass Condensate
• Diffractive dissociation including pomeron loops in zero transverse dimensions
• Using dileptons to probe the Color Glass Condensate
• Incoherent diffractive dijet production in electron DIS off nuclei at high energy
• The JIMWLK evolution and the s-channel unitarity
• Testing the running coupling $k_T$-factorization formula for the inclusive gluon production
• Nonlinear dynamics of soft boson excitations in hot QCD plasma I: plasmon-plasmon scattering
• QCD motivated approach to soft interactions at high energy: inclusive production
• Directed flow in asymmetric nucleus-nucleus collisions and the inverse Landau-Pomeranchuk-Migdal effect
• CGC/saturation approach for high energy soft interactions: `soft' Pomeron structure and $v_n$ in hadron and nucleus collisions from Bose-Einstein correlation
• CGC/saturation approach for high energy soft interactions: ${\mathbf{v}}_2$ in proton-proton collisions
• Identified Particle Dependence of Nuclear Modification Factors in d+Au Collisions at RHIC
• Understanding the Particle Production Mechanism with Correlation Studies Using Long and Short Range Correlations
• Gluon Radiation from a classical point particle II: dense gluon fields
• Non-Gaussian Correlations in the McLerran-Venugopalan Model
• Running Coupling Corrections to Nonlinear Evolution for Diffractive Dissociation
• Travelling waves and impact-parameter correlations
• A phenomenological analysis of the nonperturbative QCD contributions for the photon wave function
• Universal Rise of Hadronic Total Cross Sections based on Forward pi p and pbarp(pp) Scatterings
• Deep Inelastic Scattering in the Exponentially Small Bjorken Parameter Regime from the Holographic Softwall Model
• What Have We Learned from RHIC?
• Ultra-forward particle production from CGC+Lund fragmentation
• Solution of the Fan Diagram Equation in 2+1 Dimensional QCD
• Nuclei in the toy world: beyond the Pomeron in zero transverse dimensions
• A simple model for the nuclear unintegrated gluon distribution
• Geometric Scaling in Mueller-Navelet Jets
• DPS in CGC: HBT correlations in double inclusive photon production
• The impact of glasma on heavy flavor azimuthal correlations and spectra
• Nonlinear dynamics of soft boson collective excitations in hot QCD plasma II: plasmon -- hard-particle scattering and energy losses
• Non linear evolution: revisiting the solution in the saturation region
• Saturation and forward jets at HERA
• Estimating non-linear QCD effects in ultrahigh energy neutrino events at IceCube
• Multiparticle azimuthal angular correlations in $pA$ collisions
• Quantum corrections to the Classical Statistical Approximation for the expanding quantum field
• The BFKL Pomeron Calculus in zero transverse dimensions: diffractive processes and survival probability for central diffractive production
• CGC/saturation approach: soft interaction at the LHC energies
• Wilson lines - color charge densities correlators and the production of eta' in the CGC for pp and pA collisions
• Stronger $C$-odd color charge correlations in the proton at higher energy
• Strongly Interacting Matter at High Energy Density
• Color Glass Condensate and its relation to HERA physics
• Evolution of initial stage fluctuations in the glasma
• Inclusive Gluon Production in the QCD Reggeon Field Theory: Pomeron Loops Included
• BFKL and CCFM evolutions with saturation boundary
• Classical model for diffusion and thermalization of heavy quarks in a hot medium: memory and out-of-equilibrium effects
• Initial state in relativistic nuclear collisions and Color Glass Condensate
• Gluon saturation and inclusive production at low transverse momenta
• The color dipole model bounds with the gluon-gluon recombination correction
• Baryon scattering at high energies: wave function, impact factor, and gluon radiation
• Violation of Geometrical Scaling in pp Collisions at NA61/SHINE
• Probing the Frontiers of QCD
• Probing the Color Glass Condensate in $pp$ collisions at forward rapidities and very low transverse momenta
• High-Energy QCD factorization from DIS to pA collisions
• On correlators of Reggeon fields and operators of Wilson lines in high energy QCD
• Gluon propagation in space-time dependent fields
• Soft interaction at high energy and N=4 SYM
• Test of Universal Rise of Hadronic Total Cross Sections based on pi p, Kp and pbar p,pp Scatterings
• Compatibility of phenomenological dipole cross sections with the Balitsky-Kovchegov equation
• Novel Cross Section Ratios as Possible Signals of Saturation in UPCs
