Green's Functions in the Color Field of a Large Nucleus

Abstract

We compute the Green's functions for scalars, fermions and vectors in the color field associated with the infinite momentum frame wavefunction of a large nucleus. Expectation values of this wavefunction can be computed by integrating over random orientations of the valence quark charge density. This relates the Green's functions to correlation functions of a two dimensional, ultraviolet finite, field theory. We show how one can compute the sea quark distribution functions, and explictly compute them in the kinematic range of transverse momenta, ${\alpha }_s^2{\mu }^2<<k_t^2<<{\mu }^2$, where ${\mu }^2$ is the average color charge squared per unit area. When $m_{quark}^2<<{\mu }^2\sim A^{1/3}$, the sea quark contribution to the infinite momentum frame wave function saturates at a value that is the same as that for massless sea quarks.

TPI-MINN-94-7/T, NUC-MINN-94-2/T,UMN-HEP-1242/T, LaTex, 21 pages

References in corpus (2)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum

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• The BFKL Pomeron Calculus in the dipole approach
• Diphoton production in high-energy p+A collisions
• Probing colored glass via $q\bar{q}$ photoproduction II: diffraction
• Heavy quarkonium in saturated environment of high-multiplicity pp collisions
• Prospects for quarkonium studies at the high-luminosity LHC
• The energy-momentum tensor at the earliest stage of relativistic heavy ion collisions
• Two-Gluon Production and Longitudinal Correlations in the Color Glass Condensate
• Inelastic processes in DIS and N=4 SYM
• $J/\psi$ production in hadron scattering: three-pomeron contribution
• Sudakov suppression of the Balitsky-Kovchegov kernel
• QCD Saturation and Photoproduction on Proton and Nuclei Targets
• Leptons from heavy-quark semileptonic decay in pA collisions within the CGC framework
• Momentum Kick Model Analysis of PHENIX Near-Side Ridge Data and Photon Jet
• How particles emerge from decaying classical fields in heavy ion collisions: towards a kinetic description of the Glasma
• Prompt photon production in proton collisions as a probe of parton scattering in high energy limit
• Correlation Functions and Cumulants in Elliptic Flow Analysis
• The Wigner Function of Produced Particles in String Fragmentation
• Geometric scaling in exclusive processes
• Electroproduction of heavy quarkonia: significance of dipole orientation
• Lensing Mechanism Meets Small-$x$ Physics: Single Transverse Spin Asymmetry in $p^{\uparrow }+p$ and $p^{\uparrow }+A$ Collisions
• Impact Parameter Dependence in the Balitsky-Kovchegov Equation
• Non-linear equation: energy conservation and impact parameter dependence
• Entropy production from chaoticity in Yang-Mills field theory with use of the Husimi function
• CGC/saturation approach for soft interactions at high energy: survival probability of the central exclusive production
• O(α_s^2)-corrections to JIMWLK evolution from the classical equations of motion
• Finite-size effects on small-$x$ evolution and saturation in proton and nuclear targets
• From the Dyson-Schwinger to the Transport Equation in the Background Field Gauge of QCD
• Decoupling of the leading contribution in the discrete BFKL Analysis of High-Precision HERA Data
• A model for strong interactions at high energy based on the CGC/saturation approach
• Small-x QCD effects in forward-jet and Mueller-Navelet jet production
• Quark production in high energy proton-nucleus collisions
• Has HERA reached a new QCD regime?
