Modern Canonical Quantum General Relativity

By Claus Kiefer. 2008

1,291 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/3e65fdc4a59343192f4a5ee2645d1f861df72841

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Citations in the corpus

Palatini Approach to Modified Gravity: f(R) Theories and Beyond (2011, background): “This fact suggests a new step aimed at simplifying the structure of (13) and (14).”
Homogeneous cosmologies as group field theory condensates (2013, methodology): “Most notably, recent work in loop quantum gravity [27] aims at deriving cosmological dynamics from LQG using cubulations of space.”
Minimal Length Scale Scenarios for Quantum Gravity (2012, background): “For technical details, the interested reader is referred to the more specialized reviews [42, 304, 305, 229, 118].”
Improved and Perfect Actions in Discrete Gravity (2009, background): “It also is connected to many obstacles for quantizing the theory [5,8,17,18].”
Robustness of key features of loop quantum cosmology (2007, methodology): “[28] J. Lewandowski, A. Okolow, H. Sahlmann and T. Thiemann, Uniqueness of diffeomorphism invariant states on holonomy flux algebras, Comm. Math.”
Hybrid quantum Gowdy cosmology: Combining loop and Fock quantizations (2008, methodology): “In order to quantize the densitized Hamiltonian constraint of the model, let us first focus on Bianchi I. LQG techniques provide the (nondensitized) quantum Hamiltonian constraint ĈBI for Bianchi I in terms of the elementary operators p̂i and N̂µi [5, 17, 18].”
The continuum limit of loop quantum gravity - a framework for solving the theory (2014, background): “A strategy [9, 1] to construct physical states, known as refined algebraic quantization, is by ‘projecting’ kinematical states via a so–called rigging map η : Dkin → D phys.”
Zakopane lectures on loop gravity (2011, background): “The natural definition of the dynamics in the hamiltonian framework is in terms of a hamiltonian constraint operator [4].”
Inflationary Cosmology in Modified Gravity Theories (2015, methodology): “Particularly, we consider inflation (i) derived by modification terms of gravity [26]; (ii) through the quantum anomaly [27]; and (iii) in R gravity in the framework of the so-called loop quantum cosmology (LQC) [29–33] to include quantum effects [28] (for reviews on LQC, see, for example, [34–40]).”
Polyhedra in loop quantum gravity (2010, background): “In order to admit a lifting from HΓ to the full Hilbert space of LQG, the operator V̂Γ(R) has to satisfy a number of consistency conditions that go under the name of “cylindrical consistency” [52].”
Black hole entropy from the SU(2)-invariant formulation of type I isolated horizons (2010, background): “Using a well known property of the spin connection [23], and denoting by θ0(δ) the term in parenthesis in the previous equation, we have Θ0(δ) ≡ ∫”
From black holes to white holes: a quantum gravitational, symmetric bounce (2017, unknown): “In the full theory, the limit in which the area enclosed by these loops goes to zero can be taken [57].”
The Spin-Foam Approach to Quantum Gravity (2012, background): “The reader interested in the canonical formulation of general relativity in terms of connection variables is referred to the text books [315, 353, 20] and the review article [31].”
Problem of time in quantum gravity (2010, methodology): “A Quantum Spin Dynamics version [103] and the Master Constraint program [113, 15] (also known as the ‘Phoenix project’) have been developed since.”
Bimetric renormalization group flows in quantum Einstein gravity (2010, background): “This requirement is central in loop quantum gravity [1, 2, 3] and also implemented in lattice approaches towards quantum gravity [4][7].”
On the architecture of spacetime geometry (2012, background): “Spin Foam Models: In ‘loop quantum gravity’, a smooth macroscopic geometry is expected to emerge from a description of space and spacetime which is discrete at a fundamental level [37].”