Eur. Phys. J. C 24, 137-141 (2002)
https://doi.org/10.1007/s100520200913

On unconstrained SU(2) gluodynamics with theta angle

¹ 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

Received: 16 November 2001
Published online: 5 April 2002

Abstract

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.