• Lattice Computations of Small-x Parton Distributions in a Model of Parton Densities in Very Large Nuclei
• Mutual boosting of the saturation scales in colliding nuclei
• How Pomerons Meet in Coloured Glass
• Thoughts on Non-Perturbative Thermalization and Jet Quenching in Heavy Ion Collisions
• QCD Odderon: non linear evolution in the leading twist
• Production mechanisms of open-heavy flavor mesons
• Structure functions at small x from world-lines. I: Unpolarized distributions
• On the momentum broadening of in-medium jet evolution using a light-front Hamiltonian approach
• Finite width effects on the azimuthal asymmetry in proton-nucleus collisions in the Color Glass Condensate
• Forward Inclusive Jet Productions in pA Collisions
• The SPS Heavy Ion Programme
• On the Wess-Zumino term in high energy QCD
• Studies of parton thermalization at RHIC
• CGC formalism with two sources
• High energy amplitude as an admixture of "soft" and "hard" Pomerons
• Heavy flavor angular correlations as a direct probe of the glasma
• Modified Kolmogorov Wave Turbulence in QCD matched onto "Bottom-up" Thermalization
• Baryon Stopping in Proton-Nucleus Collisions
• Thermalization of Color Gauge Fields in High Energy Heavy Ion Collisions
• CGC/saturation approach for soft interactions at high energy: inclusive production
• Triple- and Quadruple-Gluon Azimuthal Correlations from Glasma and Higher-Dimensional Ridges
• Parton Percolation and J/Psi Suppression
• Casimir dependence of transverse distribution of pairs produced from a strong constant chromo-electric background field
• High energy QCD: multiplicity dependence of quarkonia production
• On correlations and discreteness in non-linear QCD evolution
• On the longitudinal structure function in the dipole model
• Kinetic description of Bose-Einstein condensation with test particle simulations
• CGC/saturation approach for soft interactions at high energy: a two channel model
• R-Current DIS on a Shock Wave: Beyond the Eikonal Approximation
• Measurement of inclusive very forward jet cross sections in proton-lead collisions at $\sqrt{s_{\mathrm{NN}}}=$ 5.02 TeV
• Liouville field theory for gluon saturation in QCD at high energy
• Evolution of pressures and correlations in the Glasma produced in high energy nuclear collisions
• Turbulent meson condensation in quark deconfinement
• Evolution of particle density in high-energy pp collisions
• Anisotropic flow fluctuation as a possible signature of clustered nuclear geometry in O-O collisions at the Large Hadron Collider
• Nonlinear dynamics of soft fermion excitations in hot QCD plasma III: Soft-quark bremsstrahlung and energy losses
• Charged Hadron Multiplicity Distribution at Relativistic Heavy Ion Colliders
• Total gluon shadowing due to fluctuation effects
• Center of mass energy and system-size dependence of photon production at forward rapidity at RHIC
• Toward Initial Conditions of Conserved Charges Part I: Spatial Correlations of Quarks and Antiquarks
• Photons from thermalizing matter in heavy ion collisions
• Geometrical scaling for energies available at the BNL Relativistic Heavy Ion Collider to those at the CERN Large Hadron Collider
• Unitarity bound for gluon shadowing
• Thermal radiation and inclusive production in the KLN model for ion-ion collisions
• BFKL Pomeron: modeling confinement
• Ioffe Time in Double Logarithmic Approximation
• Unitarity Corrections to the Drell-Yan Process in the Target Rest Frame
• A relativistic parton cascade with radiation
• QCD motivated approach to soft interactions at high energy: inclusive production
• General formulae for dipole Wilson line correlators with the Color Glass Condensate
• A Study of Parton Energy Loss in Au+Au Collisions at RHIC using Transport Theory
• Gluon Saturation Effects in Exclusive Heavy Vector Meson Photoproduction
• Transverse Energy-Energy Correlators in the Color-Glass Condensate at the Electron-Ion Collider
• All orders Boltzmann collision term from the multiple scattering expansion of the self-energy
