4 papers
Introduction to Modern Canonical Quantum General Relativity
Thomas Thiemann
This is an introduction to the by now fifteen years old research field of canonical quantum general relativity, sometimes called "loop quantum gravity". The term "modern" in the ti…
Canonical quantization of a minisuperspace model for gravity using self-dual variables
T. Thiemann
The present article summarizes the work of the papers \cite{1} dealing with the quantization of pure gravity and gravity coupled to a Maxwell field and a cosmological constant in p…
A Manifestly Gauge-Invariant Approach to Quantum Theories of Gauge Fields
A. Ashtekar, J. Lewandowski, D. Marolf +2
In gauge theories, physical histories are represented by space-time connections modulo gauge transformations. The space of histories is thus intrinsically non-linear. The standard…
A completely solvable model with an infinite number of Dirac observables for a real sector of complexified Ashtekar gravity
T. Thiemann
We introduce a reduced model for a real sector of complexified Ashtekar gravity that does not correspond to a subset of Einstein's gravity but for which the programme of canonical…