Gravitational form factors and mechanical properties of a quark at one loop in light-front Hamiltonian QCD

TL;DR

This paper computes gravitational form factors and internal mechanical properties of a quark dressed with a gluon at one loop in light-front QCD, providing insights into the quark's structure and comparing with nucleon models.

Contribution

It introduces a light-front Hamiltonian approach to calculate GFFs and mechanical distributions for a quark-gluon system at one loop, offering a perturbative model for a relativistic spin 1/2 particle.

Findings

Calculated gravitational form factors and mechanical distributions for a quark-gluon system.

Compared results with existing nucleon models.

Provided a perturbative framework for understanding quark structure.

Abstract

We calculate the gravitational form factors (GFFs) and pressure, shear and energy distributions for a quark state dressed with a gluon at one loop in QCD. We use the light-front Hamiltonian approach. In the light-front gauge, we use a two-component formalism to eliminate the constrained fields. The state may be thought of as a perturbative model for a relativistic spin $1/2$ composite system having a gluonic degree of freedom. We compare the results with model calculations for a nucleon.