• Thermal radiation and inclusive production in the CGC/saturation approach at high energies
• NLO corrections to ultra-high energy neutrino-nucleon scattering, shadowing and small x
• Nonlinear dynamics of soft boson excitations in hot QCD plasma I: plasmon-plasmon scattering
• Proton-proton cross-sections: the interplay between density and radius
• CGC/saturation approach for high energy soft interactions: ${\mathbf{v}}_2$ in proton-proton collisions
• TMD parton showers for associated $\gamma$+jet production in electron-proton collisions at high energies
• CGC/saturation approach for high energy soft interactions: `soft' Pomeron structure and $v_n$ in hadron and nucleus collisions from Bose-Einstein correlation
• Non-Gaussian Correlations in the McLerran-Venugopalan Model
• Nonlinear dynamics of soft boson collective excitations in hot QCD plasma II: plasmon -- hard-particle scattering and energy losses
• Classical model for diffusion and thermalization of heavy quarks in a hot medium: memory and out-of-equilibrium effects
• Solution of the Fan Diagram Equation in 2+1 Dimensional QCD
• Non linear evolution: revisiting the solution in the saturation region
• CGC, Hydrodynamics, and the Parton Energy Loss
• Meson turbulence at quark deconfinement from AdS/CFT
• 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
• A simple model for the nuclear unintegrated gluon distribution
• Solution to the Balitsky-Kovchegov equation in the saturation domain
• Multiparticle azimuthal angular correlations in $pA$ collisions
• Evolution of initial stage fluctuations in the glasma
• Color-neutral heavy particle production in nucleus-nucleus collisions in the quasi-classical approximation
• The suppressions of dijet azimuthal correlations in the future EIC
• Enhanced Minijet Production in $A-A$ Collisions from Gluons with Large Transverse Momenta
• The impact of glasma on heavy flavor azimuthal correlations and spectra
• DPS in CGC: HBT correlations in double inclusive photon production
• Regularization of the Light-Cone Gauge Gluon Propagator Singularities Using Sub-Gauge Conditions
• Strongly Interacting Matter at High Energy Density
• Saturation and forward jets at HERA
• Color Glass Condensate and its relation to HERA physics
• Scaling Violations in the $Q^2$ Logarithmic Derivative of $F_2$
• Soft interaction at high energy and N=4 SYM
• Structure of chromomagnetic fields in the glasma
• Exclusive heavy quark-pair production in ultraperipheral collisions
• Direct quarkonium-plus-gluon production in DIS in the Color Glass Condensate
• Evolution equation for soft physics at high energy
• Gluon saturation and inclusive production at low transverse momenta
• Hydrodynamic afterburner for the CGC at RHIC
• Hadron-string cascade versus hydrodynamics in Cu+Cu collisions at $\sqrt{s_{NN}}=200$ GeV
• STAR's measurement of Long-range forward-backward multiplicity correlations as the signature of "dense partonic matter" in the Heavy Ion collisions at $\sqrt{s_{NN}}=$200 GeV.}
• Determination of the Parameters of a Color Neutral 3D Color Glass Condensate Model
• An exactly solvable limit of low energy QCD
• Transverse and longitudinal spin alignment from color fields in heavy ion collisions
• Violation of Geometrical Scaling in pp Collisions at NA61/SHINE
• Novel Cross Section Ratios as Possible Signals of Saturation in UPCs
• Complete Next-to-Leading Order Calculation of Single Inclusive ${\pi }^0$ Production in Forward Proton-Nucleus Collisions
• Scaling properties of direct photon yields in heavy ion collisions
• Diffusion of charm and beauty in the Glasma
• Unintegrated dipole gluon distribution at small transverse momentum
• Diffraction Production in a Soft Interaction Model: Mass Distributions
• Study of the behavior of nuclear modification factor in freeze-out state
• D-instantons and multiparticle production in N=4 SYM
• QCD motivated approach to soft interactions at high energies: nucleus-nucleus and hadron-nucleus collisions
• Is the colour-octet mechanism consistent with the double $J/\psi$ production measurement at B-factories?
