Many-worlds, Schroedinger, Heisenberg pictures

[atyy]

I've usually heard the many-worlds interpretation described in the Schroedinger picture, in which the wave function evolves unitarily. Does a Heisenberg picture exist for many-worlds, or is the Schroedinger picture more fundamental in that interpretation?

 

[Demystifier]

In the many-world interpretation of non-relativistic QM, the Schrödinger picture is certainly more fundamental than the Heisenberg one.
But this is not really so in canonical quantum gravity, where the two pictures are identical.

 

[atyy]

In the many-world interpretation of non-relativistic QM, the Schrödinger picture is certainly more fundamental than the Heisenberg one.
But this is not really so in canonical quantum gravity, where the two pictures are identical.

Because there is no time evolution in canonical quantum gravity (time evolution is a gauge transformation)?

 

[Demystifier]

Because there is no time evolution in canonical quantum gravity (time evolution is a gauge transformation)?

Yes.

 

[atyy]

How about relativistic QFT? Or do you think MWI doesn't satisfactorily address that, because MWI seems to pick a preferred foliation?

Also, how about canonical quantum gravity in AdS? I think canonical quantum gravity in AdS has time evolution (I think the Hamiltonian is not zero because of the AdS boundary condition, which is one of the reasons AdS/CFT is possible, since the bulk inherits its time evolution from the boundary CFT).

 

[Demystifier]

How about relativistic QFT?

In relativistic QFT Heisenberg and Schrödinger pictures are different, so Schrödinger picture is the preferred one for MWI.

The question of relativistic covariance is a separate issue. It can be made covariant by using many-time formalism.