Group averaging, positive definiteness and superselection sectors
General Relativity and Quantum Cosmology
2015-06-25 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.gr-qc/0512076,
title = {Group averaging, positive definiteness and superselection sectors},
author = {Jorma Louko},
journal= {arXiv preprint arXiv:gr-qc/0512076},
year = {2015}
}
Comments
9 pages, uses jpconf. Talk given at the Fourth Meeting on Constrained Dynamics and Quantum Gravity (Cala Gonone, Sardinia, Italy, 12--16 September 2005)