Quantum gravity poses the problem of merging quantum mechanics and general relativity,
the two great conceptual revolutions in the physics of the twentieth century. The loop and …

We argue that existing methods for the perturbative computation of anomalous dimensions
and the disentanglement of mixing in N= 4 gauge theory can be considerably simplified …

Canonical methods are a powerful mathematical tool within the field of gravitational
research, both theoretical and experimental, and have contributed to a number of recent …

Abstract Quantum General Relativity (QGR), sometimes called Loop Quantum Gravity, has
matured over the past fifteen years to a mathematically rigorous candidate quantum field …

This volume provides a self-contained introduction to applications of loop representations,
and the related topic of knot theory, in particle physics and quantum gravity. These topics are …

In this paper we outline a rather general construction of diffeomorphism covariant coherent
states for quantum gauge theories. By this we mean states ψ (A, E), labelled by a point (A, E) …

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 title …

In this paper we apply the methods outlined in the previous paper of this series to the
particular set of states obtained by choosing the complexifier to be a Laplace operator for …

In the preceding paper of this series of articles we established peakedness properties of a
family of coherent states that were introduced by Hall for any compact gauge group and …

Loop quantum gravity (LQG)[1–3] has become a serious competitor to string theory as a
candidate theory of quantum gravity. Its popularity is steadily growing because it has …