2000/10/18 by Takashi Hattori, Hattori, Takashi
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Electrodynamics and Casimir Effect #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0010147
22 pages, 2 figures
arxiv created 2000/10/18 · arxiv updated 2009/11/30
In order to investigate the composite gauge field, we consider the compositeness condition (i.e. renormalization constant Z3=0) in the general non-abelian gauge field theory. We calculate Z3 at the next-to-leading order in 1/Nf expansion (Nf is the number of fermion flavors), and obtain the expression to the gauge coupling constant through the compositeness condition. Then the gauge coupling constant is proportional to 1/√(4Nf T(R)-11C2(G)) where T(R) is the index for a representation R of gauge group G, and C2(G) is the quadratic Casimir. It is found that the gauge boson compositeness take place only when Nf T(R)/C2(G) > 11/4, in which the asymptotic freedom in the non-abelian gauge field theory fails.