Abstract
The solutions of the Schwinger-Dyson equations for the ghost and quark propagators in the infrared region of quantum chromodynamics are studied. It is shown that there exists a gauge in which the equation for the ghost propagator has the free solution. This result is used to justify the possibility of omitting the contributions of the ghosts from the gauge identity for the quark-gluon vertex in this distinguished gauge. Under this condition, a new class of solutions to the equation for the quark propagator is obtained; the class includes solutions with broken chiral invariance that are manifestly nonanalytic with respect to the coupling constant.
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