Quark Imaging in the Proton Via Quantum Phase-Space Distributions

Abstract

We develop the concept of quantum phase-space (Wigner) distributions for quarks and gluons in the proton. To appreciate their physical content, we analyze the contraints from special relativity on the interpretation of elastic form factors, and examine the physics of the Feynman parton distributions in the proton's rest frame. We relate the quark Wigner functions to the transverse-momentum dependent parton distributions and generalized parton distributions, emphasizing the physical role of the skewness parameter. We show that the Wigner functions allow to visualize quantum quarks and gluons using the language of the classical phase space. We present two examples of the quark Wigner distributions and point out some model-independent features.

20 pages with 3 fitures

References in corpus (20)

• Leading-twist Single-transverse-spin asymmetries: Drell-Yan and Deep-Inelastic Scattering
• Hard Exclusive Reactions and the Structure of Hadrons
• Final-State Interactions and Single-Spin Asymmetries in Semi-Inclusive Deep Inelastic Scattering
• Impact Parameter Space Interpretation for Generalized Parton Distributions
• Final state interactions and gauge invariant parton distributions
• Theory of deeply virtual Compton scattering on the nucleon
• Generalized parton distributions in impact parameter space
• Parton Distributions in Light-Cone Gauge: Where Are the Final-State Interactions?
• Femto-Photography of Protons to Nuclei with Deeply Virtual Compton Scattering
• Moments of Nucleon Generalized Parton Distributions in Lattice QCD
• Viewing the Proton Through "Color"-Filters
• Generalized Parton Distributions from Lattice QCD
• Nucleon Charge and Magnetization Densities from Sachs Form Factors
• What exactly is a parton density?
• Linking generalized parton distributions to constituent quark models
• Positivity bounds on generalized parton distributions in impact parameter representation
• Polynomiality of unpolarized off-forward distribution functions and the D-term in the chiral quark-soliton model
• Nucleon hologram with exclusive leptoproduction
• A Lattice Study of the Magnetic Moment and the Spin Structure of the Nucleon
• A detailed QCD analysis of twist-3 effects in DVCS observables

Cited by in corpus (192)

