Abstract
We give an overview of results for the quenched glueball spectrum from two-body bound state equations based on the 3PI effective action. The setup, which uses self-consistently calculated two- and three-point functions as input, is completely self-contained and does not have any free parameters except for the coupling. The results for JPC = 0±+, 2±+, 3±+, 4±+ are in good agreement with recent lattice results where available. For the pseudoscalar glueball, we present first results from a two-loop complete calculation, rendering also the bound state calculation fully self-consistent.
Highlights
The spectrum of bound states in quantum chromodynamics (QCD) is both experimentally and theoretically not completely known yet
Bound states of gluons, belong to the latter class. They can be investigated by ongoing and future experiments like ATLAS, BESIII, PANDA or Glue-X. Their masses were calculated with several methods, but a consensus only exists for the case of quenched QCD, viz., QCD with infinitely heavy quarks
We summarize the results for the glueball masses in Tab. 1 and Fig. 5
Summary
The spectrum of bound states in quantum chromodynamics (QCD) is both experimentally and theoretically not completely known yet. We give an overview of results for the quenched glueball spectrum from two-body bound state equations based on the 3PI e↵ective action. The setup, which uses self-consistently calculated two- and three-point functions as input, is completely self-contained and does not have any free parameters except for the coupling. We present first results from a two-loop complete calculation, rendering the bound state calculation fully self-consistent.
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