On the possibility of conformal infrared asymptotic behavior in non-Abelian Yang–Mills theory

The possibility of realization of a eonformally invariant infrared asymptotic behavior in non-Abelian Yang–Mills theory is discussed. It is shown in the framework of the coaformal bootstrap method that the assumption of exact conformal invariance contradicts transversality of the polarization operator, i.e. the Ward identities, but one can nevertheless attempt to use conformat theory as an approximate solution of the bootstrap self-coasisteacy equations.