There are no three regimes of QCD, as speculated in that paper. There are only two, separated by already well known $T_csim 155, MeV$. Above it electric interactions are screened rather then confined. Magnetic ones remain confined all the way to $Trightarrow infty$. Spectrum of mesonic screening masses is there, but they do not represent real masses. At high $T$ they correspond to heavy quarkonia of 2+1 d gauge theory, which is well known to be a confining theory. There is no reason to expect any transition unbinding them, at $Tsim 1, GeV$ as claimed. I make calculation of correction to screening masses in 2+1d at high temperature including spatial screening tension and find results in agreement with recent lattice data.
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