On unconstrained SU(2) gluodynamics with theta angle
Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia
2 Department of Theoretical Physics, A. Razmadze Mathematical Institute, 380093 Tbilisi, Georgia
3 Fachbereich Physik der Universität Rostock, 18051 Rostock, Germany
Published online: 5 April 2002
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.
© Società Italiana di Fisica, Springer-Verlag, 2002