PIRSA:22100027 Conference Quantum Gravity

DOI10.48660/22100027

Conference/School: Quantum Gravity Around the Corner

Riello, A. (2022). Hamiltonian Gauge Theory With Corners II: memory as superselection in null YM theory. Perimeter Institute. https://pirsa.org/22100027

Riello, Aldo. Hamiltonian Gauge Theory With Corners II: memory as superselection in null YM theory. Perimeter Institute, Oct. 07, 2022, https://pirsa.org/22100027 

@misc{ pirsa_PIRSA:22100027,
  doi = {10.48660/22100027},
  url = {https://pirsa.org/22100027},
  author = {Riello, Aldo},
  keywords = {Quantum Gravity},
  language = {en},
  title = {Hamiltonian Gauge Theory With Corners II: memory as superselection in null YM theory},
  publisher = {Perimeter Institute},
  year = {2022},
  month = {oct},
  note = {PIRSA:22100027 see, \url{https://pirsa.org}}
}

Abstract

On Tuesday, M. Schiavina laid out the theoretical framework for the symplectic reduction of gauge theories in the presence of corners. In this talk I will apply this theoretical framework to Yang-Mills theory on a null boundary and show how a pair of soft charges controls the residual (corner) gauge symmetry after the first-stage symplectic reduction, and therefore the superselection structure of the theory after the second-stage symplectic reduction. I will also discuss the subtleties of the gauge A_u = 0, the interpretation of electromagnetic memory as superselection, and how the nonlinear structure of the non-Abelian theory complicates this picture.

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