PIRSA:24010084 Scientific Series Quantum Gravity

DOI10.48660/24010084

Series: Quantum Gravity

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}}
}

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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