Quark Wigner Distributions Using Light-Front Wave Functions

Understand

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.