Sum rules for the Gravitational Form Factors using light-front dressed quark state

Abstract

We consider a light-front dressed quark state, per se, instead of a proton state, we consider a simple composite spin-1/2 state of a quark dressed with a gluon. This perturbative model incorporates gluonic degrees of freedom, which enable us to evaluate the gravitational form factors (GFFs) of the quark as well as the gluon in this model \cite{More:2021stk, More:2023pcy}. We employ the Hamiltonian framework and choose the light-front gauge $A^{+}=0$. We calculate the four GFFs and corroborate the sum rules that GFFs satisfy. The GFF $D$ is attributed to information like pressure, shear, and energy distributions. We analyze some of these distributions for a dressed quark state at one loop in QCD.

Presented by Jai More at the International Conference on the Structure of Baryons, November 7-11th, Universidad Pablo de Olavide, Sevilla, Spain. 8 pages, 3 figures. To appear in Few-Body systems

References in corpus (7)

• The nucleon form-factors of the energy momentum tensor in the Skyrme model
• Energy momentum tensor and the D-term in the bag model
• Gravitational form factors and transverse spin sum rule in a light front quark-diquark model in AdS/QCD
• Rigorous constraints on the matrix elements of the energy-momentum tensor
• Deeply virtual Compton scattering cross section at high Bjorken $x_B$
• Gravitational form factors and mechanical properties of a quark at one loop in light-front Hamiltonian QCD
• Gluon contribution to the mechanical properties of a dressed quark in light-front Hamiltonian QCD