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Gauge reduction with respect to simplicity constraint in all dimensional loop quantum gravity [PDF]

open access: yesPhysical Review D, 2022
In this paper, we are going to discuss the gauge reduction with respect to the simplicity constraint in both classical and quantum theory of all dimensional loop quantum gravity.
Gaoping Long, Xiangdong Zhang
semanticscholar   +1 more source

The kinematical Hilbert space of loop quantum gravity from BF theories [PDF]

open access: greenClassical and Quantum Gravity, 2011
In this work, it is demonstrated how the kinematical Hilbert space of Loop Quantum Gravity (LQG) can be inferred from the configuration space of BF theories via the imposition of the Hamiltonian constraints. In particular, it is outlined how the projection to the representations associated with Ashtekar-Barbero connections provides the correct ...
Francesco Cianfrani
openalex   +4 more sources

Causal structure of a recent loop quantum gravity black hole collapse model [PDF]

open access: yesPhysical Review D, 2021
The causal structure of the recent loop quantum gravity black hole collapse model [1] is analysed. As the spacetime is only approximately diffeomorphism invariant up to powers of $\hbar$, it is not straight forwardly possible to find global conformally ...
Johannes Münch
semanticscholar   +1 more source

Twisted geometry coherent states in all dimensional loop quantum gravity: Construction and peakedness properties [PDF]

open access: yesPhysical Review D, 2021
A new family of coherent states for all dimensional loop quantum gravity are proposed, which is based on the generalized twisted geometry parametrization of the phase space of $SO(D+1)$ connection theory.
Gaoping Long   +2 more
semanticscholar   +1 more source

Symmetry-reduced Loop Quantum Gravity: Plane Waves, Flat Space and the Hamiltonian Constraint [PDF]

open access: greenClassical and Quantum Gravity
Abstract Loop quantum gravity (LQG) methods are applied to a symmetry-reduced model with homogeneity in two dimensions, derived from a Gowdy model. The conditions for the propagation of unidirectional plane gravitational waves at exactly the speed of light are set up in the form of two null Killing equations in terms of Ashtekar ...
Franz Hinterleitner
openalex   +4 more sources

Loop quantum gravity’s boundary maps [PDF]

open access: yesClassical and quantum gravity, 2021
In canonical quantum gravity, the presence of spatial boundaries naturally leads to boundary quantum states, representing quantum boundary conditions for the bulk fields.
Qiang Chen, E. Livine
semanticscholar   +1 more source

Constraining the loop quantum gravity parameter space from phenomenology

open access: diamondPhysics Letters B, 2018
Development of quantum gravity theories rarely takes inputs from experimental physics. In this letter, we take a small step towards correcting this by establishing a paradigm for incorporating putative quantum corrections, arising from canonical quantum gravity (QG) theories, in deriving \textit{falsifiable} modified dispersion relations (MDRs) for ...
Suddhasattwa Brahma, Michele Ronco
openalex   +4 more sources

Superposition type coherent states in all dimensional loop quantum gravity [PDF]

open access: yesPhysical Review D, 2021
We propose a new kind of coherent state for the general $SO(D+1)$ formulation of loop quantum gravity in the $(1+D)$-dimensional space-time. Instead of Thiemann's coherent state for $SO(D+1)$ gauge theory, our coherent spin-network state is given by ...
Gaoping Long   +2 more
semanticscholar   +1 more source

Primordial regular black holes as all the dark matter. II. Non-time-radial-symmetric and loop quantum gravity-inspired metrics [PDF]

open access: yesPhysical Review D
It is a common belief that a theory of quantum gravity should ultimately cure curvature singularities which are inevitable within General Relativity, and plague for instance the Schwarzschild and Kerr metrics, usually considered as prototypes for ...
Marco Calzà   +2 more
semanticscholar   +1 more source

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