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Canonical Quantum Gravity, Constructive QFT, and Renormalisation [PDF]

open access: yesFrontiers in Physics, 2020
The canonical approach to quantum gravity has been put on a firm mathematical foundation in the recent decades. Even the quantum dynamics can be rigorously defined, however, due to the tremendously non-polynomial character of the gravitational ...
Thomas Thiemann
doaj   +5 more sources

Asymptotically safe — canonical quantum gravity junction

open access: yesJournal of High Energy Physics
The canonical (CQG) and asymptotically safe (ASQG) approach to quantum gravity share to be both non-perturbative programmes. However, apart from that they seem to differ in several aspects such as: 1.
T. Thiemann
doaj   +4 more sources

Modifications to gravitational wave equation from canonical quantum gravity [PDF]

open access: yesEuropean Physical Journal C: Particles and Fields, 2020
It is expected that the quantum nature of spacetime leaves its imprint in all semiclassical gravitational systems, at least in certain regimes, including gravitational waves.
Andrea Dapor, Klaus Liegener
doaj   +2 more sources

Relating spin-foam to canonical loop quantum gravity by graphical calculus [PDF]

open access: greenPhysical Review D, 2021
The graphical calculus method is generalized to study the relation between covariant and canonical dynamics of loop quantum gravity. On one hand, a graphical derivation of the partition function of the generalized Euclidean Engle-Pereira-Rovelli-Livine ...
Jinsong Yang, Cong Zhang, Yongge Ma
semanticscholar   +3 more sources

The Dynamical Evolution Parameter in Manifestly Covariant Quantum Gravity Theory [PDF]

open access: yesEntropy
A remarkable feature of manifestly covariant quantum gravity theory (CQG-theory) is represented by its unconstrained Hamiltonian structure expressed in evolution form.
Claudio Cremaschini
doaj   +2 more sources

Fermion coupling to loop quantum gravity: Canonical formulation [PDF]

open access: yesPhysical Review D, 2021
In the model of a fermion field coupled to loop quantum gravity, we consider the Gauss and the Hamiltonian constraints. According to the explicit solutions to the Gauss constraint, the fermion spins and the gravitational spin networks intertwine with ...
J. Lewandowski, Cong Zhang
semanticscholar   +3 more sources

Canonical Quantum Gravity on Noncommutative Spacetime [PDF]

open access: yesInternational Journal of Modern Physics A, 2014
In this paper canonical quantum gravity on noncommutative space-time is considered. The corresponding generalized classical theory is formulated by using the moyal star product, which enables the representation of the field quantities depending on ...
M. Kober
semanticscholar   +5 more sources

Spherically symmetric canonical quantum gravity [PDF]

open access: yesPhysical Review D, 2014
Canonical quantization of spherically symmetric space-times is carried out, using real-valued densitized triads and extrinsic curvature components, with specific factor ordering choices ensuring in an anomaly free quantum constraint algebra.
Suddhasattwa Brahma
semanticscholar   +4 more sources

COSMOLOGICAL ISSUES FOR REVISED CANONICAL QUANTUM GRAVITY [PDF]

open access: greenInternational Journal of Modern Physics D, 2003
In a recent work1 we presented a reformulation of the canonical quantum gravity, based on adding the so-called kinematical term to the gravity-matter action. This revised approach leads to a self-consistent canonical quantization of the 3-geometries, which referred to the external time as provided via the added term. Here, we show how the kinematical
Giovanni Montani
openalex   +5 more sources

Asymptotic safety and canonical quantum gravity [PDF]

open access: greenInternational Journal of Modern Physics A
In the context of gravity the Lagrangian and Hamiltonian formalisms have been developed largely independently, emphasizing renormalization and quantization, respectively. The formalisms use a different methodology to distinguish between gauge and physical degrees of freedom.
Renata Ferrero
openalex   +3 more sources

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