PIRSA:12050073

On a partially Reduced Phase Space Quantisation of General Relativity Conformally Coupled to a Scalar Field

Stottmeister, A. (2012). On a partially Reduced Phase Space Quantisation of General Relativity Conformally Coupled to a Scalar Field. Perimeter Institute. https://pirsa.org/12050073

Stottmeister, Alexander. On a partially Reduced Phase Space Quantisation of General Relativity Conformally Coupled to a Scalar Field. Perimeter Institute, May. 12, 2012, https://pirsa.org/12050073 

          @misc{ pirsa_PIRSA:12050073,
            doi = {10.48660/12050073},
            url = {https://pirsa.org/12050073},
            author = {Stottmeister, Alexander},
            keywords = {},
            language = {en},
            title = {On a partially Reduced Phase Space Quantisation of General Relativity Conformally Coupled to a Scalar Field},
            publisher = {Perimeter Institute},
            year = {2012},
            month = {may},
            note = {PIRSA:12050073 see, \url{https://pirsa.org}}
          }

Alexander Stottmeister

University of Erlangen-Nuremberg

Talk number
PIRSA:12050073
Collection
Talk Type
Abstract
We comment on a certain partially reduced phase space quantisation of general relativity conformally coupled to a scalar field, and its extension to standard model matter fields. The partially reduced phase space is reached by trading the Hamiltonian constraint for the generator of local conformal transformations on all phase space variables, inspired by the ideas of shape dynamics, and constructing conformally invariant connection variables. Furthermore, we review this trading of symmetries from the gauge fixing/unfixing perspective, which is dual to the concept of a linking theory. Finally we point out possible applications and open problems.