Abstract A new approach to QCD - momentum loop dynamics - is proposed. The basic quantity is the local momentum p μ ( s) of quarks propagating along the closed loop in a gluonic vacuum. Using the equations of QCD at N = ∞, we derive the stochastic motion of p μ ( s) in extra proper time H. We propose an explicit method for computer simulation, preserving all the symmetries of the continuum theory. An advantage of this approach is the genuine reduction of degrees of freedom. The problems are related with cancellations in numerical simulations.