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