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Group averaging, positive definiteness and superselection sectors

Jorma Louko

gr-qcarXiv:gr-qc/0512076

Abstract

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.

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