Gluon contribution to the mechanical properties of a dressed quark in light-front Hamiltonian QCD

Abstract

We calculate the contribution to the gravitational form factors (GFFs) from the gluon part of the energy-momentum tensor in QCD. We take a simple spin $1/2$ composite state, namely a quark dressed with a gluon. We use the light-front Hamiltonian QCD approach in the light-front gauge. We also present the effect of the gluon on the mechanical properties like the pressure, shear and energy distributions of the dressed quark state.

17 pages, 8 figures

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• Energy momentum tensor on and off the light cone: exposition with scalar Yukawa theory
• Gluon Generalized TMDs and Wigner Distributions in boost invariant longitudinal space
• Sum rules for the Gravitational Form Factors using light-front dressed quark state
• Transverse energy-momentum tensor distributions in polarized nucleons