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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
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Testing the Master Constraint Programme for Loop Quantum Gravity V. Interacting Field Theories [PDF]
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 +43 more
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Relativistic Planck-scale polymer
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 +3 more
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Extended Loop Quantum Gravity [PDF]
We discuss constraint structure of extended theories of gravitation (also known as f(R) theories) in the vacuum selfdual formulation introduced in ref.
Bojowald M +10 more
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Perturbatively exact w 1+∞ asymptotic symmetry of quantum self-dual gravity
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 +3 more
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Does the Loop Quantum μo Scheme Permit Black Hole Formation?
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
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Loop Quantum Black Hole Extensions Within the Improved Dynamics
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 +2 more
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Realization of Dirac quantization in loop quantum gravity
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
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A Covariant Polymerized Scalar Field in Semi-Classical Loop Quantum Gravity
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 +2 more
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Loop quantum gravity and cosmological constant
A one-parameter regularization freedom of the Hamiltonian constraint for loop quantum gravity is analyzed. The corresponding spatially flat, homogenous and isotropic model includes the two well-known models of loop quantum cosmology as special cases. The
Xiangdong Zhang, Gaoping Long, Yongge Ma
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