Wave Functions, Evolution Equations and Evolution Kernels from Light-Ray Operators of QCD
arXiv:hep-ph/9812448 · doi:10.1002/prop.2190420202
Abstract
The widely used nonperturbative wave functions and distribution functions of QCD are determined as matrix elements of light-ray operators. These operators appear as large momentum limit of nonlocal hadron operators or as summed up local operators in light-cone expansions. Nonforward one-particle matrix elements of such operators lead to new distribution amplitudes describing both hadrons simultaneously. These distribution functions depend besides other variables on two scaling variables. They are applied for the description of exclusive virtual Compton scattering in the Bjorken region near forward direction and the two meson production process. The evolution equations for these distribution amplitudes are derived on the basis of the renormalization group equation of the considered operators. This includes that also the evolution kernels follow from the anomalous dimensions of these operators. Relations between different evolution kernels (especially the Altarelli-Parisi and the Brodsky-Lepage) kernels are derived and explicitly checked for the existing two-loop calculations of QCD. Technical basis of these results are support and analytically properties of the anomalous dimensions of light-ray operators obtained with the help of the -representation of Green's functions.
RevTeX, 42 pages, 4 figures (LaTeX)
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- Current in the light-front Bethe-Salpeter formalism II: Applications
- The spin structure of the nucleon in light-cone quark models
- Target and Double Spin Asymmetries of Deeply Virtual Production with a Longitudinally Polarized Proton Target and CLAS
- Unitary constraints on Deeply Virtual Compton Scattering
- Mechanical structure of a spin-1 particle
- Power corrections of off-forward quark distributions and harmonic operators with definite twist
- Single--Spin Asymmetries in the Bethe--Heitler Process from QED Radiative Corrections
- Quark Wigner distribution of the pion meson in light-cone quark model
- Quasi-two-body decays in the perturbative QCD approach
- Twist-three cross-sections in deeply virtual Compton scattering
- Three-body decays in perturbative QCD approach
- Quarks vs. gluons in exclusive rho electroproduction
- Rosenbluth separation of the Electroproduction Cross Section off the Neutron
- Helicity-dependent generalized parton distributions and composite constituent quarks
- Dual parameterization and Abel transform tomography for twist-3 DVCS
- Prospects for quarkonium studies at the high-luminosity LHC
- , and -wave resonance contributions to decays in the perturbative QCD approach
- Transverse charge distributions of the nucleon and their Abel images
- Modeling Nucleon Generalized Parton Distributions
- Charge and longitudinal momentum distributions in transverse coordinate space
- Exclusive neutrino-production of a charmed vector meson and transversity gluon GPDs
- Twist-3 Generalized Parton Distribution for the Proton from Basis Light-Front Quantization
- Deep exclusive electroproduction of at high in the quark valence regime
- Nucleon Form Factors to Next-to-Leading Order with Light-Cone Sum Rules
- Real and Virtual Compton Scattering off the Nucleon
- Complex conjugate poles and parton distributions
- On the Scaling Violations of Diffractive Structure Functions: Operator Approach
- Towards a Pion Generalized Parton Distribution Model from Dyson-Schwinger Equations
- Next-to-leading order corrections to deeply virtual production of pseudoscalar mesons
- Parton distribution functions from nonlocal light-cone operators with definite twist
- Charged current electroproduction of a charmed meson at an electron-ion collider
- A Kinematically Complete Analysis of the CLAS data on the Proton Structure Function in a Regge-Dual model
- Generalised parton distributions of the pion in partially-quenched chiral perturbation theory
- Moments of nucleon spin-dependent generalized parton distributions
- Deeply virtual Compton scattering at small x
- Neutron contribution to nuclear DVCS asymmetries
- NLO corrections to the deeply virtual meson production revisited: impact on the extraction of generalized parton distributions
- Moments of Axial-Vector GPD from Lattice QCD: Quark Helicity, Orbital Angular Momentum, and Spin-Orbit Correlation
- Study of decays in the perturbative QCD approach
- Lepton-pair production in ultraperipheral collisions at AFTER@LHC
- Polynomiality of helicity off-forward distribution functions in the chiral quark-soliton model
- Has the E791 experiment measured the pion wave function profile ?
