Gluon-Glueball Duality and Glueball Searches
Shmuel Nussinov, Robert Shrock

TL;DR
This paper introduces the concept of gluon-glueball duality, analogous to quark-hadron duality, and explores its potential application in experimental glueball searches through heavy quarkonium radiative decay.
Contribution
It proposes a new duality concept in QCD and discusses its approximate validity in real QCD, offering a novel approach for glueball detection.
Findings
Duality is demonstrated in simplified QCD models.
An approximate duality may hold in real QCD based on time scale hierarchies.
A new method for experimental glueball searches is suggested.
Abstract
We discuss a notion of gluon-glueball duality analogous to quark-hadron duality. We apply this idea to the radiative decay of heavy orthoquarkonium, , which has been used to search for glueballs. The duality is first introduced in two simplified contexts: (i) a hypothetical version of QCD without any light quarks and (ii) QCD in the large- limit. We then discuss how an approximate form of this duality could hold in real QCD, based on a hierarchy of time scales in the temporal evolution of the subsystem in radiative orthoquarkonium decay. We apply this notion of gluon-glueball duality to suggest a method that could be useful in experimental searches for glueballs.
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