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Group averaging, positive definiteness and superselection sectors

Jorma Louko
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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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Jorma Louko. 2005-12-13. Group averaging, positive definiteness and superselection sectors. https://doi.org/10.1088/1742-6596%2F33%2F1%2F013

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