Relation between Yang–Mills glueballs and QCD glueballs

Determine how, or whether, glueball states in full QCD with dynamical quarks are related to the glueball states of quarkless SU(3) Yang–Mills theory, in order to assess the rigor of phenomenological interpretations based on Yang–Mills calculations.

Background

Many theoretical and phenomenological expectations for glueballs are based on the well-established spectrum calculated in quarkless SU(3) Yang–Mills theory. The chapter notes that radiative charmonium-decay calculations and experimental interpretations often use these Yang–Mills results, even though physical QCD contains light quarks and allows mixing and hadronic decays. Clarifying the correspondence between the two theories is therefore necessary before Yang–Mills predictions can be reliably used to identify glueballs in experiment.

References

These results have been used in interpretations of BESIII radiative decay data, but since it is not clear how (or even if) the glueballs in QCD with quarks are related to the Yang-Mills glueballs, how rigorous these interpretations are is up for discussion.

Exotics with gluonic excitations  (2608.16784 - Dudek, 17 Aug 2026) in Section 2, Glueballs