Functional Derivatives of Renormalized Wilson Functionals

摘要

Equations for the Wilson functional following from quantum chromodynamics are investigated within the framework of the perturbation theory. It is established that after the Wilson functional renormalization the equation remains without ultraviolet divergencies in the fourth order in the coupling constant. It is noted that the absence of divergencies in the equation takes place even in higher orders of the perturbation theory. As the Migdal-Makeenko contribution to the equation diverges by itself in the sixth order it is concluded that divergencies between these and others nonlocalized contributions must reduce. (Atomindex citation 13:700746)