Group averaging, positive definiteness and superselection sectors

Dec, 2005

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Abstract: (arXiv)
I discuss group averaging as a method for quantising constrained systems whose gauge group is a noncompact Lie group. Focussing on three case studies, I address the convergence of the averaging, possible indefiniteness of the prospective physical inner product and the emergence of superselection sectors.
Note:
  • 9 pages, uses jpconf. Talk given at the Fourth Meeting on Constrained Dynamics and Quantum Gravity (Cala Gonone, Sardinia, Italy, 12--16 September 2005)