Regge Trajectories of Radial Meson Excitations: Exploring the Dyson-Schwinger-- Bethe-Salpeter Approach

TL;DR

This paper uses the Dyson-Schwinger and Bethe-Salpeter equations to investigate meson Regge trajectories, confirming linear patterns in certain channels with a specific kernel, advancing understanding of meson spectra.

Contribution

It applies the combined Dyson-Schwinger and Bethe-Salpeter approach with the Alkofer-Watson-Weigel kernel to explore meson Regge trajectories, highlighting its effectiveness in reproducing linear patterns.

Findings

Linear Regge trajectories in the $J^P= 0^-$ channel.

Good agreement with known ground state meson spectra.

Validation of the approach for pseudo-scalar and vector mesons.

Abstract

The combined Dyson-Schwinger and Bethe-Salpeter equations in rainbow-ladder approximation are used to search for Regge trajectories of mesons in the pseudo-scalar and vector channels. We focus on the often employed Alkofer-Watson-Weigel kernel which is known to deliver good results for the ground state meson spectra; it provides linear Regge trajectories in the $J^P= 0^-$ channel.