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Canonical Quantum Gravity, Constructive QFT, and Renormalisation [PDF]
Frontiers 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
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The Dynamical Evolution Parameter in Manifestly Covariant Quantum Gravity Theory [PDF]
EntropyA remarkable feature of manifestly covariant quantum gravity theory (CQG-theory) is represented by its unconstrained Hamiltonian structure expressed in evolution form.
Claudio Cremaschini
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Asymptotically safe — canonical quantum gravity junction
Journal of High Energy PhysicsThe 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
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A length operator for canonical quantum gravity [PDF]
Journal of Mathematical Physics, 1998 We construct an operator that measures the length of a curve in four-dimensional Lorentzian vacuum quantum gravity. We work in a representation in which an SU(2) connection is diagonal and it is therefore surprising that the operator obtained after regularization is densely defined, does not suffer from factor ordering singularities, and does not ...
Thiemann T
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Asymptotic safety and canonical quantum gravity
International Journal of Modern Physics AIn 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
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Canonical Quantum Gravity and the Problem of Time
, 1993 125 pages of LaTeX ...
Isham C J, C J Isham
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Are there ALPs in the asymptotically safe landscape?
Journal of High Energy Physics, 2022 We investigate axion-like particles (ALPs) in the context of asymptotically safe gravity-matter systems. The ALP-photon interaction, which facilitates experimental searches for ALPs, is a dimension-5-operator.
Gustavo P. de Brito +2 more
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Universe, 2022 Time in quantum gravity is not a well-defined notion despite its central role in the very definition of dynamics. Using the formalism of quantum geometrodynamics, we briefly review the problem and illustrate it with two proposed solutions.
Claus Kiefer, Patrick Peter
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Detecting deformed commutators with exceptional points in optomechanical sensors
New Journal of Physics, 2021 Models of quantum gravity imply a modification of the canonical position-momentum commutation relations. In this paper, working with a binary mechanical system, we examine the effect of quantum gravity on the exceptional points of the system.
Dianzhen Cui +3 more
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Physics Letters B, 2023 A new class of modified gravity theories, made possible by subtle features of the canonical formulation of general covariance, naturally allows MOND-like behavior (MOdified Newtonian Dynamics) in effective space-time solutions without introducing new ...
Martin Bojowald, Erick I. Duque
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