Effect of HYP Smearing steps on results of Wilson loop

We would like to investigate the effects of smearing steps on values of Wilson loop.

The following are quantities of interest :

  1. Variation of Wilson Loop on different smearing steps.
  2. We shall find a optimum number of smearing steps. More the smearing steps we use, less reliable smaller Wilson loops becomes.

Procedure

  1. Generate plots mean value of Wilson loop(with error) for fixed length(R) as a function of height(Z, fictitious time). Repeat this for all values of R (1 to 31). Do this from no_smearing_steps={0,1,2,3,4............100}.
  2. Find variation in mean value of Wilson loops for a given R,Z with different number of smearing steps.