PIRSA:24010084

Extended Phase Space: Constraints, Charges and Conditional Expectations

Leigh, R. (2024). Extended Phase Space: Constraints, Charges and Conditional Expectations. Perimeter Institute. https://pirsa.org/24010084

Leigh, Rob. Extended Phase Space: Constraints, Charges and Conditional Expectations. Perimeter Institute, Jan. 18, 2024, https://pirsa.org/24010084 

          @misc{ pirsa_PIRSA:24010084,
            doi = {10.48660/24010084},
            url = {https://pirsa.org/24010084},
            author = {Leigh, Rob},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Extended Phase Space: Constraints, Charges and Conditional Expectations},
            publisher = {Perimeter Institute},
            year = {2024},
            month = {jan},
            note = {PIRSA:24010084 see, \url{https://pirsa.org}}
          }

Rob Leigh University of Illinois Urbana-Champaign

DOI 10.48660/24010084
Collection
Talk Type Scientific Series
Subject

Abstract

 

I’ll give a review of extended phase space in gauge theories and/or diffeomorphism-invariant theories, beginning with its original conception up to our most recent work. The primary focus in a classical theory is on the proper representation of symmetries and gauge symmetries on phase space. Correspondingly, this is understood in the quantum theory through the crossed product construction and conditional expectation. I’ll discuss several examples.

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