Abstract
Wigner distributions contain combined position and momentum space information of the quark distributions and are related to both generalized parton distributions (GPDs) and transverse momentum dependent parton distributions (TMDs). We report on a recent model calculation of the Wigner distributions for the quark and their relation to the orbital angular momentum.
Highlights
Wigner distributions are related to the generalized parton correlation functions (GPCFs) or generalized transverse momentum dependent parton distributions (GTMDs)
The quark-quark correlator in Eq(2) defining the Wigner distributions can be parameterized in terms of generalized transverse momentum dependent parton distributions (GTMDs) [3]
We presented a recent calculation of the Wigner distributions for a quark state dressed with a gluon using the overlap representation in terms of the light-front wave functions (LFWFs)
Summary
Wigner distributions are related to the generalized parton correlation functions (GPCFs) or generalized transverse momentum dependent parton distributions (GTMDs). In this work [2], we calculate the Wigner functions for a dressed quark in lightfront Hamiltonian perturbation theory, which is basically a relativistic composite spin 1/2 state. This is a simple model with a gluonic degree of freedom. The advantage is that this approach gives a field theoretic description of deep inelastic scattering processes and at the same time keeps We present a calculation of the Wigner distributions in this model
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