Analytic calculation of field-strength correlators

Field correlators are expressed background-field formalism through the gluelump Green's functions. The latter are obtained in the path-integral and Hamiltonian formalism. As a result, the behavior of field correlators is obtained at small mid large distances for both perturbative and nonperturbative parts. The latter decay exponentially at large distances and are finite at x = 0, in agreement with OPE and lattice data.