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Compositeness condition for non-abelian gauge fields

Authors
Journal
Physics Letters B
0370-2693
Publisher
Elsevier
Publication Date
Volume
445
Identifiers
DOI: 10.1016/s0370-2693(98)01453-1

Abstract

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 ( Λ is the compositeness scale) to obtain an expression for the gauge coupling constant in terms of the compositeness scale. It turns out that the gauge-boson compositeness (with a large Λ) takes place only when N f / N c >11/2, in which the asymptotic freedom fails.

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