• Direct quarkonium-plus-gluon production in DIS in the Color Glass Condensate
• Fluctuations of the gluon distribution from the small-x effective action
• Particle multiplicities at LHC and deviations from limiting fragmentation
• Unifying approaches: derivation of Balitsky hierarchy from the Lipatov effective action
• Geometric scaling behavior of the scattering amplitude for DIS with nuclei
• Exclusive processes in $ep$ collisions at the EIC and LHeC: A closer look on the predictions of saturation models
• Diffraction Production in a Soft Interaction Model: Mass Distributions
• Coherent and incoherent $J/\Psi$ photoproduction in $PbPb$ collisions at the LHC, HE -- LHC and FCC
• Semiclassical solution to the BFKL equation with massive gluons
• From EMC- and Cronin-effects to signals of quark-gluon plasma
• Gluon Saturation Effects at the Nuclear Surface: Inelastic Cross Section of Proton-Nucleus at Ultra High Energy Cosmic Ray domain
• D-instantons and multiparticle production in N=4 SYM
• Coherent and incoherent diffractive hadron production in pA collisions and gluon saturation
• On asymptotic solutions of RFT in zero transverse dimensions
• A CGC/saturation approach for angular correlations in proton-proton scattering
• Large $\mathbf{b}$ behaviour in the CGC/saturation approach: BFKL equation with pion loops
• J/ψ and ψ' production in proton(deuteron)-nucleus collisions: lessons from RHIC for the proton-lead LHC run
• Small-$x$ QCD evolution of $2n$ Wilson line correlator: the weak field limit
• Study of the behavior of nuclear modification factor in freeze-out state
• QCD motivated approach to soft interactions at high energies: nucleus-nucleus and hadron-nucleus collisions
• The small-x gluon distribution in centrality biased pA and pp collisions
• QCD at small x and nucleus-nucleus collisions
• Collective Phenomena in the Non-Equilibrium Quark-Gluon Plasma
• Forward trijet production in p-p and p-Pb collisions at LHC
• NLO JIMWLK evolution with massive quarks
• Asymptotics of QCD traveling waves with fluctuations and running coupling effects
• Small-x QCD studies with CMS at the LHC
• Introduction to the Physics of Saturation
• Rare fluctuations of the $S$-matrix at NLO in QCD
• Jet evolution in a dense QCD medium
• The BEST framework for the search for the QCD critical point and the chiral magnetic effect
• Time-Dependent Observables in Heavy Ion Collisions II: in Search of Pressure Isotropization in the ${\phi }^4$ Theory
• Diffractive $\rho$ production at small $x$ in future Electron - Ion Colliders
• Multibin correlations in a superposition approach to relativistic heavy-ion collisions
• Violation of the geometric scaling behaviour of the amplitude for running QCD coupling in the saturation region
• Testing universality of the Color Glass Condensate descriptions
• CGC, QCD Saturation and RHIC data (Kharzeev-Levin-McLerran-Nardi point of view)
• The Colour Glass Condensate
• Beyond DGLAP improved saturation model
• Exclusive vector meson productions with the analytical solution of Balitsky-Kovchegov Equation
• Rapidity and energy dependence of average transverse momentum and particle density in saturation models
• Tensor Meson Production in Proton-Proton Collisions from the Color Glass Condensate
• Non-linear evolution in the re-summed next-to-leading order of perturbative QCD:\confronting the experimental data
• Inclusive production in a QCD and N=4 SYM motivated model for soft interactions
• High energy scattering in Einstein-Cartan gravity
• Wigner-Weyl calculus in Keldysh technique
• On QCD RFT corrections to the propagator of reggeized gluons
• Long range rapidity correlations and the ridge in A+A collisions
• Enhancement of prompt photons in ultrarelativistic proton-proton collisions from nonlinear gluon evolution at small-$x$
• Gluon recombination in high parton density QCD: inclusive pion production
• Saturation and linear transport equation
• Renormalization Group Equation and QCD Coupling Constant in the Presence of SU(3) Chromo-Electric Field
• DIS and the effects of fluctuations: a momentum space analysis
• Saturation and Wilson Line Distributions
• Brief Review of Saturation Physics
• The Phase Diagram of QCD and Some Issues of Large Nc
• Spectrum of diffractively produced gluons in onium-nucleus collisions
• Dynamical behavior connection of the gluon distribution and the proton structure function at small $x$
• Hadronization of correlated gluon fields
