Anomalous Currents and Gluon Condensates in QCD at Finite Temperature

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.