Quark model with chiral-symmetry breaking and confinement in the Covariant Spectator Theory

TL;DR

This paper introduces a covariant quark-antiquark interaction model in Minkowski space that maintains chiral symmetry and confinement, aligning with key theoretical constraints like the axial-vector Ward-Takahashi identity.

Contribution

It presents a novel Minkowski-space quark model using Covariant Spectator Theory that preserves chiral symmetry and confinement through a specific scalar-pseudoscalar interaction structure.

Findings

Model preserves axial-vector Ward-Takahashi identity

Model complies with Adler-zero constraint

Interaction kernel maintains chiral symmetry

Abstract

We propose a model for the quark-antiquark interaction in Minkowski space using the Covariant Spectator Theory. We show that with an equal-weighted scalar-pseudoscalar structure for the confining part of our interaction kernel the axial-vector Ward-Takahashi identity is preserved and our model complies with the Adler-zero constraint for pi-pi-scattering imposed by chiral symmetry.