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

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

2011-10-14

arxiv.org/abs/1110.3164v1

Physics

Mathematical Physics

17 pages

Scientific paper

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.

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