Towards resonance properties in the Dyson-Schwinger approach

TL;DR

This paper reviews the Dyson-Schwinger and Bethe-Salpeter methods for hadron spectroscopy, demonstrating how to extract resonance properties through scattering equations and pole analysis in a scalar model.

Contribution

It presents recent progress in determining resonance properties within the Dyson-Schwinger framework, including a method for extracting resonance poles and phase shifts.

Findings

Resonance poles can be extracted from scattering amplitudes.

Phase shifts provide insight into resonance behavior.

Scalar model exemplifies the approach effectively.

Abstract

We give a brief summary of the Dyson-Schwinger and Bethe-Salpeter approach to hadron spectroscopy and report on recent progress in determining resonance properties in this framework. We exemplify the extraction of resonances using a scalar model, where we solve the scattering equation for the four-point scattering amplitude and extract the pole locations on the second Riemann sheet as well as the phase shifts.