  After a short description of the currents coming from the known conservation
laws in classical physics, we look at some further cases which arise after
quantization in relation to quantum chromodynamics (QCD) at finite temperature.
In these cases, however, some basic changes appear with the anomalies. First we
go into the relationship between the trace of the energy momentum tensor and
the gluon condensate at finite temperature. Using the recent numerical data
from the simulations of lattice guage theory we present the computational
evaluations for the gluon condensates at finite temperature. Thereafter we
discuss the effects of chiral symmetry breaking and its restoration at finite
temperature through the chiral phase transition. In this context we investigate
the properties of the gluon condensate in the presence of massive dynamical
quarks using numerical data. Finally we put together these results with a
discussion of the various anomalous currents and their relationship to our
findings here.
