What happens to the gluon linking Quarks at time of formation of quark

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SUMMARY

The discussion centers on the behavior of gluons linking quarks during the formation of quark stars, emphasizing that quark stars consist of a chaotic mixture of short-lived gluons and virtual quarks rather than a fixed number of gluons. It is established that when high-energy electron-positron collisions produce quark-antiquark pairs, these pairs exhibit non-singlet color properties, indicating that they are not independent from the beginning. The conversation highlights the necessity of color neutralization through non-perturbative interactions in such high-energy environments.

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what happens to the gluon linking Quarks at time of formation of quark star? whether the quark star consists of only quarks or quark gluon plasma?
 
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There are not "some number of gluons linking quarks" in a baryon. It is more like a mess of short-living gluons and virtual quarks (and even that model can be problematic). So you just have merging messes of gluons, virtual and real quarks.
 
I must say I do not really understand the original formulation. My two cents nevertheless.

If you collide an electron with a positron at very high energies, and produce a quark-antiquark pair flying off back-to-back, some non-singlet (or "non-zero" if you will) color is flying with each member of the pair. That implies such two jets are not independent from the onset. One can be sure that there will be some amount of color neutralization via a lower energy, non-perturbative "messy" exchange, as mfb mentions.
 

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