Group averaging, positive definiteness and superselection sectors
classification
🌀 gr-qc
hep-thmath-phmath.MP
keywords
groupaveragingsectorssuperselectionaddresscaseconstrainedconvergence
read the original 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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