Group averaging, positive definiteness and superselection sectors

Details Group averaging, positive definiteness and superselection sectors Group averaging, positive definiteness and superselection sectors

2005-12-13

arxiv.org/abs/gr-qc/0512076v1

J.Phys.Conf.Ser. 33 (2006) 142-149

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, uses jpconf. Talk given at the Fourth Meeting on Constrained Dynamics and Quantum Gravity (Cala Gonone, Sardinia, Ita

Scientific paper

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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