Talk by Suzanne Lanery

Speaker: Suzanne Lanery, Friedrich Alexander Universitaet, Erlangen.
Title: Extending the phase space of loop quantum gravity
Date: Monday December 1st
Time: 3pm
Place: Room 241 Nicholson

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 symmetry reduced models from full LQG.