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 \(\theta\)-angle. It is shown that for any \(\theta\)-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 \(\theta\)-angles are canonically equivalent as on the original constrained level.
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Received: 16 November 2001 / Published online: 5 April 2002
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Khvedelidze, A., Mladenov, D., Pavel, HP. et al. On unconstrained SU(2) gluodynamics with theta angle. Eur. Phys. J. C 24, 137–141 (2002). https://doi.org/10.1007/s100520200913
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DOI: https://doi.org/10.1007/s100520200913