Pseudoscalar glueball mass: a window on three-gluon interactions

Abstract

In pure-glue QCD, gluon-gluon scattering in the $J^{PC}=0^{-+}$ channel is described by a very simple equation, especially if one considers just the leading contribution to the scattering kernel. Of all components in this kernel, only the three-gluon vertex, $V_{\mu \nu \rho }$, is poorly constrained by contemporary analyses; hence, calculations of $0^{-+}$ glueball properties serve as a clear window onto the character and form of $V_{\mu \nu \rho }$. This is important given that many modern calculations of $V_{\mu \nu \rho }$ predict the appearance of an infrared suppression in the scalar function which comes to modulate the bare vertex after the nonperturbative resummation of interactions. Such behaviour is a peculiar prediction; but we find that such suppression is essential if one is to achieve agreement with lattice-QCD predictions for the $0^{-+}$ glueball mass. It is likely, therefore, that this novel feature of $V_{\mu \nu \rho }$ is real and has observable implications for the spectrum, decays and interactions of all QCD bound-states.

arXiv comment6 pages, 4 figures. To appear in Eur. Phys. J. A - Letter

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• Glueballs from bound state equations
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