Dynamics of QCD at large $N_c$
  Dynamics of confinement, chiral symmetry breaking and thermal phase transition is considered at large $N_c$. It is argued that these phenomena are quantitatively well described within the Gaussian stochastic model of the QCD vacuum. Selfconsistent equations are written for the field correlators of the model, yielding important connection between gluonic correlation length of the vacuum and the string tension. Comparison to other approaches and experimental and lattice data is given. 
Y.A.Simonov (ITEP)