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Complementarity between Gauge-Boson Compositeness and Asymptotic Freedom

Keiichi Akama·Takashi Hattori
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Abstract

We derive and solve the compositeness condition for the SU(N_c) gauge boson at the next-to-leading order in 1/N_f (N_f is the number of flavors) and the leading order in ln(Λ^2) (Λis the compositeness scale) to obtain an expression for the gauge coupling constant in terms of the compositeness scale. It turns out that the argument of gauge-boson compositeness (with a large Λ) is successful only when N_f/N_c>11/2, in which the asymptotic freedom fails.

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Keiichi Akama, Takashi Hattori. 1997-09-13. Complementarity between Gauge-Boson Compositeness and Asymptotic Freedom. https://arxiv.org/abs/hep-ph/9708242

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