PIRSA:14120011

Extending the state space of LQG

Lanery, S. (2014). Extending the state space of LQG. Perimeter Institute. https://pirsa.org/14120011

Lanery, Suzanne. Extending the state space of LQG. Perimeter Institute, Dec. 10, 2014, https://pirsa.org/14120011 

          @misc{ pirsa_PIRSA:14120011,
            doi = {10.48660/14120011},
            url = {https://pirsa.org/14120011},
            author = {Lanery, Suzanne},
            keywords = {Quantum Gravity},
            language = {en},
            title = {Extending the state space of LQG},
            publisher = {Perimeter Institute},
            year = {2014},
            month = {dec},
            note = {PIRSA:14120011 see, \url{https://pirsa.org}}
          }

Suzanne Lanery Universidad Nacional Autónoma De Mexico (UNAM)

DOI 10.48660/14120011
Collection
Talk Type Scientific Series
Subject

Abstract

Instead of formulating the state space of a quantum field theory over a single big Hilbert space, it has been proposed by Jerzy Kijowski to describe quantum states as projective families of density matrices over a collection of smaller, simpler Hilbert spaces. I will discuss the physical motivations for this approach and explain how it can be implemented in the context of LQG. While the resulting state space forms a natural extension of the Ashtekar-Lewandowski Hilbert space, it treats position and momentum variables on equal footing. This paves the way for the construction of semi-classical states beyond fixed graph level, and eventually for the derivation of LQC from full LQG.