- Generalized parton distributions from the pseudo-distribution approach on the lattice
- Off-shell generalized parton distributions and form factors of the pion
- Nonforward Compton scattering in AdS/CFT correspondence
- Generalized parton distributions in spin-3/2 particles
- Solving the leading order evolution equation for GPDs
- ERBL and DGLAP kernels for transversity distributions. Two-loop calculations in covariant gauge
- Determination of generalized parton distributions through a simultaneous analysis of axial form factor and wide-angle Compton scattering data
- Artificial neural network modelling of generalised parton distributions
- Probing the partonic structure of pentaquarks in hard electroproduction
- Weak Deeply Virtual Compton Scattering
- Generalized Parton Distributions in Full Lattice QCD
- On the structure of the virtual Compton amplitude with additional final-state meson in the extended Bjorken region
- Resonant state in the quasi-two-body meson decays
- Impact of JLab data on the determination of GPDs at zero skewness and new insights from transition form factors
- High--Energy Photon--Hadron Scattering in Holographic QCD
- Hard Exclusive Electroproduction of Pairs
- Three-dimensional Imaging of Pion using Lattice QCD: Generalized Parton Distributions
- Generalized Parton Distributions from charged current meson production
- Measurement of Unpolarized and Polarized Cross Sections for Deeply Virtual Compton Scattering on the Proton at Jefferson Laboratory with CLAS
- Parametrization of GPDs from t-channel string exchange in AdS spaces
- Two-Meson Form Factors in Unitarized Chiral Perturbation Theory
- Generalized Parton Distributions and the Spin Structure of the Nucleon
- Skewed Parton Distributions and F_2^D at beta -> 1
- Status of DVMP, DVCS and GPDs
- GTMDs and the factorization of exclusive double Drell-Yan
- The skewed quark distribution of the pion at large momentum transfer
- -wave contributions to decays in perturbative QCD approach
- Ratios of helicity amplitudes for exclusive electroproduction on transversely polarized protons
- On Extraction of Twist-Two Compton Form Factors from DVCS Observables Through Harmonic Analysis
- First moments of nucleon generalized parton distributions in chiral perturbation theory at full one-loop order
- Higher-twist contributions to neutrino-production of pions
- Model study of generalized parton distributions with helicity flip
- Single-Transverse-Spin Asymmetries in Exclusive Photo-production of J/psi in Ultra-Peripheral Collisions in the Fixed-Target Mode at the LHC and in the Collider Mode at RHIC
- Soft Pion Emission in DVCS
- Diphoton Generalized Distribution Amplitudes
- Catching a glimpse of the parton structure of the bound proton
- String-based parametrization of nucleon GPDs at any skewness: a comparison to lattice QCD
- Nucleon structure from generalized parton distributions in lattice QCD
- Power corrections to quasi-distribution amplitudes of a heavy meson
- Moments and of the Wilson twist-two operators at three loops in the RI/SMOM scheme
- Effects of next-to-leading order DGLAP evolution on generalized parton distributions of the proton and deeply virtual Compton scattering at high energy
- The Light-Cone Fock Representation in QCD
- Hard exclusive neutrino production of a light meson
- Perturbative Renormalisation of the Second Moment of Generalised Parton Distributions
- Relativity and constituent quark structure in model calculations of parton distributions
- Pion pair production in annihilation
- Double deeply virtual Compton scattering with positron beams at SoLID
- Leading Twist Amplitudes for Exclusive Neutrino Interactions in the Deeply Virtual Limit
- Exclusive meson muoproduction on transversely polarised protons
- Quasi-two-body decays in the perturbative QCD factorization approach
- QCD evolution and skewedness effects in color dipole description of DVCS
- Determination of shear forces inside the proton
- Spin Density Matrix Elements in Exclusive Meson Muoproduction
- Polarization Transfer in Wide-Angle Compton Scattering and Single-Pion Photoproduction from the Proton
- Backward timelike Compton scattering to decipher the photon content of the nucleon
- NLO corrections to the twist-3 amplitude in DVCS on a nucleon in the Wandzura-Wilczek approximation: quark case
- The HERMES Recoil Detector
- Exploring twist-4 chiral-even GPDs in the light-front quark-diquark model
- Heavy quark expansion for heavy-light light-cone operators
- Structure of the Nucleon
- Twist-four gravitational form factor at NNLO QCD from trace anomaly constraints
- Exclusive electroproduction of pion pairs
- Gluon GPDs and Exclusive Photoproduction of a Quarkonium in Forward Region
- Timelike Compton scattering with a linearly polarized photon beam
- To understand the rare decay
- EpIC: novel Monte Carlo generator for exclusive processes
- Physics Opportunities at a Photon-Photon Collider
- QCD Factorization of Quasi Generalized Quark Distributions
- Modification of generalized vector form factors and transverse charge densities of the nucleon in nuclear matter
- Nucleon tensor form factors in a relativistic confined quark model
- DVCS via color dipoles: Nonperturbative effects
- Calculation of the cross section for the pion diffractive dissociation into two jets
- Exclusive electroproduction and the quark structure of the nucleon
- QCD factorizations in gamma* gamma* -> rho rho
- Theoretical description of deeply virtual Compton scattering off He
- Demystifying generalized parton distributions
