Abstract
The three-flavor Skyrme-'t Hooft-Witten model is interpreted in terms of a quark-like substructure, leading to a new model of explicitly confined color-free “quarks” reminiscent of Gell-Mann's original pre-color quarks, but with unexpected and significant differences.
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References
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Witten had good reason to call this new parameter “the number of colors”. He showed that the anomaly implied an electromagnetic interaction which, to agree with experiment, forced the anomaly parameterN W to be 3, the physical number of colors. But we insist that Witten's anomaly parameter,N W , is logically distinct from the parameter (N ′ =∞) used in defining theSU(3)/U1 manifold itself
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Note the amusing point: Gell-Mann chose the label “color” by analogy to physical color, which has abasis of three colors. Gell-Mann's analogy is even more apt in our case, whereN ′ →∞ corresponds to the infinite number of colors (distinct wave-lengths) while the number ofbasis colors being three, corresponds to themodulus N W
Using the same procedure for three-flavors as used by Manohar [4]—— and by Mattis-Braaten [5] for two flavors
L.C. Biedenharn, L.P. Horwitz: “On the Equivalence of the Skyrme-Witten and Large-N c Quark Models”, to be published in Foundations of Physics
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Biedenharn, L.C., Horwitz, L.P. Quarks in the Skyrme-'t Hooft-Witten model. Z. Phys. C - Particles and Fields 65, 551–553 (1995). https://doi.org/10.1007/BF01556143
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DOI: https://doi.org/10.1007/BF01556143