• Unraveling hadron structure with generalized parton distributions
• Parton Physics on Euclidean Lattice
• QCD and strongly coupled gauge theories: challenges and perspectives
• Physics Opportunities with the 12 GeV Upgrade at Jefferson Lab
• Electromagnetic excitation of the Delta(1232)-resonance
• Explanation and Prediction of Observables using Continuum Strong QCD
• Nucleon Form Factors from Generalized Parton Distributions
• Transverse-momentum distributions in a diquark spectator model
• Generalized parton correlation functions for a spin-1/2 hadron
• Large-Momentum Effective Theory
• The Large Hadron-Electron Collider at the HL-LHC
• Quark Wigner Distributions and Orbital Angular Momentum
• Generalized parton distributions from nucleon form factor data
• Generalized Parton Distributions in the valence region from Deeply Virtual Compton Scattering
• 50 Years of Quantum Chromodynamics
• Deeply virtual Compton scattering at small x_B and the access to the GPD H
• Scaling Tests of the Cross Section for Deeply Virtual Compton Scattering
• Nucleon Form Factors in QCD
• Electron Ion Collider: The Next QCD Frontier - Understanding the glue that binds us all
• Theoretical considerations on multiparton interactions in QCD
• The quark orbital angular momentum from Wigner distributions and light-cone wave functions
• Probing the Small-$x$ Gluon Tomography in Correlated Hard Diffractive Dijet Production in DIS
• Transverse Deformation of Parton Distributions and Transversity Decomposition of Angular Momentum
• Revealing proton shape fluctuations with incoherent diffraction at high energy
• Spin densities in the transverse plane and generalized transversity distributions
• Towards a fitting procedure for deeply virtual Compton scattering at next-to-leading order and beyond
• Generalized parton correlation functions for a spin-0 hadron
• Hadron tomography by generalized distribution amplitudes in pion-pair production process ${\gamma }^{\ast }\gamma \to {\pi }^0{\pi }^0$ and gravitational form factors for pion
• Proton Spin Structure from Measurable Parton Distributions
• The proton charge radius
• Exclusive photoproduction of a heavy vector meson in QCD
• Next-to-eikonal corrections in the CGC: gluon production and spin asymmetries in pA collisions
• Defining the Proton Radius: a Unified Treatment
• Measurement of Deeply Virtual Compton Scattering with a Polarized Proton Target
• Introduction to GPDs and TMDs
• Generalized parton distributions of the pion in chiral quark models and their QCD evolution
• Gluon orbital angular momentum at small-$x$
• Deeply inelastic scattering structure functions on a hybrid quantum computer
• The smallest fluid on earth
• Parton Orbital Angular Momentum and Final State Interactions
• Accessing the gluon Wigner distribution in ultraperipheral $pA$ collisions
• Diffractive Dijet Production and Wigner Distributions from the Color Glass Condensate
• Generalized TMDs and the exclusive double Drell-Yan process
• Wilson lines and orbital angular momentum
• Twist-2 Generalized TMDs and the Spin/Orbital Structure of the Nucleon
• Geometrical approach to the proton spin decomposition
• Lepton Pair Production Through Two Photon Process in Heavy Ion Collisions
• The Present and Future of QCD
• Quark Wigner Distributions and Orbital Angular Momentum in Light-front Dressed Quark Model
• Probing Parton Orbital Angular Momentum in Longitudinally Polarized Nucleon
• Hadron Optics in Three-Dimensional Invariant Coordinate Space from Deeply Virtual Compton Scattering
• Probing the Weizsäcker-Williams gluon Wigner distribution in pp collisions
• Hunting the Gluon Orbital Angular Momentum at the Electron-Ion Collider
• Nucleon tensor charges and electric dipole moments
• The elliptic gluon GTMD inside a large nucleus
• Diffractive dijet production in impact parameter dependent saturation models
• Hadron Optics: Diffraction Patterns in Deeply Virtual Compton Scattering
• Low $x$ physics as an infinite twist (G)TMD framework: unravelling the origins of saturation
• Accessing proton generalized parton distributions and pion distribution amplitudes with the exclusive pion-induced Drell-Yan process at J-PARC
• Wigner, Husimi and GTMD distributions in the Color Glass Condensate
• Light Cone Sum Rules for gamma* N -> Delta Transition Form Factors
• Refined analysis of photon leptoproduction off spinless target
• Proper definition and evolution of generalized transverse momentum distributions
• Classical and quantum entropy of parton distributions
• Quark Wigner distributions in a light-cone spectator model
• Constructing phase space distributions with internal symmetries
• The generalized parton distribution functions and the nucleon spin sum rules in the chiral quark soliton model
• Final state interactions and the transverse structure of the pion using non-perturbative eikonal methods
• The Parton Orbital Angular Momentum: Status and Prospects
• Leading Chiral Corrections to the Nucleon Generalized Parton Distributions
• The relativistic center of mass in field theory with spin
• Wigner distributions and orbital angular momentum of a proton
• Chiral perturbation theory for nucleon generalized parton distributions
• Transverse spin effects in hard semi-inclusive collisions
• Electroproduction of the N*(1535) resonance at large momentum transfer
• Modelling the nucleon structure
• Nucleon Form Factors - A Jefferson Lab Perspective
• Generalized parton distributions through universal moment parameterization: zero skewness case
• Signature of the gluon orbital angular momentum
• Proton tensor charges from a Poincaré-covariant Faddeev equation
• Nuclear Medium Modifications of Hadrons from Generalized Parton Distributions
• Quark Wigner distributions and spin-spin correlations
• Deeply virtual Compton scattering on a virtual pion target
• Orbital Angular Momentum at Small $x$
• Transverse Momentum Dependent Parton Distribution/Fragmentation Functions at an Electron-Ion Collider
• Color charge correlations in the proton at NLO: beyond geometry based intuition
• Transverse momentum distributions of quarks in the nucleon from the Chiral Quark Soliton Model
• Semi-inclusive Diffractive Deep Inelastic Scattering at Small-$x$
• Where do we stand with a 3-D picture of the proton?
• Chiral odd GPDs in transverse and longitudinal impact parameter spaces
• Nucleon parton distributions in a light-front quark model
• Multipole decomposition of the nucleon transverse phase space
• Generalized Parton Distributions of Pion for Non-Zero Skewness in AdS/QCD
• Non-Universality of Transverse Momentum Dependent Parton Distributions at Small-x
• Transverse Spin Structure of the Nucleon
• Hanbury-Brown-Twiss measurements at large rapidity separations, or can we measure the proton radius in p-A collisions?
