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Jie-qiang Wu (MIT)
Slides: Jie-qiang-Wu
Zoom: https://us02web.zoom.us/j/9383671691
Title: Peierls bracket and gravitational dressing in Jackiw-Teitelboim gravity
Abstract: How to deal with diffeomorphism symmetries is one of the difficult problem in general relativity. Because of the diffeomorphism symmetries, we need to consider diffeomorphism invariant operators and gravitational dressing. In this work, we try to use Peierls bracket to study the commutator between the gravitational dressing operator and the ADM energy operator. Our result also strengthens the Marolf-Polchinski firewall argument.
In the talk, I will first briefly review the Peierls bracket, which is a linear response interpretation of bracket computation in covariant phase space formalism. We also illustrate the Peierls bracket with several examples. After that, we use Peierls bracket to study the Hamiltonian flow of the gravitational dressing operator, from which we can read out the commutator between the gravitational dressing operator with ADM energy operator.