- Exploring Baryon Resonances with Transition Generalized Parton Distributions: Status and Perspectives
- Heavy quarks in deeply virtual Compton scattering
- Heavy Meson Distribution Amplitudes of Definite Geometric Twist with Contribution of 3-Particle Distribution Amplitudes
- Inequalities for nucleon generalized parton distributions with helicity flip
- Parton interactions in the Bjorken limit of QCD
- High Energy Photon-Photon Collisions at a Linear Collider
- Generalized parton distributions of sea quark at zero skewness in the light-cone Model
- Global determination of two-meson distribution amplitudes from three-body decays in the perturbative QCD approach
- Accessing GPDs from experiment --- potential of a high-luminosity EIC ---
- Deeply Virtual Compton Scattering on Spin-1 Nuclei
- Bayesian-Wilson coefficients in lattice QCD computations of valence PDFs and GPDs
- On exotic hybrid meson production in gamma* gamma collisions
- Regularization dependence of pion generalised parton distributions
- Correlators with Yangian symmetry
- Generalized parton distributions and Deeply Virtual Compton Scattering in Color Glass Condensate model
- Exclusive photoproduction of lepton pairs at LHC
- Orbital structure of quarks inside the nucleon in the light-cone diquark model
- Sivers and Boer-Mulders TMDs of proton in a light-front quark-diquark model
- The dual parametrization for gluon GPDs
- Deeply Virtual Compton Scattering on nucleons and nuclei in generalized vector meson dominance model
- Resummation for Lattice QCD Calculation of Generalized Parton Distributions at Nonzero Skewness
- DDVCS on nucleons and nuclei
- A Journey of Seeking Pressure and Forces in the Nucleon
- Exclusive production at EIC of China within handbag approach
- -Meson wave functions from nonlocal light-cone operators with definite twist
- Study of transversity GPDs from pseudoscalar mesons production at EIC of China
- Leading twist nuclear shadowing, nuclear generalized parton distributions and nuclear DVCS at small x
- Skewed parton distributions and the scale dependence of the transverse size parameter
- Resonant contributions to three-body decays in the perturbative QCD approach
- Quark spin-orbit correlations in spin-0 and spin-1 mesons using the light-front quark model
- Kinematical higher-twist corrections in : Neutral meson production
- Large-N Summation of Chiral Logs for Generalized Parton Distributions
- Probing Nucleon Structure on the Lattice
- QCD Factorization of Quasi Generalized Gluon Distributions
- Timelike Compton scattering in ultraperipheral collisions
- Form factors of the nucleon by using the t dependence of parton distribution functions
- Unraveling sub-leading twist GTMDs of proton using LFQDM
- Impact of a positron beam at JLab on an unbiased determination of DVCS Compton Form Factors
- Spin-orbit correlation and spatial distributions for spin-0 hadrons
- Generalized parton distributions of resonance in a diquark spectator approach
- Probing the transversity spin structure of a nucleon in neutrino-production of a charmed meson
- Loop corrections to pion and kaon neutrinoproduction
- Twist-4 proton GTMDs in the light-front quark-diquark model
- One-Loop Helicity Amplitudes for Parton Level Virtual Compton Scattering
- Probing the nucleon at large momentum tramsfer
- Inverse Radon transform and the transverse-momentum dependent functions
- Transversity generalized parton distributions in spin-3/2 particles
- Incoherent deeply virtual Compton scattering off He
- Real Compton Scattering via Color Dipoles
- Mapping Parton Distributions of Hadrons with Lattice QCD
- Generalized parton distributions for dynamical equation models
- The effects of nuclear structure on generalized parton distributions of 3He
- QCD Sum Rules and Models for Generalized Parton Distributions
- Spin Observables in Transition-Distribution-Amplitude Studies
- Deeply Virtual Exclusive Processes and Generalized Parton Distributions
- Leading-order QED radiative corrections to timelike Compton scattering on the proton
- Insight into nucleon structure from generalized parton distributions
- NNLO anomalous dimension matrix for twist-two flavor-singlet operators
- Shadowing in Compton scattering on nuclei
- Medium modification of the nucleon mechanical properties: Abel tomography case
- Duality, analyticity and t dependence of generalized parton distributions
- Inclusive and "exclusive" cross sections in the regime of multiple parton collisions
- Spin and Polarization in High-Energy Hadron-Hadron and Lepton-Hadron Scattering
- A Conceptual Design Study of a Compact Photon Source (CPS) for Jefferson Lab
- Revealing transversity GPDs through the photoproduction of a photon and a meson
- Twist cut-off for scalar off-cone operators in q-space
- Beam Spin Asymmetry in Electroproduction of Pseudoscalar or Scalar Meson Production off the Scalar Target
- String-based axial and helicity-flip GPDs: a comparison to lattice QCD
- European Perspectives for Electron-Nucleon Scattering at the Luminosity Frontier
- Diffractive two-meson electroproduction with a nucleon and deuteron target
- Accessing Generalized Parton Distributions in Exclusive Photoproduction of a Pair with a Large Invariant Mass
- The twist-2 Compton operator and its hidden Wandzura-Wilczek and Callan-Gross relations
- Generalized parton distributions for the lowest-lying octet baryons
- Momentum Flow Mechanisms and Color-Lorentz Forces on Quarks in the Nucleon
- Dilepton production through timelike Compton scattering within the -factorization approach
- What can we learn from , and decays?
