299 citations · 385 across the 4 of their papers we have counts for
4 papers
Semiclassical analysis of the Loop Quantum Gravity volume operator: I. Flux Coherent States
C. Flori, T. Thiemann
The volume operator plays a pivotal role for the quantum dynamics of Loop Quantum Gravity (LQG), both in the full theory and in truncated models adapted to cosmological situations…
Uniqueness of diffeomorphism invariant states on holonomy-flux algebras
Jerzy Lewandowski, Andrzej Okolow, Hanno Sahlmann +1
Loop quantum gravity is an approach to quantum gravity that starts from the Hamiltonian formulation in terms of a connection and its canonical conjugate. Quantization proceeds in t…
On the superselection theory of the Weyl algebra for diffeomorphism invariant quantum gauge theories
Hanno Sahlmann, Thomas Thiemann
Much of the work in loop quantum gravity and quantum geometry rests on a mathematically rigorous integration theory on spaces of distributional connections. Most notably, a diffeom…
Coherent State Transforms for Spaces of Connections
Abhay Ashtekar, Jerzy Lewandowski, Donald Marolf +2
The Segal-Bargmann transform plays an important role in quantum theories of linear fields. Recently, Hall obtained a non-linear analog of this transform for quantum mechanics on Li…