• Coherent and incoherent diffractive hadron production in pA collisions and gluon saturation
• Nuclear and Quark Matter at High Temperature
• Large $\mathbf{b}$ behaviour in the CGC/saturation approach: BFKL equation with pion loops
• QCD at small x and nucleus-nucleus collisions
• Geometric scaling behavior of the scattering amplitude for DIS with nuclei
• A CGC/saturation approach for angular correlations in proton-proton scattering
• Collective Phenomena in the Non-Equilibrium Quark-Gluon Plasma
• Semiclassical solution to the BFKL equation with massive gluons
• The gluon condensation in hadron collisions
• Aspects of relativistic heavy-ion collisions
• Time-Dependent Observables in Heavy Ion Collisions I: Setting up the Formalism
• Axion-Polaritons in the Magnetic Dual Chiral Density Wave Phase of Dense QCD
• Energy conservation and scaling violations in particle production
• Higher Twist Corrections and Maxima for DIS on a Proton in the High Density QCD Region
• Jet evolution in a dense QCD medium
• Large impact parameter behaviour in the CGC/saturation approach: a new non-linear equation
• Testing the black disk limit in $pp$ collisions at very high energy
• CGC, QCD Saturation and RHIC data (Kharzeev-Levin-McLerran-Nardi point of view)
• The Colour Glass Condensate
• Time-Dependent Observables in Heavy Ion Collisions II: in Search of Pressure Isotropization in the ${\phi }^4$ Theory
• Violation of the geometric scaling behaviour of the amplitude for running QCD coupling in the saturation region
• Hadronization of correlated gluon fields
• Rapidity and energy dependence of average transverse momentum and particle density in saturation models
• Single diffractive production of open heavy flavor mesons
• Gluon recombination in high parton density QCD: inclusive pion production
• Thermalization of the world's smallest fluids: recent developments
• Spectrum of diffractively produced gluons in onium-nucleus collisions
• Non-linear evolution in the re-summed next-to-leading order of perturbative QCD:\confronting the experimental data
• (2+1)-Dimensional Yang-Mills Theory and Form Factor Perturbation Theory
• Fluctuations driven isotropization of the quark-gluon plasma in heavy ion collisions
• Colour strings vs. hard pomeron in perturbative QCD
• Gluon multiplicity in coherent diffraction of onium on a heavy nucleus
• Inclusive production in a QCD and N=4 SYM motivated model for soft interactions
• Quark and Gluon Production from a Boost-invariantly Expanding Color Electric Field
• Quarkonium Polarization in Medium from Open Quantum Systems and Chromomagnetic Correlators
• Probing the low-x structure of nuclear matter with diffractive hadron production in pA collisions
• Nonlinear diffusion of gluons
• Saturation and Wilson Line Distributions
• QCD and Nuclear Physics
• Global variables and correlations: Summary of the results presented at the Quark Matter 2012 conference
• Long Range Azimuthal Correlations of Multiple Gluons in Gluon Saturation Limit
• Shear viscosity of ultrarelativistic Boson systems in the presence of a Bose-Einstein condensate
• Gauge invariant source terms in QCD
• Photoproductions of dileptons, photons, and light vector mesons in p-p, p-Pb, and Pb-Pb collisions at Large Hadron Collider energies
• 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
• Non-linear equation in the re-summed next-to-leading order of perturbative QCD: the leading twist approximation
• Impact of Multiplicity Fluctuations on Entropy Scaling Across System Size
• Structure functions from renormalization group improved small $x$ evolution
• Dipole-dipole scattering amplitude in CGC approach
• Initial state effects in the Color Glass Condensate
• Evolution of eccentricities induced by geometrical and quantum fluctuations in proton-nucleus collisions
• Important experimental observables at RHIC
• The non-equilibrium attractor: Beyond hydrodynamics
• Forward Hadron Productions in high energy pp collisions from a Monte-Carlo generator for Color Glass Condensate
• Deriving the Jalilian-Marian-Iancu-McLerran-Weigert-Leonidov-Kovner equation with classical and quantum source terms
• Two parton shower background for associate W Higgs production
• Longitudinal Rescaling and High-Energy Effective Actions
• Initial conditions of heavy ion collisions and high energy factorization
• Heavy flavor production in pA collisions
• Non-Abelian color fields from relativistic color charge configurations in the classical limit
• Parton energy loss at strong coupling and the universal bound
• Color Glass Condensate meets High Twist Expansion
