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Leading twist GTMDs at nonzero skewness and Wigner distributions in boost-invariant longitudinal position space

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arxiv 2202.08635 v1 pith:RONL4LAH submitted 2022-02-17 hep-ph hep-thnucl-th

Leading twist GTMDs at nonzero skewness and Wigner distributions in boost-invariant longitudinal position space

classification hep-ph hep-thnucl-th
keywords distributionslongitudinalskewnessboost-invariantgtmdspositionspacewigner
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

We investigate the leading twist quark generalized transverse momentum distributions (GTMDs) at nonzero skewness in a light-front quark-diquark model for the nucleon motivated by soft-wall AdS/QCD. The boost-invariant longitudinal coordinate, $\sigma=\frac{1}{2} b^- P^+$, is identified as the Fourier conjugate of the skewness. The Fourier transform of the GTMDs with respect to the skewness variable $\xi$ can be employed to provide the Wigner distributions in the boost-invariant longitudinal position space $\sigma$, the coordinate conjugate to light-front time, $\tau=t+z/c$. The Wigner distributions in the longitudinal position space exhibit diffraction patterns, which are analogous to the diffractive scattering of a wave in optics.

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Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Gravitational transverse momentum distribution of proton

    hep-ph 2026-04 unverdicted novelty 6.0

    Analytical expressions for quark gravitational TMDs are derived in the LFQDM, verified against standard TMD relations, and linked to transverse pressure and shear-force distributions.

  2. T-odd Wigner Distributions in boost-invariant longitudinal position space and Spin-momentum correlation in proton

    hep-ph 2024-08 unverdicted novelty 5.0

    T-odd leading-twist GTMDs in σ-space exhibit -t-dependent oscillations with transverse-longitudinal interference, while Sivers and Boer-Mulders Wigner distributions encode proton spin-transverse momentum correlations.

  3. GTMDs, orbital angular momentum, and pretzelosity

    hep-ph 2026-05 unverdicted novelty 4.0

    In the bag model, GTMD calculations are consistent, orbital angular momentum is tied to F_{1,4}^q through the Ji sum rule, and a deeper link to pretzelosity TMD is established.