PIRSA:22050061

Symplectic formulation of the covariant phase space with boundaries

APA

Margalef-Bentabol, J. (2022). Symplectic formulation of the covariant phase space with boundaries. Perimeter Institute. https://pirsa.org/22050061

MLA

Margalef-Bentabol, Juan. Symplectic formulation of the covariant phase space with boundaries. Perimeter Institute, May. 31, 2022, https://pirsa.org/22050061

BibTex

          @misc{ pirsa_22050061,
            doi = {10.48660/22050061},
            url = {https://pirsa.org/22050061},
            author = {Margalef-Bentabol, Juan},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Symplectic formulation of the covariant phase space with boundaries},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {may},
            note = {PIRSA:22050061 see, \url{https://pirsa.org}}
          }
          

Juan Margalef-Bentabol Memorial University of Newfoundland

Abstract

There are two different standard ways of endowing a physical theory with a symplectic structure: the canonical and the covariant. The former is derived from the well-known symplectic structure of a certain cotangent bundle. The latter is based on the variational calculus. Including a boundary in the canonical formalism poses no problem, however, in the covariant formalism things break apart. In this talk, I will briefly introduce both formalisms without boundary and explain in detail a new framework that allows us to include boundaries in a straightforward way. To show it in action, time permitting, I will apply it to several theories of gravity. Finally, I will briefly show a new result where we proved that, actually, the canonical and covariant formalisms are equivalent in full generality.

Zoom Link: https://pitp.zoom.us/j/97641588140?pwd=dFl0SFdHOG5BYko2djNVWk11UkhSUT09