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Gribov's scenario of supercritical charges in QCD is investigated. We performa numerical study of the corresponding equation for the Green function of lightquarks. This is done in an approximation which neglects all pion contributions.Different types of solutions in the Euclidean region are discussed and the massfunction of the quark is calculated. The solutions of the equation are shown tohave a qualitatively different behaviour if the strong coupling constantalpha_s exceeds a critical value alpha_c = 0.43 in the infrared region. Chiralsymmetry breaking is found to occur at supercritical coupling. The analyticstructure of the solutions is investigated. Earlier results obtained by Gribovare confirmed and extended.Comment: 30 pages, 18 figure

Gribov's equation for the Green function of light quarks