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Group averaging, positive definiteness and superselection sectors

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arxiv gr-qc/0512076 v1 pith:6CNRXXZL submitted 2005-12-13 gr-qc hep-thmath-phmath.MP

classification gr-qchep-thmath-phmath.MP
keywords groupaveragingsectorssuperselectionaddresscaseconstrainedconvergence
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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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  1. Quantum geometry from higher gauge theory

    gr-qc 2019-08 conditional novelty 7.0 of 10

    The BFCG-Yetter model and the KBF state sum produce the same single-4-simplex amplitude when evaluated on boundary states called G-networks.

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