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seen Oct 10 '13 at 1:32

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Oct
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comment Path integral and geometric quantization
My point was that one often uses arguments motivated by a path integral construction in theories like Chern-Simons theory, and it is mysterious to me how these can be connected to the finite Hilbert space, yet they seem to agree. At the rigorous level, it is difficult to make sense of the path integral, while the Hilbert space is perfectly well-defined, but I'm even just looking for a non-rigorous argument how they are connected.
Oct
26
comment Path integral and geometric quantization
I'd appreciate any kind of answer that could be provided. I don't need an especially high level of rigor, but of course I wouldn't mind such an answer.
Oct
26
asked Path integral and geometric quantization
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asked Instantons, anomalies, and 1-loop effects
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comment precise definition of “moduli space”
Thanks for the answer. So let me see if I understand. A point in moduli space is associated to certain superselection sectors, which in turn are classically associated to the asymptotic values of the fields. In some of these sectors there is a vacuum state (annihilated by the poincare generators), with excitations above it described by the effective theory about that point in moduli space. Perturbatively, one finds a saddle point with the given asymptotic behavior and quantizes perturbations around it. Still a little confused about what the superselection sectors are quantum mechanically.
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asked precise definition of “moduli space”
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asked Renormalization scheme independence of beta function