- Renormalisation of Composite Operators in Lattice Perturbation Theory with Clover Fermions: Non-forward Matrix Elements
- -violating observables in four-body decays
- DSE inspired model for the pion's valence dressed-quark GPD
- Understanding nucleon structure using lattice simulations
- Three body radiative decay in the PQCD approach
- Deciphering Twist-3 Chiral-Even GPDs in the Light-Front Quark-Diquark Model
- Study of deeply virtual Compton scattering at the future Electron-Ion Collider
- Deeply virtual Compton scattering on the neutron with positron beam
- Electromagnetic and gravitomagnetic structure and radii of nucleons
- An updated determination of the pion-photon transition form factor
- Generalized parton distributions of light nuclei
- Nucleon tomography. What can we do better today than Rutherford 100 years ago?
- Genuine twist-3 contributions to the generalized parton distributions from instantons
- Deep Virtual Compton Scattering and the Nucleon Generalized Parton Distributions
- Accessing Compton Form Factors at the Electron Ion Collider in China: An Impact study on
- Generalized Parton Distributions -- theoretical review --
- Beam-helicity asymmetry in associated electroproduction of real photons in the -resonance region
- -wave contributions to the decays
- Deeply virtual meson production on neutrons
- Twist-3 contribution to the amplitude in the Wandzura-Wilczek approximation
- Q Qbar g contribution to diffractive J/psi electroproduction
- Examining the structure functions of nucleons by introducing new Ansatz and their consequences on parton distribution functions in higher approximation
- Parton distribution functions from Lattice QCD
- Scaling violations and off-forward parton distributions: leading order and beyond
- Parametrizing Compton form factors with neural networks
- Construction of nonlocal light-cone operators with definite twist
- Exclusive hadronization in gamma* gamma -> pi pi
- Basis transformation properties of anomalous dimensions for hard exclusive processes
- Systematic description of hadron's response to non-local QCD probes: Froissart-Gribov projections in analysis of deeply virtual Compton scattering
- Nuclear effects in neutrinoproduction of pions
- GPDs from charged current meson production in experiments
- Pseudogauge ambiguity in the distributions of energy density, pressure, and shear force inside the nucleon
- On timelike Compton scattering at medium and high energies
- Generalized parton distributions of few body systems
- Momentum transfer dependence of the hadron GPDs and Compton form factors
- On Deeply Virtual Compton Scattering at next-to-leading order
- Violation of Positivity Bounds in Models of Generalized Parton Distributions
- Radiative corrections to deeply virtual Compton scattering
- Measuring the skewness dependency of Generalized Parton Distributions
- Quasi-two-body decays in the perturbative QCD approach
- Hadron Structure from Lattice QCD
- Revealing pion and kaon structure via generalised parton distributions
- Nucleon Form Factors from GPDs
- Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Unpolarized Quarks at Nonzero Skewness
- Transition Distribution Amplitudes for gamma* gamma collisions
- On matter and pressure distribution in nucleons
- Elastic meson production and Compton scattering
- Phenomenology of diphoton photoproduction at next-to-leading order
- Operator product expansion coefficient functions in terms of composite operators only. Nonsinglet case
- The kaon off-shell generalized parton distributions and transverse momentum dependent parton distributions
- Generalized Parton Distributions and Transversity in Nucleons and Nuclei
- Effective Field Theory Factorization for Diffraction
- Hard exclusive reactions and hadron structure
- GPDs of hadrons and elastic pion-nucleon scattering
- Energy-momentum tensor form factor D(t) of proton and neutron
- Soft-photon radiative corrections to the process
- Generalized Parton Distributions of Pions. Spin Structure of Hadrons
- Exclusive two -mesons production in collision
- OPE coefficient functions in terms of composite operators only. Singlet case
- Hard exclusive processes and higher-order QCD corrections
- Generalized parton distributions from neutrino experiments: twist-three effects
