Revisiting loop quantum gravity with selfdual variables: Hilbert space and first reality condition [PDF]
Classical and Quantum Gravity, 2023 We consider the quantization of gravity as an SL(2,C) gauge theory in terms of Ashtekar’s selfdual variables and reality conditions for the spatial metric (RCI) and its evolution (RCII). We start from a holomorphic phase space formulation.
Hanno Sahlmann, Robert Seeger
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A Fock space structure for the diffeomorphism invariant Hilbert space of loop quantum gravity and its applications [PDF]
Classical and Quantum Gravity, 2023 Loop quantum gravity (LQG) is a quantization program for gravity based on the principles of QFT and general covariance of general relativity. Quantum states of LQG describe gravitational excitations based on graphs embedded in a spatial slice of ...
Hanno Sahlmann, Waleed Sherif
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One-loop effective action and emergent gravity on quantum spaces in the IKKT matrix model [PDF]
Journal of High Energy Physics, 2023 A detailed derivation of 3 + 1 dimensional induced or emergent gravity in the IKKT matrix model at one loop is given, as announced in [1]. The mechanism requires a brane configuration with structure M3,1×K⊂ℝ9,1\documentclass[12pt]{minimal} \usepackage ...
Harold Steinacker
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Space and Time in Loop Quantum Gravity [PDF]
Beyond Spacetime, 2020 Quantum gravity is expected to require modifications of the notions of space and time. I discuss and clarify how this happens in Loop Quantum Gravity. (Contribution to the volume "Beyond Spacetime: The Philosophical Foundations of Quantum Gravity" edited
Carlo Rovelli +2 more
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Geometric parametrization of
Physical Review D, 2021 To clarify the geometric information encoded in the $SO(D+1)$ spin-network states for the higher dimensional loop quantum gravity, we generalize the twisted-geometry parametrization of the $SU(2)$ phase space for $(1+3)$ dimensional loop quantum gravity ...
Gaoping Long, Chun-Yen Lin
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Semiclassical limit of new path integral formulation from reduced phase space loop quantum gravity [PDF]
Physical Review D, 2020 Recently, a new path integral formulation of Loop Quantum Gravity (LQG) has been derived in arXiv:1910.03763 from the reduced phase space formulation of the canonical LQG. This paper focuses on the semiclassical analysis of this path integral formulation.
Muxin Han, Hongguang Liu
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Keeping matter in the loop in dS3 quantum gravity [PDF]
Journal of High Energy Physics, 2023 We propose a mechanism that couples matter fields to three-dimensional de Sitter quantum gravity. Our construction is based on the Chern-Simons formulation of three-dimensional Euclidean gravity, and it centers on a collection of Wilson loops winding ...
A. Castro +3 more
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Smooth extensions of black holes in loop quantum gravity [PDF]
International Journal of Modern Physics D, 2023 Vacuum spherically symmetric loop quantum gravity in the midi-superspace approximation using inhomogeneous horizon-penetrating slices has been studied for a decade, and it has been noted that the singularity is eliminated.
R. Gambini, Javier Olmedo, J. Pullin
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Quantization of spherically symmetric loop quantum gravity coupled to a scalar field and a clock: the asymptotic limit [PDF]
Classical and quantum gravity, 2023 We continue our work on the study of spherically symmetric loop quantum gravity coupled to two spherically symmetric scalar fields, one which acts as a clock. As a consequence of the presence of the latter, we can define a true Hamiltonian for the theory.
R. Gambini, J. Pullin
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Loop quantum gravity of a spherically symmetric scalar field coupled to gravity with a clock [PDF]
Classical and quantum gravity, 2023 The inclusion of matter fields in spherically symmetric loop quantum gravity has proved problematic at the level of implementing the constraint algebra including the Hamiltonian constraint.
R. Gambini, J. Pullin
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