Gravitational transverse momentum dependent distributions for the gluons
Kauship Saha, Dipansu Mishra, Dipankar Chakrabarti, Asmita Mukherjee
Abstract
We investigate the momentum-space structure of the gauge-invariant gluon energy-momentum tensor (EMT) for spin-0 and spin-12 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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