Unconstrained hamiltonian formulation of SU(2) gluodynamics - art. no. 105017

SU(2) Yang-Mills field theory is considered in the framework of the general ized Hamiltonian approach and the equivalent unconstrained system is obtain ed using the method of Hamiltonian reduction. A canonical transformation to a set of adapted coordinates is performed in terms of which the Abelianiza tion of the Gauss law constraints is trivialized and the pure gauge degrees of freedom drop out from the Hamiltonian after projection onto the constra int shell. For the remaining gauge invariant fields two representations are introduced where the three fields which transform as scalars under spatial rotations are separated from the three rotational fields. An effective low energy nonlinear sigma model type Lagrangian is derived which out of the s ix physical fields involves only one of the three scalar fields and two rot ational fields summarized in a unit vector. Its possible relation to the ef fective Lagrangian proposed recently by Faddeev and Niemi is discussed. Fin ally the unconstrained analog of the well-known nonnormalizable ground stat e wave functional which solves the Schrodinger equation with zero energy is given and analyzed in the strong coupling limit. [S0556-2821(99)01310-7].