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PreprintarXiv licencearXiv

Gravitational transverse momentum dependent distributions for the gluons

  • Kauship Saha
  • Dipansu Mishra
  • Dipankar Chakrabarti
  • Asmita Mukherjee
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Abstract

We investigate the momentum-space structure of the gauge-invariant gluon energy-momentum tensor (EMT) for spin-$0$ and spin-1/2 hadrons in the light-front formalism. We parameterize the nonlocal gluon EMT in terms of so-called gluon gravitational transverse-momentum-dependent distributions (gravitational TMDs) and derive their connections to twist-2 and twist-3 gluon TMDs. Moreover, we demonstrate that particular components of the gluon EMT encode information about the average kinetic four-momentum of gluons and the internal mechanical properties of hadrons-such as pressure and shear distributions.

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Cite

BibTeXRIS
BibTeX
@misc{saha2026gravitational,
  title = {{Gravitational transverse momentum dependent distributions for the gluons}},
  author = {Kauship Saha and Dipansu Mishra and Dipankar Chakrabarti and Asmita Mukherjee},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.08499},
  eprint = {2609.08499},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.08499},
}
RIS
TY  - UNPB
TI  - Gravitational transverse momentum dependent distributions for the gluons
AU  - Kauship Saha
AU  - Dipansu Mishra
AU  - Dipankar Chakrabarti
AU  - Asmita Mukherjee
PY  - 2026
DA  - 2026/09/08
PB  - arXiv
DO  - 10.48550/arxiv.2609.08499
UR  - https://arxiv.org/abs/2609.08499
AB  - We investigate the momentum-space structure of the gauge-invariant gluon energy-momentum tensor (EMT) for spin-$0$ and spin-1/2 hadrons in the light-front formalism. We parameterize the nonlocal gluon EMT in terms of so-called gluon gravitational transverse-momentum-dependent distributions (gravitational TMDs) and derive their connections to twist-2 and twist-3 gluon TMDs. Moreover, we demonstrate that particular components of the gluon EMT encode information about the average kinetic four-momentum of gluons and the internal mechanical properties of hadrons-such as pressure and shear distributions.
ER  -