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Spatial distribution of Angular Momentum Inside a Quark State Dressed with a Gluon
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abstract
We investigate the different decompositions of the angular momentum in QCD for a relativistic spin $1/2$ composite state, namely a quark dressed with a gluon. We use light-front Hamiltonian perturbation theory, and in the light-front gauge, use the two-component framework by eliminating the constrained degrees of freedom. We also investigate the different decompositions of the angular momentum at the level of two-dimensional densities in the front form, including the effect of the so-called potential term. In this work, we consider the contribution coming from the quark part of the energy-momentum tensor. We contrast the different decompositions and also compare with other calculations in the literature. We also present the gravitational form factor related to the antisymmetric part of the energy-momentum tensor.
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Gluon contribution to the angular momentum distribution of a dressed quark state
Gluon angular momentum densities in a dressed quark model are computed for canonical, kinetic, and Belinfante decompositions, and the spin sum rule is verified.
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