Abstract

Most efforts aimed at proving (or at least understanding) confinement attempt to show that the potential energy between a static quark–antiquark pair (the static quark potential), grows linearly with the separation between the quarks. In other words, since a linear potential is associated with an area-law falloff for Wilson loops, the aim is to show that SU(3) gauge theory in D = 4 dimensions is in the phase of magnetic disorder. But if, by the word “confinement,” we mean that there is a static quark potential which rises indefinitely with quark separation, then by this definition QCD is not confining, because the static quark potential must eventually go flat due to a process, described below, known as “string breaking.”

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