PIRSA:21010013

Video URL

https://pirsa.org/21010013

Peierls bracket and gravitational dressing in Jackiw-Teitelboim gravity

Wu, J. (2021). Peierls bracket and gravitational dressing in Jackiw-Teitelboim gravity . Perimeter Institute for Theoretical Physics. https://pirsa.org/21010013

Wu, Ji-Qiang. Peierls bracket and gravitational dressing in Jackiw-Teitelboim gravity . Perimeter Institute for Theoretical Physics, Jan. 19, 2021, https://pirsa.org/21010013 

          @misc{ scivideos_PIRSA:21010013,
            doi = {10.48660/21010013},
            url = {https://pirsa.org/21010013},
            author = {Wu, Ji-Qiang},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Peierls bracket and gravitational dressing in Jackiw-Teitelboim gravity },
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2021},
            month = {jan},
            note = {PIRSA:21010013 see, \url{https://scivideos.org/index.php/pirsa/21010013}}
          }

Ji-Qiang Wu University of California, Santa Barbara

Talk numberPIRSA:21010013
DOI10.48660/21010013
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

How to deal with diffeomorphism symmetries is one of the difficult problems in general relativity. Because of the diffeomorphism symmetries, we need to consider diffeomorphism invariant operators and gravitational dressing. In this work, we consider a special gravitational dressing which is to locate the operator by shooting geodesic from the spatial boundary. We try to use Peierls bracket to study the commutator between this gravitational dressing operator and the ADM energy operator. We found the ADM energy increase/decrease when the extra created out-going particle is in front of/behind the event horizon. Our result strengthens the Marolf-Polchinski firewall argument in some sense. 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 the ADM energy operator.