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Complementarity between Gauge-Boson Compositeness and Asymptotic Freedom -- with scalar matter

Keiichi Akama·Takashi Hattori
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Abstract

We derive and solve the compositeness condition for the SU(N_c) gauge boson coupling with N_s scalar fields at the next-to-leading order in 1/N_s and the leading order in ln(Λ^2) (Λis the compositeness scale). It turns out that the argument of gauge-boson compositeness (with a large Λ) is successful only when N_s/N_c>22, in which the asymptotic freedom fails, as is in the previously investigated case with fermionic matter.

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Keiichi Akama, Takashi Hattori. 2004-04-17. Complementarity between Gauge-Boson Compositeness and Asymptotic Freedom -- with scalar matter. https://arxiv.org/abs/hep-th/0310236

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