• Gluon multiplicity in coherent diffraction of onium on a heavy nucleus
• Analytic solution of Balitsky-Kovchegov equation with running coupling constant using homogeneous balance method
• Quark TMDs from back-to-back dijet production at forward rapidities in pA collisions beyond eikonal accuracy in the CGC
• Isolated photon production in $pp$ collisions at forward rapidities and high multiplicity events
• On the odderon mechanism for transverse single spin asymmetry in the Wandzura-Wilczek approximation
• Pseudo and quasi gluon PDF in the BFKL approximation
• A unitarized model of inclusive and diffractive DIS with Q2-evolution
• The Status of Parton Saturation and the CGC
• AAMQS: a non-linear QCD description of new HERA data at small-x
• Nuclear shadowing in deep inelastic scattering on nuclei: a closer look
• QCD Evolution Workshop: Introduction
• Non-Abelian color fields from relativistic color charge configurations in the classical limit
• Probing gluon number fluctuation effects in future electron-hadron colliders
• Heavy Quark Production in Ultra High Energy Cosmic Ray Interactions
• Gauge invariant source terms in QCD
• Non-perturbative renormalization of the average color charge and multi-point correlators of color charge from a non-Gaussian small-$x$ action
• Fluctuations of topological charge and chiral density in the early stage of high energy nuclear collisions
• Solution to the Sudakov suppressed Balitsky-Kovchegov equation and its application to the HERA data
• Structure functions from renormalization group improved small $x$ evolution
• Parametrization of the nuclear structure function
• Complete calculation of exclusive heavy vector meson production at next-to-leading order in the dipole picture
• An analytical solution of Balitsky-Kovchegov equation using homotopy perturbation method
• Dipole-dipole scattering amplitude in CGC approach
• Sudakov effects and the dipole amplitude
• A parton shower generator based on the GLR equation
• Scattering from an external field in quantum chromodynamics at high energies: from foundations to interdisciplinary connections
• The two-loop Higgs impact factor
• Canonical Flow in the Space of Gauge Parameters
• Deriving the Jalilian-Marian-Iancu-McLerran-Weigert-Leonidov-Kovner equation with classical and quantum source terms
• Proton and anti-proton production in the forward region of d+Au collisions at RHIC from the color glass condensate
• Soft interactions at high energies: QCD motivated approach
• Longitudinal Rescaling and High-Energy Effective Actions
• Prediction for unintegrated parton distributions
• Probing Gluons in Nuclei: the Case of ${\eta }^{\prime }$
• Rapidity dependence of the photon to pion production ratio in high energy collisions
• Symplectic approach to lightcone QCD
• Probing QCD dynamics in two-photon interactions at high energies
• Chaos in the Color Glass Condensate
• Low-x QCD with CMS at the LHC
• Color Glass Condensate meets High Twist Expansion
• D meson production in d+Au process using a perturbative approach
• The Emerging QCD Frontier: The Electron Ion Collider
• Distribution of multiple scatterings in proton-nucleus collisions at high energy
• High density QCD and nucleus-nucleus scattering deeply in the saturation region
• Inside looking out: probing JIMWLK with BFKL calculations
• Heavy quark structure functions from unifying the color dipole picture and double asymptotic scaling approaches
• Taming of preasymptotic small x evolution within resummation framework
• Long range rapidity correlations in soft interaction at high energies
• Additional $J/\Psi$ Suppression from High Density Effects
• Next-to-Leading Order correction to inclusive particle spectra in the Color Glass Condensate framework
• Impact-parameter-dependent solutions to the Balitsky-Kovchegov equation at next-to-leading order
• Energy evolution of J/$\psi$ production in DIS on nuclei
• Exclusive $\rho$ and $J/\Psi$ photoproduction in ultraperipheral $pO$ and $OO$ collisions at energies available at the CERN Large Hadron Collider
• Infrared instability from nonlinear QCD evolution
• Exclusive vector meson production with leading neutrons in a saturation model for the dipole amplitude in mixed space
• Quarkonium production at collider energies in Small-$x$ formalism
• Saturation scale fluctuations and multi-particle rapidity correlations
• Double vector meson production in the International Linear Collider
• 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
• Gluon saturation: survival probability for leading neutrons in DIS
