Gluon Wigner distributions with transverse polarization at non-zero skewness

Abstract: We investigate the gluon Wigner distributions at non-zero skewness using light-front wave functions (LFWFs) in the dressed quark model, where the target state is a quark dressed with a gluon in the leading-order Fock space expansion. The analysis is for the configurations where either the gluon or the target is transversely polarized. We construct the Wigner distributions in a boost-invariant longitudinal space, characterized by the variable $\sigma=\frac{1}{2}b^-P^+$, which is conjugate to the skewness parameter $\xi$. We observe a diffraction-like pattern in $\sigma-$ space, reminiscent of the single-slit interference phenomenon in optics, highlighting quantum interference effects in the gluon phase-space distribution.