Abstract
In quark confinement physics, the center of the gauge group plays a crucial role.1 This can be seen from a proper formulation of the problem. One would like to explain
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(1)
Quark confinement: There are no physical states with the flavor quantum numbers of a quark = all physical particles have integral baryon number etc.,
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(2)
Saturation of forces: The known physical hadrons are made of three quarks, or a quark and an antiquark, but not six or nine quarks etc..
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Mack, G. (1980). Properties of Lattice Gauge Theory Models at Low Temperatures. In: Hooft, G., et al. Recent Developments in Gauge Theories. NATO Advanced Study Institutes Series, vol 59. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-7571-5_14
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