• Chaos in the Color Glass Condensate
• Multiplicity dependence of ${\chi }_c$ and ${\chi }_b$ meson production
• Next-to-Leading Order correction to inclusive particle spectra in the Color Glass Condensate framework
• Long range rapidity correlations in soft interaction at high energies
• On the behaviour of single scale hard small $x$ processes in QCD near the black disc limit
• High density QCD and nucleus-nucleus scattering deeply in the saturation region
• Infrared instability from nonlinear QCD evolution
• Saturation scale fluctuations and multi-particle rapidity correlations
• INFN What Next: Ultra-relativistic Heavy-Ion Collisions
• Energy evolution of J/$\psi$ production in DIS on nuclei
• Distribution of multiple scatterings in proton-nucleus collisions at high energy
• Strong interactions in air showers
• Large distance behaviour of light cone operator product in perturbative and nonperturbative QCD regimes
• D meson production in d+Au process using a perturbative approach
• Two-gluon rapidity correlations of strong colour field in $pp$, $pA$ and $AA$ collisions
• Classical approximation of the Boltzmann equation in high energy QCD
• Quarkonium production at collider energies in Small-$x$ formalism
• Near-integrability and confinement for high-energy hadron-hadron collisions
• Topological charge fluctuations in the Glasma
• Gluon saturation: survival probability for leading neutrons in DIS
• Scattering Amplitudes in High Energy QCD
• Homotopy solution to non-linear evolution for heavy nuclei
• Angular pattern of minijet transverse energy flow in hadron and nuclear collisions
• Testing the double-logarithm asymptotic gluon density in ultraperipheral heavy ion collisions at the Large Hadron Collider
• Detailed Measurements of Shower Properties in a High Granularity Digital Electromagnetic Calorimeter
• Strangeness production in high-multiplicity events
• On the solution of linearized (linear in S-matrix) Balitsky-Kovchegov equation
• ALICE detector upgrades
• Azimuthal angle correlations at large rapidities: revisiting density variation mechanism
• Inclusive cross-sections for jet production in nucleus-nucleus collisions in perturbative QCD
• On the Nuclear Modification Factor at RHIC and LHC
• Multiplicity and transverse energy of produced gluon in relativistic heavy ion collision
• Thermal radiation and inclusive production in the running coupling $k_T$ -- factorization approach
• On invariants for particle propagation in non-Abelian fields
• Soft Pomeron in the Colour Glass Condensate approach
• On the clustering properties of produced particles in high-energy $pp$ collisions
• Covariant Chiral Kinetic Equation in Non-Abelian Gauge field from "covariant gradient expansion"
• Forward Hadron Productions in Proton-Proton Collisions in Small-$x$ Formalism
• Tachyon dynamics of the black disc limit in the hard small $x$ processes in QCD
• Unequal rapidity correlators in the dilute limit of JIMWLK
• Saturation effects in pp scattering in the impact-parameter representation
• Longitudinal Rescaling of Quantum Electrodynamics
• Real-Time Evolution of Soft Gluon Field Dynamics in Ultra-Relativistic Heavy-Ion Collisions
• Determination of the initial condition for the Balitsky-Kovchegov equation with transformers
• Parton model contributions as next-to-eikonal corrections to the dipole factorization of DIS and SIDIS at low $x_{Bj}$
• Photoproduction of ${\eta }_c\gamma$ pairs in CGC framework
• Exploring origin of small x saturation in collinear approach
• Forward proton detectors in heavy ion physics
• Isotropization of a rotating and longitudinally expanding ${\varphi }^4$ scalar system
• Cumulant Expansion in Gluon Saturation, and Five and Six-Gluon Azimuthal Correlations
• Exclusive photoproduction of $B_c^{\pm }$ and bottomonia pairs
• Classical information entropy of parton distribution functions and an application in searching gluon saturation
• BFKL Pomeron calculus: nucleus-nucleus scattering
• The BFKL Pomeron calculus: summing enhanced diagrams
• BRAHMS results in the context of saturation and quantum evolution
• Event-by-Event Study of Space-Time Dynamics in Flux-Tube Fragmentation
• Effective Field Theory Factorization for Diffraction
• Dijet impact factor in DIS at next-to-leading order in the Color Glass Condensate
• Mapping the internal structure of hadrons through color and spin effects
• The model of particle production by strong external sources
• Electroproduction of $D$- and $B$-mesons in high-multiplicity $ep$ collisions
• Can $1/N_c$ corrections destroy the saturation of dipole densities?
