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

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.

19 Pages, 8 Figures

References in corpus (15)

• Light-Front Dynamics and AdS/QCD Correspondence: Gravitational Form Factors of Composite Hadrons
• Nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Forces within hadrons on the light front
• Chiral Perturbation Theory and the first moments of the Generalized Parton Distriputions in a Nucleon
• Quark Wigner Distributions and Orbital Angular Momentum in Light-front Dressed Quark Model
• The pion mass dependence of the nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Energy momentum tensor and the D-term in the bag model
• Forces inside the nucleon on the light front from 3D Breit frame force distributions: Abel tomography case
• Gravitational form factors within light-cone sum rules at leading order
• On the D-term of the nucleon generalized parton distributions
• Generalized form factors, generalized parton distributions and the spin contents of the nucleon
• 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
• The gravitational form factor D(t) of the electron
• Determination of shear forces inside the proton

Cited by in corpus (15)

• Forces inside a strongly-coupled scalar nucleon
• Gluon contribution to the mechanical properties of a dressed quark in light-front Hamiltonian QCD
• Dominance of gluonic scale anomaly in confining pressure inside nucleon and D-term
• Gravitational form factor $D$ of charmonium from shear stress
• Stress out of charmonia
• A Journey of Seeking Pressure and Forces in the Nucleon
• Gravitational form factors of the nucleon in the Skyrme model based on scale-invariant chiral perturbation theory
• Pion gravitational form factors at large momentum transfer in the instant-form relativistic impulse approximation approach
• Mechanical form factors and densities of non-relativistic fermions
• Energy momentum tensor on and off the light cone: exposition with scalar Yukawa theory
• Scale-anomaly-induced binding pressure in hadrons
• Sum rules for the Gravitational Form Factors using light-front dressed quark state
• Visualization of internal forces inside the proton in a classical relativistic model
• Parametrization of zero-skewness unpolarized GPDs
• Transverse energy-momentum tensor distributions in polarized nucleons