2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/47475New nonlinear equations for field correlators in the large $N_c$ gluodynamics are derived. Nonperturbative confining correlators are shown to satisfy a system of nonlinear scale-invariant equations. Keeping only the simplest, bilocal correlators one can find the exponential large distance behaviour for both independent correlators $D$ and $D_1$ and express coefficients in the exponentials -- the gluonic correlation length $T_g$ -- through the string tension. Numerically these results are in agreement with lattice data.LaTeX, 14 pages, no figuresHigh Energy Physics - Phenomenologytext