EFFECTIVE BOSONIC DEGREES OF FREEDOM FOR ONE-FLAVOR CHROMODYNAMICS

We apply an earlier formulated program for quantization of nonabelian gauge theories to one-flavour chromodynamics. This program consists in a complete reformulation of the functional integral in terms of gauge invariant quantities. For the model under consideration two types of gauge invariants occur - quantities, which are bilinear in quarks and antiquarks (mesons) and a matrix-valued covector field, which is bilin ear in quarks, antiquarks and their covariant derivatives. This covect or field is linear in the original gauge potential, and can be, theref ore, considered as the gauge potential ''dressed'' in a gauge invarian t way with matter. Thus, we get a complete bosonization of the theory. The strong interaction is described by a highly non-linear effective action obtained after integrating out quarks and gluons from the funct ional integral. All constructions are done consequently on the quantum level, where quarks and antiquarks are anticommuting objects. (C) Els evier, Paris.