Complementarity between Gauge-Boson Compositeness and Asymptotic Freedom
Keiichi Akama, Takashi Hattori
Abstract
We derive and solve the compositeness condition for the SU(Nc) gauge boson at the next-to-leading order in 1/Nf (Nf is the number of flavors) and the leading order in ln(Λ2) (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 Nf/Nc>11/2, in which the asymptotic freedom fails.
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