On unconstrained SU (2) gluodynamics with theta angle

. The Hamiltonian reduction of classical SU (2) Yang–Mills field theory to the equivalent unconstrained theory of gauge invariant local dynamical variables is generalized to the case of nonvanishing θ -angle. It is shown that for any θ -angle the elimination of the pure gauge degrees of freedom leads to a corresponding unconstrained non-local theory of self-interacting second rank symmetric tensor fields, and that the obtained classical unconstrained gluodynamics with different θ -angles are canonically equivalent as on the original constrained level.