The pion electromagnetic structure with self-energy

TL;DR

This paper investigates the electromagnetic structure of the pion using light-front quantum field theory and lattice QCD, focusing on the form factor and the effects of quark self-energy in a covariant framework.

Contribution

It introduces a covariant calculation of the pion's electromagnetic form factor incorporating quark self-energy within the light-front formalism, comparing different wave function models.

Findings

Form factor calculations align with nonperturbative QCD predictions.

Self-energy effects significantly influence the pion's electromagnetic structure.

Comparison of models shows varying degrees of agreement with lattice QCD data.

Abstract

We study the electromagnetic structure of the pion in terms of the quantum cromodynamic~(QCD) model on the Breit-frame. We calculated the observables, such as the electromagnetic form factor. The priori to have a calculation covariant need to get the valence term of the eletromagnetic form factor. We use the usual formalism in quantum field theory (QFT) and light-front quantum field theory (LFQFT) in order to test the properties of form factor in nonperturbative QCD. In this particular case, the form factor can be obtained using the pion Light-Front (LF) wave function including self-energy from Lattice-QCD. Specifically, these calculations was performed in LF formalism. We consider a quark-antiquark vertex model having a quark self-energy. Also we can use other models to compare the pion electromagnetic form factor with different wave function and to observe the degree of agreement between them.