(Seminar) Peierls bracket and gravitational dressing in Jackiw-Teitelboim gravity

CAS Key Laboratory of Theoretical Physics

Institute of Theoretical Physics

Chinese Academy of Sciences

Seminar

Title

题目

Peierls bracket and gravitational dressing in Jackiw-Teitelboim gravity

Speaker

报告人

吴洁强

Affiliation

所在单位

MIT

Date

日期

2:00pm, Dec 23, 2020, Wednesday

Venue

地点

ITP South Building 6620

Contact Person

所内联系人

Gang Yang

Abstract

摘要

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 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 ADM energy operator.
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