Interpreting Dirac variables in terms of the Hilbert space of gauge-invariant and Poincare-covariant states

Abstract

The goal of this note is to give a description of Dirac variables in Abelian as well as non-Abelian gauge models in terms of gauge-invariant and Poincare-covariant states sweeping a Hilbert space ${\cal H}_{\rm vac}$. The next our conjecture concerns the spontaneous breakdown of the Abelian U(1) symmetry in the 'discrete' $U(1)\to {\bf Z}$ wise. We suppose that gauge charges are preserved in this case.