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We apply to lattice QCD a bosonization method previously developed in whichdynamical bosons are generated by time-dependent Bogoliubov transformations.The transformed action can be studied by an expansion in the inverse of thenilpotency index, which is the number of fermionic states in the structurefunction of composite bosons. When this number diverges the model is solved bythe saddle point method which has a variational interpretation. We give astationary covariant solution for a background matter field whose fluctuationsdescribe mesons. In the saddle point approximations live fermionicquasiparticles with quark quantum numbers which are confined, in the sense thatthey propagate only in pointlike color singlets. Conditions for chiral symmetrybreaking are determined, to be studied numerically, and a derivation ofmesons-nucleons action is outlined.

Chiral symmetry breaking and quark confinement in the nilpotency expansion of QCD