  We show how all the contributions to the determinant of the
Dirac-Kogut-Susskind operator of QCD at finite temperature containing a net
number of Polyakov loops become irrelevant in the infinite volume limit. We
discuss also on two of the most interesting physical implications of this
result: i) the restoration of the Polyakov symmetry in the full theory with
dynamical fermions and ii) the total suppression of baryonic thermal
fluctuations in QCD at finite temperature.