• Quark Wigner Distributions Using Light-Front Wave Functions
• DPS in CGC: Double Quark Production and Effects of Quantum Statistics
• Dissipative transport in superlattices within the Wigner function formalism
• Anomalous Magnetic Moments and Quark Orbital Angular Momentum
• Beam-spin asymmetries from semi-inclusive pion electroproduction
• Deep Inelastic Pion Electroproduction at Threshold
• Generalized parton distributions at zero skewness
• Generalized Parton Distributions for the Proton in Position Space : Non-Zero Skewness
• Wigner Distributions For Gluons
• Holographic Wave Functions, Meromorphization and Counting Rules
• Statistical Physics and Light-Front Quantization
• Use of the Husimi distribution for nucleon tomography
• Generalized Parton Distributions and Color Transparency
• Nucleon relativistic polarization and magnetization distributions
• Applications of Neural Networks in Hadron Physics
• Probing the gluon tomography in photoproduction of di-pions
• Directed flow from C-odd gluon correlations at small $x$
• 3-D structure of the Glasma initial state -- Breaking boost-invariance by collisions of extended shock waves in classical Yang-Mills theory
• Higher-Order Kinematical Effects in Deeply Virtual Compton Scattering
• Advances in diffraction of subnuclear waves
• Sivers and Boer-Mulders GTMDs in Light-front Holographic Quark-diquark Model
• QCD Resummation in Hard Diffractive Dijet Production at the Electron-Ion Collider
• Beam charge asymmetries for deeply virtual Compton scattering off the proton
• Generalized parton distributions from form factors
• Electron Structure: Shape, Size and GPDs in QED
• Initial and Final State Interaction Effects in Small-x Quark Distributions
• Quark Wigner distribution of the pion meson in light-cone quark model
• Study of kaon structure using the light-cone quark model
• Counting and Tensorial Properties of Twist-Two Helicity-Flip Nucleon Form Factors
• Twist-three cross-sections in deeply virtual Compton scattering
• Phase-space distributions of nuclear short-range correlations
• Prospects for quarkonium studies at the high-luminosity LHC
• Parton Distributions in Impact Parameter Space
• Minkowski's lost legacy and hadron electromagnetism
• A journey into the proton structure: Progresses and challenges
• Quark Wigner Distributions and GTMDs of Pion in the Light-Front Holographic Model
• Several Topics on Transverse Momentum-Dependent Fragmentation Functions
• Structure functions at small x from world-lines. I: Unpolarized distributions
• Determination of generalized parton distributions through a simultaneous analysis of axial form factor and wide-angle Compton scattering data
• Impact of JLab data on the determination of GPDs at zero skewness and new insights from transition form factors $N\to \Delta$
• GTMDs and the factorization of exclusive double Drell-Yan
• Inclusive Single-Spin Asymmetries, Quark-Photon, and Quark-Quark Correlations
• Transverse Force on Quarks in DIS
• On Extraction of Twist-Two Compton Form Factors from DVCS Observables Through Harmonic Analysis
• Gravitational transverse-momentum distributions
• Generalized Parton Distributions of the Proton in Position Space : Zero Skewness
• The HERMES Recoil Detector
• Matching generalised transverse-momentum-dependent distributions onto generalised parton distributions at one loop
• DPS in CGC: HBT correlations in double inclusive photon production
• Nucleon tensor form factors in a relativistic confined quark model
• Exclusive heavy quark-pair production in ultraperipheral collisions
• Toward hybrid quantum simulations with qubits and qumodes on trapped-ion platforms
• Proton spin after 30 years: what we know and what we don't?
• Factorization and transverse phase-space parton distributions
• Wigner distributions and GTMDs in a proton using light-front quark-diquark model
• Form factors of the nucleon by using the t dependence of parton distribution functions
• Wigner distributions and quark orbital angular momentum
• Unraveling sub-leading twist GTMDs of proton using LFQDM
• Husimi distribution for nucleon tomography
• Twist-4 proton GTMDs in the light-front quark-diquark model
• Probing proton structure with $c\bar{c}$ correlations in ultraperipheral $pA$ collisions
• Duality, analyticity and t dependence of generalized parton distributions
• Gluon generalized transverse momentum dependent parton distributions and Wigner functions of the Proton
• Six-dimensional light-front Wigner distribution of hadrons
• SIDIS-RC EvGen: a Monte-Carlo event generator of semi-inclusive deep inelastic scattering with the lowest-order QED radiative corrections
• Six-dimensional light-front Wigner distributions of the proton
• Skyrmions coupled with the electromagnetic field via the gauged Wess-Zumino term
• Deep Virtual Compton Scattering and the Nucleon Generalized Parton Distributions
• Final State Interactions and the Transverse Structure of the Pion
• Mapping the transverse spin sum rule in position space
• An x-Space Analysis of Evolution Equations: Soffer's Inequality and the Non-forward Evolution
• On convergence properties of GPD expansion through Mellin/conformal moments and orthogonal polynomials
• The 3D entangled structure of the proton; transverse degrees of freedom in QCD, momenta, spins and more
• Low-$x$ Physics in $pA$ Collisions and at the EIC
• Generalized Parton Distributions and Transversity in Nucleons and Nuclei
• Mass sum rules of the electron in quantum electrodynamics
• SPIN Effects, QCD, and Jefferson Laboratory with 12 GeV electrons
• Mapping the internal structure of hadrons through color and spin effects
• Nucleon Form Factors from GPDs
• The Description of Spatial Characteristics of Elastic Processes in the Wigner Function Formalism
• Quark Orbital Angular Momentum and Final State Interactions
• Why we need an Electron-Ion Collider
• Gluon imaging using azimuthal correlations in diffractive scattering at the Electron-Ion Collider
• The Forward Physics Facility at the High-Luminosity LHC
• GTMD model predictions for diffractive dijet production at EIC
• Wigner distributions of quarks for different polarizations
• The Jlab Upgrade - Studies of the Nucleon with CLAS12
• Mechanical properties of proton in the momentum space
• Light-front transverse charge densities
• JLab: Probing Hadronic Physics with Electrons and Photons
• Unpolarized nucleon structure studies utilizing polarized electromagnetic probes
• Summary of Spin Physics Parallel Sessions
• Proton Structure and PHENIX Experiment
• Positrons at JLab - Advancing Nuclear Science in Hall B
• T-odd Wigner Distributions in boost-invariant longitudinal position space and Spin-momentum correlation in proton
• Hydrodynamic Initial Conditions in Small Systems from Proton Phase-Space Entropy