Electromagnetic production of pions and quark dynamical mass in Minkowski space

TL;DR

This paper investigates the electromagnetic production of pions and quark mass dynamics in Minkowski space using Dyson-Schwinger equations, highlighting interference effects and resonance mechanisms in QCD.

Contribution

It introduces a Minkowski space framework for solving QCD Dyson-Schwinger equations and explores the interference effects in the timelike pion form factor.

Findings

Timelike pion form factor arises from interference of quark loops and resonant structures.

QCD Green's functions oscillate for timelike arguments, affecting production processes.

Minkowski space analysis offers new insights into chiral symmetry breaking and confinement.

Abstract

Mechanism for generation of vector meson resonances is studied in the framework of QCD Dyson-Schwinger equations, which are defined and actually solved in Minkowski space. It is suggested that the timelike pion form factor is generated by the interference of the background quark loops together with the resonant structure predominantly created in the photon-quark-antiquark vertex. It is suggested that QCD Green's functions involving quark fields are oscillating for timelike arguments, which makes the interference effect among various QCD Green's functions quite strong and important for the correct description of production processes. A further peculiarities of dynamical chiral symmetry breaking and confinement phenomena as viewed in Minkowski space are discussed.