Erlangen 2026 – scientific programme

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HK: Fachverband Physik der Hadronen und Kerne

HK 12: Hadron Structure and Spectroscopy IV

HK 12.5: Talk

Tuesday, March 17, 2026, 17:45–18:00, PHIL A 401

First steps towards the mixing of Glueballs and Mesons using the Dyson-Schwinger and Bethe-Salpeter equations — •Jonathan Yigzaw, Christian Fischer, and Markus Huber — Justus-Liebig-Universität Gießen Germany

The spectrum of Quantum Chromodynamics (QCD) contains not only conventional quark-antiquark mesons but also purely gluonic bound states, the glueballs. While glueball masses have been studied extensively in pure Yang-Mills theory, their mixing with mesons of identical quantum numbers remains a largely open question. While in recent years functional methods have been successfully used to produce mass spectra for pure Yang-Mills theory, and the ongoing study of mesons in this framework has led to a fuller understanding of their properties, the effects of their mixing have not been studied yet.

As a first step towards a fully mixed spectrum of mesons and glueballs, I use the Dyson-Schwinger and Bethe-Salpeter equations to calculate the coupled set of equations in the scalar and pseudoscalar channels. I will present the resulting impact on the spectra and discuss the possible implications.

Keywords: Glueballs; Mesons; Mixing; Functional methods; QCD