The doubler-free gluon action used in this study is given by

This is a Symanzik-improved lattice action [1], which is accurate up to
errors
(classically).
The tadpole-improvement scheme is

because of the assumption
[2,3].
We examine anisotropic lattices with spatial lattice spacings
from 0.25
to 0.4 fm and anisotropy
ranging from 1/2 to 1/5. The mean spatial
tadpole-improvement factor
varies from 0.772 to 0.807. For every
lattice considered we generate a corresponding Markov chain of 4000
configurations ( i.e. MC sweeps), which are viewed as Monte Carlo time
series of appropriate lattice operators.
On these time series we perform autocorrelation measurements on six lattice
observables: Pss, Pst, Rss, Rst1, Rst2 and Act, which are shown in
Fig.
.
Figure: Types of planar loops used in this study.