Gluon Generalized TMDs and Wigner Distributions in boost invariant longitudinal space

Abstract

We present the gluon generalized TMDs for non-zero skewness and Wigner distributions in the boost invariant longitudinal space. The boost-invariant longitudinal space is defined as $\sigma =\frac{1}{2}{b}^{-}{\Delta }^{+}$ and is conjugate to the skewness variable $\xi$. We use the dressed quark model, where a high-energetic quark is dressed by a gluon. This two-particle system has the advantage of addressing both the gluon and the quark sectors. The different contributions in Wigner distributions coming from different polarization of gluon and the dressed quark system are investigated. The Wigner distributions are obtained by taking the Fourier transformation of generalized TMDs, which we derive for the first time for non-zero skewness in dressed quark model.

References in corpus (56)

• Generalized Parton Distributions
• Deeply Virtual Compton Scattering
• Unraveling hadron structure with generalized parton distributions
• Hard Exclusive Reactions and the Structure of Hadrons
• Final-State Interactions and Single-Spin Asymmetries in Semi-Inclusive Deep Inelastic Scattering
• The complete tree-level result up to order $1/Q$ for polarized deep-inelastic leptoproduction
• Impact Parameter Space Interpretation for Generalized Parton Distributions
• Transverse Polarisation of Quarks in Hadrons
• The angular momentum controversy: What's it all about and does it matter?
• Generalized parton distributions in impact parameter space
• Transverse momentum dependence in gluon distribution and fragmentation functions
• Generalized parton correlation functions for a spin-1/2 hadron
• Light-Cone Wavefunction Representation of Deeply Virtual Compton Scattering
• Quark Wigner Distributions and Orbital Angular Momentum
• Femto-Photography of Protons to Nuclei with Deeply Virtual Compton Scattering
• Measuring Gaussian quantum information and correlations using the Renyi entropy of order 2
• Viewing the Proton Through "Color"-Filters
• The quark orbital angular momentum from Wigner distributions and light-cone wave functions
• Structure analysis of the generalized correlator of quark and gluon for a spin-1/2 target
• Transverse-momentum-dependent gluon distribution functions in a spectator model
• On Orbital Angular Momentum in Deep Inelastic Scattering
• Generalized TMDs and the exclusive double Drell-Yan process
• Quark Wigner Distributions and Orbital Angular Momentum in Light-front Dressed Quark Model
• Hadron Optics in Three-Dimensional Invariant Coordinate Space from Deeply Virtual Compton Scattering
• Single diffractive hard exclusive processes for the study of generalized parton distributions
• The elliptic gluon GTMD inside a large nucleus
• Hadron Optics: Diffraction Patterns in Deeply Virtual Compton Scattering
• Chiral-odd generalized parton distributions for proton in a light-front quark-diquark model
• Exclusive production of a pair of high transverse momentum photons in pion-nucleon collisions for extracting generalized parton distributions
• Wigner Distributions for Gluons in Light-front Dressed Quark Model
• Quark Wigner distributions in a light-cone spectator model
• Wigner distributions and orbital angular momentum of a proton
• Quark Wigner distributions and spin-spin correlations
• Unveiling the Proton Spin Decomposition at a Future Electron-Ion Collider
• Generalized Parton Distributions of Pion for Non-Zero Skewness in AdS/QCD
• Gluon distributions in the proton in a light-front spectator model
• Quark Wigner Distributions Using Light-Front Wave Functions
• Generalized Parton Distributions in the Impact Parameter Space with Non-zero Skewedness
• Extraction of the Parton Momentum-Fraction Dependence of Generalized Parton Distributions from Exclusive Photoproduction
• Generalized Parton Distributions for the Proton in Position Space : Non-Zero Skewness
• Wigner Distributions For Gluons
• Nonperturbative Description of Deep Inelastic Structure Functions in Light-Front QCD
• Light-Front Dynamics and Light-Front QCD
• Transverse-momentum dependent functions in semi-inclusive DIS
• Leading twist GTMDs at nonzero skewness and Wigner distributions in boost-invariant longitudinal position space
• Energy evolution of T-odd gluon TMDs at small $x$
• Gluon contribution to the mechanical properties of a dressed quark in light-front Hamiltonian QCD
• Small-x Evolution of the Gluon Generalized Parton Distribution Eg of the Nucleon
• The Spin Budget of the Proton at NNLO and Beyond
• Quark generalized TMDs at skewness and Wigner Distribution in boost invariant longitudinal space
• Generalized Parton Distributions of the Photon in Position Space
• Generalized Parton Distributions of the Photon for Nonzero zeta
• Generalized Parton Distributions of the Photon with Helicity Flip
• New findings in gluon TMD physics
• Wigner distributions and GTMDs in a proton using light-front quark-diquark model
• Wigner distribution of Sine Gordon and Kink solitons

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