Quark Wigner Distributions Using Light-Front Wave Functions
arXiv:1701.00339 · doi:10.1103/PhysRevD.95.074039
Abstract
The quasi-probabilistic Wigner distributions are the quantum mechanical analog of the classical phase-space distributions. We investigate quark Wigner distributions for a quark state dressed with a gluon, which can be thought of as a simple composite and relativistic spin-1/2 state with a gluonic degree of freedom. We calculate various polarization configurations, namely unpolarized, longitudinally polarized and transversely polarized quark and the target state using light-front wave functions in this model. At leading twist, one can define 16 quark Wigner distributions, however, we obtain only 8 independent non-zero Wigner distributions in our model. We compare our results with other model calculations for the proton.
21 pages, 5 figures, version published by Phys. Rev. D
References in corpus (10)
- Generalized parton correlation functions for a spin-1/2 hadron
- Quark Wigner Distributions and Orbital Angular Momentum
- Unified framework for generalized and transverse-momentum dependent parton distributions within a 3Q light-cone picture of the nucleon
- 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
- Wigner Distributions for Gluons in Light-front Dressed Quark Model
- Quark Wigner distributions in a light-cone spectator model
- Use of the Husimi distribution for nucleon tomography
- Electron Structure: Shape, Size and GPDs in QED
- Wigner distributions of quarks for different polarizations
Cited by in corpus (23)
- Generalized TMDs and the exclusive double Drell-Yan process
- Transverse spin effects in hard semi-inclusive collisions
- Wigner Distributions For Gluons
- Gravitational form factors and mechanical properties of a quark at one loop in light-front Hamiltonian QCD
- Sivers and Boer-Mulders GTMDs in Light-front Holographic Quark-diquark Model
- Quark Wigner distribution of the pion meson in light-cone quark model
- Study of kaon structure using the light-cone quark model
- Leading twist GTMDs at nonzero skewness and Wigner distributions in boost-invariant longitudinal position space
- Gluon contribution to the mechanical properties of a dressed quark in light-front Hamiltonian QCD
- Quark Wigner Distributions and GTMDs of Pion in the Light-Front Holographic Model
- Wigner distributions for an electron
- Quark generalized TMDs at skewness and Wigner Distribution in boost invariant longitudinal space
- Matching generalised transverse-momentum-dependent distributions onto generalised parton distributions at one loop
- Wigner distributions and GTMDs in a proton using light-front quark-diquark model
- Gluon Generalized TMDs and Wigner Distributions in boost invariant longitudinal space
- Understanding the Valence Quark Structure of the Pion through GTMDs
- Gluon generalized transverse momentum dependent parton distributions and Wigner functions of the Proton
- Six-dimensional light-front Wigner distributions of the proton
- Mapping the internal structure of hadrons through color and spin effects
- Sum rules for the Gravitational Form Factors using light-front dressed quark state
- Study of Twist-2 GTMDs in scalar-diquark model
- Three Dimensional Imaging of the Nucleon
- T-odd Wigner Distributions in boost-invariant longitudinal position space and Spin-momentum correlation in proton