- Revisiting evolution equations for generalised parton distributions
- Non-diagonal DVCS and transition GPDs: A unified framework for spinless hadron case
- Modeling the pion Generalized Parton Distribution
- Generalized perton distributions: analysis and applications
- The DVCS Measurement at HERA
- Onset of color transparency in holographic light-front QCD
- Reconstruction of Gravitational Form Factors using Generative Machine Learning
- Rapidity-Dependent Spin Decomposition of the Nucleon
- Energy-momentum tensor form factors and spin density distribution in the nucleon calculated in a quantized Skyrme model with vector mesons
- Parametrization of zero-skewness unpolarized GPDs
- Nucleon generalized form factors from lattice QCD with nearly physical quark masses
- Skewed Parton Distributions
- Energy-momentum tensor of the nucleon on the light front: Abel tomography case
- Analysis of virtual meson production in solvable (1+1) dimensional scalar field theory
- A Unified Neural-Network Framework for Nucleon Imaging from Numerical Simulations of QCD
- Applications of QCD
- Generalized parton distributions of hadrons with composite constituents
- Generalized Distribution Amplitudes at the pole
- Gluon imaging using azimuthal correlations in diffractive scattering at the Electron-Ion Collider
- Representation of the virtual Compton amplitude for polarized scattering in the generalized Bjorken region
- Inverse Radon transform at work
- Neutron DVCS Measurements with BONuS12 in CLAS12
- Three--Dimensional parton structure of light nuclei
- Momentum transfer dependence of gpds
- Generalised Parton Distributions: A Dyson-Schwinger approach for the pion
- Deeply virtual Compton scattering using a positron beam in Hall-C at Jefferson Lab
- Exclusive production of pentaquarks in the scaling regime
- Light-Front QCD Hamiltonian Dynamics and Constituent Quark Picture in Exclusive Processes
- Generalized parton distributions from meson leptoproduction
- Exclusive photoproduction of heavy quarkonia pairs
- Spin and other aspects of generalized parton distributions
- Exclusive two-photon annihilation at large energy or large virtuality
- Electroproduction of Vector Mesons
- Assessing the impact of the electron ion collider in China on Deeply Virtual Compton Scattering
- Generelized parton distributions and the structure of the hadrons
- Accessing baryon-antibaryon generalized distribution amplitudes in
- Conformal moments of the two-loop coefficient functions in DVCS
- Generalized parton distributions of 3He and the neutron orbital structure
- Analytic Evolution of Singular Distribution Amplitudes in QCD
- Are there significant scalar resonances in decays?
- Electromagnetic and gravitomagnetic structure of pions and pion-nucleon scattering
- Nucleon structure and spin effects in elastic hadron scattering
- Deeply virtual Compton scattering off the neutron
- Coherent deeply virtual Compton scattering off 3He and neutron generalized parton distributions
- Light-Front Dynamics and Generalized Parton Distributions
- Production of heavy meson pairs in collisions within a double handbag approach
- Contributions of and in the charmed three-body meson decays
- Deeply Virtual Compton Scattering at HERA
- Hard exclusive and semi-exclusive meson production
- Nucleon Structure from Lattice QCD
- Transverse Target Spin asymmetries in exclusive muoproduction
- Nuclear effects and neutron structure in deeply virtual Compton scattering off 3He
- An algebraic model for the pion's valence-quark GPD
- Spin Physics at COMPASS
- On the equivalence of GPD representations
- Spin effects in hard exclusive electroproduction of mesons
- QCD Factorizations in Exclusive gamma* gamma* -> rho0_L rho0_L
- Resonance contributions from in the charmless three-body hadronic meson decays
- New framework for extracting GPDs from exclusive photon electroproduction
- Hard exclusive processes with photons
- Pion's valence-quark GPD and its extension beyond DGLAP region
- Covariance constraints for light front wave functions
- Ground state pseudoscalar mesons on the light front: from the light to heavy sector
- Deep Exclusive Scattering and Generalized Parton Distributions : Experimental Review
- QED Radiative Processes in Deep Inelastic Scattering at HERA
- Parton promenade into the nucleon