  We discuss a natural notion of entropy in quantum field theory and apply it
to asymptotically free theories in their perturbative regimes. We then
specialize to QCD and find that quark flavor states can be described as
entropy--ordered states of QCD, and that the masses for the $s\bar{s}$--state,
charm, $c\bar{c}$--state, bottom and $b\bar{b}$--state can all be fitted by
requiring that the entropy of each of these states be the same. The resulting
Pearson correlation coefficient between theory and experiment is better than
0.99, and the known quark masses can be accounted for with less than an 8\%
error.
