  The AMY formalism is widely used to describe the transport coefficients of
asymptotically hot and dense QCD matter, such as shear viscosity $\eta$. In
literature prior to AMY, the viscosity of an asymptotically hot QCD plasma was
expressed by a $q^2$ momentum transfer-weighted relaxation time approximation.
Recent studies that compared numerical transport calculations and analytical
expressions for $\eta$ demonstrated that asymptotically high temperatures and
densities induce anisotropic scatterings, which are exhibited in the
quark-gluon plasma produced by relativistic heavy ion collisions. In these
studies, the QGP was treated as a Maxwell-Boltzmann-distributed gluon gas with
added (anti-)quark degrees of freedom. One such method used in the comparison
was the "modified" $q^2$ transport-weighted RTA. In this study, a comparison
between the AMY formalism (both numerical calculations and next-leading-log
expression) and the modified RTA expression for $\eta$ is made in 0-flavor
SU(3) theory. The comparison between numerical AMY calculations and the
modified RTA method shows perfect agreement under the temperatures associated
with collider-produced QGP. Additionally, AMY is compared with the
Chapman-Enskog method, which is well understood to better describe anisotropic
collider-produced QGP.