• Validity of equivalent photon spectra and the photoproduction processes in p-p collisions
• Gluon saturation and baryon stopping in the SPS, RHIC and LHC energy regions
• Bulk quantities in nuclear collisions from running coupling $k_T$-factorization and hybrid simulations
• Low-x Physics
• Transverse spin polarization as a novel probe of medium-induced transverse-momentum-broadening effect
• CGC/saturation approach: re-visiting the problem of odd harmonics in angular correlations
• Increase with energy of parton transverse momenta in the fragmentation region in DIS and related phenomena
• What are we learning from RHIC?
• Homotopy approach for scattering amplitude for running QCD coupling
• Effects of heavy quarks in the dipole cross section with the KLN model
• A new parton model for the soft interactions at high energies
• Improving the solver for the Balitsky-Kovchegov evolution equation with Automatic Differentiation
• Structure of the medium formed in heavy ion collisions
• Perturbative structure of two- and four-point functions of color charge in a non-Gaussian small-$x$ action
• Perturbative Vacuum Wavefunctional for Gauge Theories in the Milne Space
• Gluon imaging using azimuthal correlations in diffractive scattering at the Electron-Ion Collider
• Quantum collisions of finite-size ultrarelativistic nuclei
• Spin-glass model of QCD near saturation
• The spin-flip amplitude in the impact-parameter representation
• Diffractive hadron production in DIS off heavy nuclei and gluon saturation
• First correction to JIMWLK evolution from the classical equations of motion
• High-energy factorization and evolution with improved kinematics
• GTMD model predictions for diffractive dijet production at EIC
• Probing topological order of QCD at Electron Ion Collider
• Elliptic Flow and Shear Viscosity of the Shattered Color Glass Condensate
• The gluon field of a fast moving nucleus and the effective langrangian for QCD at high energy
• Photons from the Color Glass Condensate in p+A collisions
• Baryon kinetic energy loss in the color flux tube model
• Photoproduction of three jets in the CGC: gluon TMDs and dilute limit
• BRAHMS Overview
• Transverse Spin and Classical Gluon Fields: Combining Two Perspectives on Hadronic Structure
• Properties of inclusive hadron production in Deep Inelastic Scattering on heavy nuclei at low x
• Finite volume effects in the McLerran-Venugopalan initial condition for the JIMWLK equation
• Exclusive photoproduction of heavy quarkonia pairs
• Elliptic flow of charm quarks produced in the early stage of pA collisions
• Kinetic equation for gluons at the early stage
• Dijet photoproduction at low $x$ at next-to-leading order and its back-to-back limit
• Correlations with fluctuating strings
• Probing gluon saturation via diffractive jets in ultra-peripheral nucleus-nucleus collisions
• Gluon saturation and pseudo-rapidity distributions of charged hadrons at RHIC energy regions
• Saturation Physics in Heavy Ion Collisions
• Quantum simulating multi-particle processes in high energy nuclear physics: dijet production and color (de)coherence
• Color-glass condensate beyond the Gaussian approximation
• The propagation of ultra-high energy tau leptons and neutrinos while skimming the Earth
• High Energy Collisions of Dense Hadrons in Quantum Chromodynamics : LHC Phenomenology and Universality of Parton Distributions
• Saturation in nuclei
• Pair Production in Non-Perturbative QCD