PIRSA:22100027

Hamiltonian Gauge Theory With Corners II: memory as superselection in null YM theory

APA

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

MLA

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

BibTex

          @misc{ 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}}
          }
          

Aldo Riello Perimeter Institute for Theoretical Physics

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.