Anyone here familiar with the ADM formalism? Are the canonical momenta in QFT the same as the canonical momenta in ADM or do the latter refer exclusively to the gravitational field?
>quantum gravitykek
>>16857118No retards in my thread, please. This is basic Hamiltonian mechanics, no quantization.
>>16857142>ADM is basic hamiltonian mechanicsLOL. the schizophrenia is strong
>>16857145ADM is literally just the Hamiltonian reformulation of GR. It's used in canonical quantum gravity, no shit. Canonical quantization requires a classical field Hamiltonian as the first step. That's like saying[eqn]H = \frac{1}{2m} p^2 + V[/eqn]is quantum mechanics. Please leave.
>>16857147>reformulation of GR>canonical quantum gravitymeds. now.
>>16857152Get the fuck out, retard.
>>16857154i accept your concession.
>>16856824familiar enough to know it's useless in the spacetime we actually inhabitkindly fuck off?
>>16856824I am familiar.Canonical momenta in QFT are operators. In the classical limit they are functions. The classical canonical momenta in adm are a subset of possible canonical field momentas
>>16857571Feel free to ask more questions!
>>16857571I guess I should have been more specific. What I mean is if they behave similarly with regards to eg causality conditions and other field-theoretic stuff. In QFT fields and canonical momentum fields "live" on the manifold, but is that also true for ADM momenta? They're conjugate to the metric, which is intrinsic to the Riemannian manifold itself rather than something that "lives on it".
