Abelian decomposition and glueball-quarkonium mixing in QCD

Abstract

The Abelian decomposition of QCD which decomposes the gluons to the color neutral binding gluons (the neurons) and the colored valence gluons (the chromons) gauge independently naturally generalizes the quark model to the quark and chromon model which could play the central role in hadron spectroscopy. We discuss the color reflection symmetry, the fundamental symmetry of the quark and chromon model, and explain how it describes the glueballs and the glueball-quarkonium mixing in QCD. We present the numerical analysis of glueball-quarkonium mixing in 0 ++ , 2 ++ , and 0 −+ sectors below 2 GeV, and show that in the 0 ++ sector f0(500) and f0(1500), in the 2 ++ sector f2 (1950), and in the 0 −+ sector η(1405) and η(1475) could be identified as predominantly the glueball states. We discuss the physical implications of our result.

Two Types of Jets and Quark and Chromon Model in QCD

“…Moreover, with two types of gluons we can refine and decompose the gluon propagators in the Feynman diagram to the neuron and chromon propagators in such a way that the color conservation is explicit. This sheds a new light to the QCD Feynman diagrams, and makes a deep impact on the perturbative QCD [30][31][32][33][34].…”

“…The neuron, together with the topological monopole potential, provides the binding. On the other hand the chromon, just like the quarks, becomes the colored constituent of hadrons which has to be confined [30][31][32][33][34].…”

“…This means that the neurons play the role of the binding gluons, while the chromons can be viewed as the valence gluons which become the constituent of hadrons. This naturally allows us to generalize the quark model to the quark and chromon model [32][33][34].…”

“…This generalizes the quark model to the quark and chromon model. In particular, this plays the essential role for us to understand the glueball spectrum and its mixing with quarkonium [32][33][34].…”

“…Furthermore, this symmetry plays the fundamental role in the hadron spectroscopy in the quark and chromon model [32][33][34]. To understand how the color reflection symmetry works, we must know how the neurons and chromons transform under the color reflection.…”