• A geometrizing higher twist effect on nuclear target
• Forward Hadron Productions in Proton-Proton Collisions in Small-$x$ Formalism
• Eikonal but not: a complementary view of high energy evolution
• CGC and saturation approach: Impact-parameter dependent model of perturbative QCD and combined HERA data
• JIMWLK evolution and small-x asymptotics of 2n-tuple Wilson line correlators
• Homotopy solution to non-linear evolution for heavy nuclei
• The energy dependence of exclusive heavy vector meson photoproduction cross-sections and NLO BFKL evolution
• The quark-gluon medium (micro- and macro-QCD)
• Soft processes at high energy without soft Pomeron: a QCD motivated model
• Thermal radiation and inclusive production in the running coupling $k_T$ -- factorization approach
• Soft Pomeron in the Colour Glass Condensate approach
• On the Nuclear Modification Factor at RHIC and LHC
• 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
• High-energy QCD evolution from BRST symmetry
• From the colour glass condensate to filamentation: Systematics of classical Yang-Mills theory
• Open and hidden charm production in pA collisions
• Sudakov Factor in the Deep Inelastic Scattering of a Current off a Large Nucleus
• Inclusive gauge boson production in the color dipole formalism
• Classical information entropy of parton distribution functions and an application in searching gluon saturation
• From Static Potentials to High-Energy Scattering
• The BFKL Pomeron calculus: summing enhanced diagrams
• Rapidity dependence of saturation in inclusive HERA data with the rcBK equation
• Impact of inclusive hadron production data on nuclear gluon PDFs
• Dijet impact factor in DIS at next-to-leading order in the Color Glass Condensate
• Callan-Symanzik equations and low-energy theorems with trace anomalies
• Anatomy of QCD Strings and Saturation Effects in High-Energy Scattering
• Evolution equation for elastic scattering of hadrons
• Non-linear evolution of unintegrated gluon density at large values of coupling constant
• Higher twists effects in DIS on nuclei at the EIC and LHeC: A phenomenological analysis
• Gluon saturation effects on J/Psi production in heavy ion collisions
• Non-Stationary Measurements of Chiral Magnetic Effect
• Ekpyrosis and inflationary dynamics in heavy ion collisions: the role of quantum fluctuations
• Twist decomposition of non-linear effects in Balitsky-Kovchegov evolution of proton structure functions
• Photoproduction of ${\eta }_c\gamma$ pairs in CGC framework
• Perturbative Corrections to Quark TMDPDFs in the Background-Field Method: Gauge Invariance, Equations of Motion, and Multiple Interactions
• Momentum space saturation model for deep inelastic scattering and single inclusive hadron production
• Effective Field Theory Factorization for Diffraction
• Parton model contributions as next-to-eikonal corrections to the dipole factorization of DIS and SIDIS at low $x_{Bj}$
• Average $p_t$ as a probe of high energy QCD dynamics
• Can $1/N_c$ corrections destroy the saturation of dipole densities?
• Event-by-event multiplicity fluctuations and correlations in ring-like and jet like events in ${}^{197}$Au-AgBr collisions at 11.6A GeV/c
• Mapping the internal structure of hadrons through color and spin effects
• Remarks on Diffractive Dissociation within JIMWLK Evolution at NLO
• SPIN Effects, QCD, and Jefferson Laboratory with 12 GeV electrons
• Azimuthal angle correlations in hadron-nucleus scattering: enhanced diagrams
• Photon Exchange in Nucleus-Nucleus Collisions
• Resummation of projectile-target multiple scatterings and parton saturation
• BFKL Pomeron calculus: nucleus-nucleus scattering
• The MV Model of the Color Glass Condensate for a Finite Number of Sources Including Coulomb Interactions
• Chiral dynamics and pion properties at finite temperature and isospin chemical potential
• Low-$x$ Physics in $pA$ Collisions and at the EIC
• Bulk quantities in nuclear collisions from running coupling $k_T$-factorization and hybrid simulations
• Diffractive hadron production in DIS off heavy nuclei and gluon saturation
• Statistical properties of partonic configurations and diffractive dissociation in high-energy electron-nucleus scattering
• High-energy factorization and evolution with improved kinematics
• Wave function derivation of the JIMWLK equation
• Structure of the medium formed in heavy ion collisions
• High density QCD at THERA
• Geometrical scaling of heavy-quark contributions in the low $x$ region
