Recently developed analytic methods in the framework of the Field Correlato
r Method are reviewed in this series of four lectures and results of calcul
ations are compared to lattice data and experiment. Recent lattice data dem
onstrating the Casimir scaling of static quark interaction strongly support
the FCM and leave very little space for all other theoretical models, e.g.
instanton gas/liquid model. Results of calculations for mesons, baryons, q
uark-gluon plasma and phase transition temperature demonstrate that new ana
lytic methods are a powerful tool of nonperturbative QCD along with lattice
simulations.