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Loop Quantum Gravity [PDF]

Living Reviews in Relativity, 2008
The problem of describing the quantum behavior of gravity, and thus understanding quantum spacetime, is still open. Loop quantum gravity is a well-developed approach to this problem. It is a mathematically well-defined background-independent quantization
Rovelli Carlo
doaj   +11 more sources

The volume operator in covariant quantum gravity [PDF]

Classical and Quantum Gravity, 2010
A covariant spin-foam formulation of quantum gravity has been recently developed, characterized by a kinematics which appears to match well the one of canonical loop quantum gravity.
Alexandrov S, Ashtekar A, Ashtekar A, Ashtekar A, Ashtekar A Campiglia M Henderson A, Baez J C, Barrett J W, Battisti M V Marciano A Rovelli C, Bianchi E Rovelli C Vidotto F, Carlo Rovelli, Engle J, Flori C, Flori C Thiemann T, Freidel L, Iwasaki J, Livine E, Noui K, Oriti D, Pereira R, Perez A, Reisenberger M P, Reisenberger M P, Reisenberger M P, Reisenberger M P, Rovelli C, Rovelli C, Rovelli C, Rovelli C Vidotto F, Smolin L, Thiemann T, You Ding   +30 more
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Relativistic Planck-scale polymer

Physics Letters B, 2017
Polymer quantum mechanics has been studied as a simplified picture that reflects some of the key properties of Loop Quantum Gravity; however, while the fate of relativistic symmetries in Loop Quantum Gravity is still not established, it is usually ...
Giovanni Amelino-Camelia, Michele Arzano, Malú Maira Da Silva, Daniel H. Orozco-Borunda   +3 more
doaj   +4 more sources

Testing the Master Constraint Programme for Loop Quantum Gravity V. Interacting Field Theories [PDF]

, 2004
This is the final fifth paper in our series of five in which we test the Master Constraint Programme for solving the Hamiltonian constraint in Loop Quantum Gravity.
Ashtekar A, Ashtekar A, Ashtekar A, B Dittrich, Brunnemann J Thiemann T, Dittrich B, Dittrich B, Dittrich B, Dittrich B, Gel'fand I M, Giulini D, Giulini D, Kempf A, Klauder J, Marsden J E, Okolow A Lewandowski J, Reed M, Rovelli C, Rovelli C, Sahlmann H, Sahlmann H, Sahlmann H, Sahlmann H, Sahlmann H Thiemann T, Sahlmann H Thiemann T, Smolin L, T Thiemann, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Thiemann T, Thiemann T   +43 more
core   +3 more sources

Loop Quantum Gravity

Living Reviews in Relativity, 1998
The problem of finding the quantum theory of the gravitational field, and thus understanding what is quantum spacetime, is still open. One of the most active of the current approaches is loop quantum gravity. Loop quantum gravity is a mathematically well-
Rovelli Carlo
doaj   +1 more source

Perturbatively exact w 1+∞ asymptotic symmetry of quantum self-dual gravity

Journal of High Energy Physics, 2022
The infinite tower of positive-helicity soft gravitons in any minimally coupled, tree-level, asymptotically flat four-dimensional (4D) gravity was recently shown to generate a w 1+∞ asymptotic symmetry algebra. It is natural to ask whether this classical
Adam Ball, Sruthi A. Narayanan, Jakob Salzer, Andrew Strominger   +3 more
doaj   +1 more source

Does the Loop Quantum μ_o Scheme Permit Black Hole Formation?

Universe, 2021
We explore the way different loop quantization prescriptions affect the formation of trapped surfaces in the gravitational collapse of a homogeneous dust cloud, with particular emphasis on the so-called μo scheme in which loop quantum cosmology was ...
Bao-Fei Li, Parampreet Singh
doaj   +1 more source

Loop Quantum Black Hole Extensions Within the Improved Dynamics

Frontiers in Astronomy and Space Sciences, 2021
We continue our investigation of an improved quantization scheme for spherically symmetric loop quantum gravity. We find that in the region where the black hole singularity appears in the classical theory, the quantum theory contains semi-classical ...
Rodolfo Gambini, Javier Olmedo, Jorge Pullin   +2 more
doaj   +1 more source

Realization of Dirac quantization in loop quantum gravity

Physics Letters B, 2023
The system of gravity coupled to the non-rotational dust field is studied at both classical and quantum levels. The scalar constraint of the system can be written in the form of a true physical Hamiltonian with respect to the dust time.
Xiangdong Zhang, Yongge Ma
doaj   +1 more source

A Covariant Polymerized Scalar Field in Semi-Classical Loop Quantum Gravity

Universe, 2022
We propose a new polymerization scheme for scalar fields coupled to gravity. It has the advantage of being a (non-bijective) canonical transformation of the fields, and therefore ensures the covariance of the theory.
Rodolfo Gambini, Florencia Benítez, Jorge Pullin   +2 more
doaj   +1 more source