• Perturbative structure of two- and four-point functions of color charge in a non-Gaussian small-$x$ action
• On the low-x NLO evolution of 4 point colorless operators
• Two-Particle Correlations in Heavy-Light Ion Collisions
• Looking for quark saturation in proton and nuclei
• Exploring the DGLAP resummation in the JIMWLK Hamiltonian
• Color Glass Condensate and BFKL dynamics in deep inelastic scattering at small x
• Compact construction algorithms for the singlets of SU(N) over mixed tensor product spaces
• Semiholography for heavy ion collisions
• Investigation of proton structure function $F_2^p$ at HERA in light of an analytical solution to Balitsky-Kovchegov equation
• Spin-glass model of QCD near saturation
• Gluon imaging using azimuthal correlations in diffractive scattering at the Electron-Ion Collider
• Statistical fluctuations of correlators in the Color Glass Condensate
• Color dipole cross-section from unifying the color dipole picture and improved saturation models
• Probing Saturation Physics in the Real Compton Scattering at Ultraperipheral $pPb$ Collisions
• From Classical to Quantum Saturation in the Nuclear Gluon Distribution
• Direct photons in d+Au collisions at s_(NN)**(1/2)=200GeV with STAR
• A numerical implementation of the NLO DIS structure functions in the dipole picture
• From RHIC to EIC: Nuclear Structure Functions
• QCD theory overview
• Effects of heavy quarks in the dipole cross section with the KLN model
• Improving the solver for the Balitsky-Kovchegov evolution equation with Automatic Differentiation
• First correction to JIMWLK evolution from the classical equations of motion
• Color-glass condensate beyond the Gaussian approximation
• Markov Chain Mote Carlo solution of BK equation through Newton-Kantorovich method
• High Energy Collisions of Dense Hadrons in Quantum Chromodynamics : LHC Phenomenology and Universality of Parton Distributions
• Reconstruction of the Dipole Amplitude in the Dipole Picture as a mathematical Inverse Problem
• Glauber quark and gluon contributions to quark energy loss at next-to-leading order and next-to-leading twist
• Impact Factor for Exclusive Diffractive Dijet Production with NLO Accuracy
• Nonlinear corrections to the nuclear heavy flavor structure functions
• 3-D Glasma initial state from small-x evolution
• Probing gluon saturation via diffractive jets in ultra-peripheral nucleus-nucleus collisions
• Quantum coherent states in cosmology
• Photoproduction of three jets in the CGC: gluon TMDs and dilute limit
• Stationary Density Estimation of Itô Diffusions Using Deep Learning
• BFKL Pomeron calculus: solution to equations for nucleus-nucleus scattering in the saturation domain
• NNLO classical solution for Lipatov's effective action for reggeized gluons
• NLO exclusive diffractive processes with saturation
• Factorization of photon induced processes in ultra-peripheral heavy ion collisions
• Four-pomeron vertex
• Coherent energy loss effects in dihadron azimuthal angular correlations in Deep Inelastic Scattering at small $x$
• The Colored Glass Condensate and Extreme QCD
• Transverse Spin and Classical Gluon Fields: Combining Two Perspectives on Hadronic Structure
• A unified description of initial and final state interactions in heavy ion collisions
• A predictive phenomenological tool at small Bjorken-x
• Small x, Saturation and the High Energy Limit of QCD
• The High Density Effects in Heavy Quark Production at pA Colliders
• Dijet photoproduction at low $x$ at next-to-leading order and its back-to-back limit
• Color strings, pomeron shadowing and Color Glass Condensate
• Properties of inclusive hadron production in Deep Inelastic Scattering on heavy nuclei at low x
• Classical initial conditions in high energy nucleus-nucleus collisions
• Local one-dimensional reggeon model of the interaction of several pomerons
• High energy DVCS on a photon and related meson exclusive production
• Diffraction 2006: Theoretical Summary
• Invariant color calculus and generalized Balitsky-Kovchegov hierarchy
• Tunneling through Color Glass Condensate and True Black Disks
• Finite volume effects in the McLerran-Venugopalan initial condition for the JIMWLK equation
• Small-x, Diffraction and Vector Mesons
• Characterizing the initial conditions of heavy-ion collisions at the LHC with mean transverse momentum and anisotropic flow correlations
• Anisotropy effects on heavy quark dynamics in Gribov modified gluon plasma
• Entanglement, Trace Anomaly and Confinement in QCD