paper

Group averaging, positive definiteness and superselection sectors

arXiv:gr-qc/0512076 · doi:10.1088/1742-6596/33/1/013

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.

9 pages, uses jpconf. Talk given at the Fourth Meeting on Constrained Dynamics and Quantum Gravity (Cala Gonone, Sardinia, Italy, 12--16 September 2005)

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