On the structure of QCD string

The outcomes lattice QCD have shown, that QCD doubtlessly is unique theory of interaction of colour objects. On the other hand for clearly understanding of the mechanism of interaction of these objects the analytical approach or potential model of quarks are very well. Certainly numerical and analytical methods supplement one another. The last three decades intensively try to get a Hamiltonian of interaction of quarks, which explains a condition of confinement and deconfinement constituent particles, starting from a basic principle of QCD. In the present time exist a set of potential models. One from the most successful approaches for the description of a structure and dynamics of colour objects is the model of stochastic coloured vacuum. In the paper the analytical models as a stochastic vacuum have been used, and the loop function polarization at the large distance is studied. From asymptotic behavior of the loop function the string QCD Hamiltonian was obtained