Speaker: | Dr. Jorma Louko
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Title: |
Group averaging, positive definiteness and superselection sectors |
Abstract: |
I discuss recent work on constructing gauge invariant quantum states in constrained Hamiltonian systems by averaging noninvariant states over the gauge group. Focussing on specific systems with a finite-dimensional phase space, I address convergence of the averaging for a noncompact gauge group, indefiniteness of the prospective physical inner product and the emergence of superselection sectors. These issues present technical challenges to developing group averaging towards background-independent theories such as general relativity.
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Talk: |
Transparencies, Recorded Talk
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