Twist analysis of the spin-orbit correlation in QCD
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914917398872064 |
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| author | Hatta, Yoshitaka Schoenleber, Jakob |
| author_facet | Hatta, Yoshitaka Schoenleber, Jakob |
| contents | We present a QCD analysis of the twist-three parton distribution functions associated with the spin-orbit correlation of quarks and gluons in spin-$\frac{1}{2}$ and spin-0 hadrons. We derive exact non-perturbative identities decomposing the spin-orbit correlations into the Wandzura-Wilczek part and the genuine twist-three part. In the spin-$\frac{1}{2}$ case, the result is partially related to the kinematical twist-three part of the $g_T(x)$ distribution familiar in the context of transverse spin physics. We use these identities to obtain a novel longitudinal momentum sum rule which may be regarded as the momentum version of the Jaffe-Manohar spin sum rule.
We explore the physical interpretation of the sum rule and make a connection to the color Lorentz forces and their associated potential energies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_18872 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Twist analysis of the spin-orbit correlation in QCD Hatta, Yoshitaka Schoenleber, Jakob High Energy Physics - Phenomenology We present a QCD analysis of the twist-three parton distribution functions associated with the spin-orbit correlation of quarks and gluons in spin-$\frac{1}{2}$ and spin-0 hadrons. We derive exact non-perturbative identities decomposing the spin-orbit correlations into the Wandzura-Wilczek part and the genuine twist-three part. In the spin-$\frac{1}{2}$ case, the result is partially related to the kinematical twist-three part of the $g_T(x)$ distribution familiar in the context of transverse spin physics. We use these identities to obtain a novel longitudinal momentum sum rule which may be regarded as the momentum version of the Jaffe-Manohar spin sum rule. We explore the physical interpretation of the sum rule and make a connection to the color Lorentz forces and their associated potential energies. |
| title | Twist analysis of the spin-orbit correlation in QCD |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2404.18872 |