Chiral-symmetry breaking and pion structure in the Covariant Spectator Theory

TL;DR

This paper presents a covariant Minkowski space approach to model quarks and mesons, capturing chiral-symmetry breaking and confinement, and applies it to calculate the pion form factor considering quark mass functions and pole contributions.

Contribution

It introduces a novel covariant Minkowski space framework for quark and meson modeling that incorporates chiral symmetry breaking and confinement, and computes the pion form factor within this model.

Findings

Quark mass function is successfully obtained from the model.

The pion form factor is calculated considering different quark pole contributions.

The approach demonstrates the effects of the mass function on pion properties.

Abstract

We introduce a covariant approach in Minkowski space for the description of quarks and mesons that exhibits both chiral-symmetry breaking and confinement. In a simple model for the interquark interaction the quark mass function is obtained and used in the calculation of the pion form factor. We study the effects of the mass function and of the different quark pole contributions on the pion form factor.