PIRSA:24100072

The Quantum Mechanics of Spherically Symmetric Causal Diamonds

He, T. (2024). The Quantum Mechanics of Spherically Symmetric Causal Diamonds. Perimeter Institute. https://pirsa.org/24100072

He, Temple. The Quantum Mechanics of Spherically Symmetric Causal Diamonds. Perimeter Institute, Oct. 01, 2024, https://pirsa.org/24100072 

          @misc{ pirsa_PIRSA:24100072,
            doi = {10.48660/24100072},
            url = {https://pirsa.org/24100072},
            author = {He, Temple},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {The Quantum Mechanics of Spherically Symmetric Causal Diamonds},
            publisher = {Perimeter Institute},
            year = {2024},
            month = {oct},
            note = {PIRSA:24100072 see, \url{https://pirsa.org}}
          }

Temple He California Institute of Technology (Caltech)

Talk numberPIRSA:24100072
DOI10.48660/24100072
Collection
Talk Type Scientific Series
Subject

Abstract

We construct the phase space of a spherically symmetric causal diamond in (d+2)-dimensional Minkowski spacetime. Utilizing the covariant phase space formalism, we identify the relevant degrees of freedom that localize to the d-dimensional bifurcate horizon and, upon canonical quantization, determine their commutators. On this phase space, we find two Iyer-Wald charges. The first of these charges, proportional to the area of the causal diamond, is responsible for shifting the null time along the horizon and has been well-documented in the literature. The second charge is much less understood, being integrable for d ≥ 2 only if we allow for field-dependent diffeomorphisms and is responsible for changing the size of the causal diamond.