856 citations · 1.9k across the 5 of their papers we have counts for
5 papers
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…
Quantum Theory of Gravity I: Area Operators
Abhay Ashtekar, Jerzy Lewandowski
A new functional calculus, developed recently for a fully non-perturbative treatment of quantum gravity, is used to begin a systematic construction of a quantum theory of geometry.…
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…
Differential Geometry on the Space of Connections via Graphs and Projective Limits
Abhay Ashtekar, Jerzy Lewandowski
In a quantum mechanical treatment of gauge theories (including general relativity), one is led to consider a certain completion, $\agb$, of the space $\ag$ of gauge equivalent conn…
Projective Techniques and Functional Integration
Abhay Ashtekar, Jerzy Lewandowski
A general framework for integration over certain infinite dimensional spaces is first developed using projective limits of a projective family of compact Hausdorff spaces. The proc…