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We have investigated a closed system of equations for the quark propagator,obtained earlier within our general approach to QCD at low energies. It impliesquark confinement (the quark propagator has no pole, indeed), as well as thedynamical breakdown of chiral symmetry (a chiral symmetry preserving solutionis forbidded). This system can be solved exactly in the chiral limit. We haveestablished the space of the smooth test functions (consisting of the Green'sfunctions for the quark propagator and the corresponding quark-gluon vertex) inwhich our generalized function (the confining gluon propagator) becomes acontinuous linear functional. It is a linear topological space $K(c)$ of theinfinitely differentiable functions (with respect to the dimensionless momentumvariable $x$), having compact support in the region $x \leq c$. We develop ananalytical formalism, the so-called chiral perturbtion theory at thefundamental quark level, which allows one to find explicit solution for thequark propagator in powers of the light quark masses. We also develop ananalytical formalism, which allows one to find the solution for the quarkpropagator in the inverse powers of the heavy quark masses. It justifies theuse for the heavy quark propagator its free counterpart up to terms of theorder $1/m_Q^3$, where $m_Q$ is the heavy quark mass. So this solutionautomatically possesses the heavy quark spin-flavor symmetry.

II. The mass gap and solution of the quark confinement problem in QCD