PIRSA:23040132

On the computation of Poisson brackets in field theories

Barbero, F. (2023). On the computation of Poisson brackets in field theories. Perimeter Institute. https://pirsa.org/23040132

Barbero, Fernando. On the computation of Poisson brackets in field theories. Perimeter Institute, Apr. 20, 2023, https://pirsa.org/23040132 

          @misc{ pirsa_PIRSA:23040132,
            doi = {10.48660/23040132},
            url = {https://pirsa.org/23040132},
            author = {Barbero, Fernando},
            keywords = {Quantum Gravity},
            language = {en},
            title = {On the computation of Poisson brackets in field theories},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {apr},
            note = {PIRSA:23040132 see, \url{https://pirsa.org}}
          }

Fernando Barbero

Spanish National Research Council (CSIC)

Talk number
PIRSA:23040132
Collection
Talk Type
Subject
Abstract

I will discuss several issues related to the computation of Poisson brackets in field theories. I will show that by choosing appropriate functional spaces as configuration manifolds, it is possible to avoid the use of distributions. This is relevant, for instance, in the context of Loop Quantum Gravity, where the basic holonomy/flux variables play a central role. I will illustrate the main ideas by using simple examples based on Sobolev spaces.

Zoom link:  https://pitp.zoom.us/j/92794475242?pwd=T2Fjbk1lTXRCNnBxVDZabnJqWlAzUT09