Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.24694 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915891572113408 |
|---|---|
| author | Sonia Maji, Tanmay Kumar, Hemant |
| author_facet | Sonia Maji, Tanmay Kumar, Hemant |
| contents | The Wigner distributions (WDs) in boost-invariant longitudinal space for unpolarized, longitudinally polarized and linearly polarized gluons in a proton are presented in the framework of the light-front gluon spectator model inspired by AdS/QCD. The boost-invariant longitudinal space defined by the coordinate $σ=\frac{1}{2}b^- P^+$, can be accessed through the Fourier transformation over skewness $ξ$ to the gluon-gluon correlator of generalized transverse momentum dependent distributions (GTMDs). The model results for gluon WDs in $σ$-space show an oscillatory behavior analogous to the diffraction scattering of a wave in optics. The diffraction pattern is more sensitive to the momentum fraction $x$ and passively varies with the total energy transfer to the electron-proton scattering $-t$, both of which are analogous to an effective slit-width. The leading-twist gluon WDs in the impact-parameter space and their skewness sensitivity are investigated extensively for unpolarized, longitudinally polarized, and transversely polarized protons. The gluon spin-OAM correlation is also reported and compared with existing models and lattice results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_24694 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Gluon Wigner Distributions in boost-invariant longitudinal position space Sonia Maji, Tanmay Kumar, Hemant High Energy Physics - Phenomenology The Wigner distributions (WDs) in boost-invariant longitudinal space for unpolarized, longitudinally polarized and linearly polarized gluons in a proton are presented in the framework of the light-front gluon spectator model inspired by AdS/QCD. The boost-invariant longitudinal space defined by the coordinate $σ=\frac{1}{2}b^- P^+$, can be accessed through the Fourier transformation over skewness $ξ$ to the gluon-gluon correlator of generalized transverse momentum dependent distributions (GTMDs). The model results for gluon WDs in $σ$-space show an oscillatory behavior analogous to the diffraction scattering of a wave in optics. The diffraction pattern is more sensitive to the momentum fraction $x$ and passively varies with the total energy transfer to the electron-proton scattering $-t$, both of which are analogous to an effective slit-width. The leading-twist gluon WDs in the impact-parameter space and their skewness sensitivity are investigated extensively for unpolarized, longitudinally polarized, and transversely polarized protons. The gluon spin-OAM correlation is also reported and compared with existing models and lattice results. |
| title | Gluon Wigner Distributions in boost-invariant longitudinal position space |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2603.24694 |