PIRSA:12020096

Continuous Formulation of the Loop Quantum Gravity Phase Space

Ziprick, J. (2012). Continuous Formulation of the Loop Quantum Gravity Phase Space. Perimeter Institute. https://pirsa.org/12020096

Ziprick, Jonathan. Continuous Formulation of the Loop Quantum Gravity Phase Space. Perimeter Institute, Feb. 01, 2012, https://pirsa.org/12020096 

          @misc{ pirsa_PIRSA:12020096,
            doi = {10.48660/12020096},
            url = {https://pirsa.org/12020096},
            author = {Ziprick, Jonathan},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Continuous Formulation of the Loop Quantum Gravity Phase Space},
            publisher = {Perimeter Institute},
            year = {2012},
            month = {feb},
            note = {PIRSA:12020096 see, \url{https://pirsa.org}}
          }

Jonathan Ziprick Red River College - Notre Dame (MB)

DOI 10.48660/12020096
Collection
Talk Type Scientific Series
Subject

Abstract

We relate the discrete classical phase space of loop gravity to the continuous phase space of general relativity. Our construction shows that the flux variables do not label a unique geometry, but rather a class of gauge-equivalent geometries. We resolve the tension between the loop gravity geometrical interpretation in terms of singular geometry, and the spin foam interpretation in terms of piecewise-flat geometry, showing that both geometries belong to the same equivalence class. We also establish a clear relationship between Regge geometries and the piecewise-flat spin foam geometries. All of this is based on arXiv:1110.4833.