PIRSA:17050074

How fundamental is the Immirzi parameter in Loop Quantum Gravity?

Livine, E. (2017). How fundamental is the Immirzi parameter in Loop Quantum Gravity?. Perimeter Institute. https://pirsa.org/17050074

Livine, Etera. How fundamental is the Immirzi parameter in Loop Quantum Gravity?. Perimeter Institute, May. 11, 2017, https://pirsa.org/17050074 

          @misc{ pirsa_PIRSA:17050074,
            doi = {10.48660/17050074},
            url = {https://pirsa.org/17050074},
            author = {Livine, Etera},
            keywords = {Quantum Gravity},
            language = {en},
            title = {How fundamental is the Immirzi parameter in Loop Quantum Gravity?},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {may},
            note = {PIRSA:17050074 see, \url{https://pirsa.org}}
          }

Etera Livine

French National Centre for Scientific Research (CNRS)

Talk number
PIRSA:17050074
Collection
Talk Type
Subject
Abstract

I will discuss the role(s) of the Immirzi parameter in Loop Quantum Gravity, insisting on the Poisson algebra formed by Thiemann's complexifier, the volume and the Hamiltonian constraint. In particular, we will see how loop quantum cosmology is a direct quantization of this CVH Poisson algebra and how cosmological evolution amounts to a flow in the Immirzi parameter.