Spin-foam model for gravity coupled to massless scalar field
TLDR
In this paper, a spin-foam model is derived from the canonical model of Loop Quantum Gravity coupled to a massless scalar field, and generalized to the full theory of loop quantum cosmology by Ashtekar, Campiglia and Henderson, later developed by Henderson, Rovelli, Vidotto and Wilson-Ewing.Abstract:
A spin-foam model is derived from the canonical model of Loop Quantum Gravity coupled to a massless scalar field. We generalized to the full theory the scheme first proposed in the context of Loop Quantum Cosmology by Ashtekar, Campiglia and Henderson, later developed by Henderson, Rovelli, Vidotto and Wilson-Ewing.read more
Citations
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LQG vertex with finite Immirzi parameter
TL;DR: In this article, the authors extend the definition of the flipped loop-quantum-gravity vertex to the case of a finite Immirzi parameter, and show that the resulting dynamics is defined on a Hilbert space isomorphic to the one of loop quantum gravity.
Journal ArticleDOI
Effective dynamics from coherent state path integral of full loop quantum gravity
TL;DR: In this paper, a new routine is proposed to relate loop quantum cosmology to loop quantum gravity from the perspective of effective dynamics, which is obtained in the framework of reduced phase space quantization of LQG.
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Emergent four-dimensional linearized gravity from a spin foam model
TL;DR: In this article, the perturbations of Spin Foam Models (SFMs) on a flat background were studied and it was shown that smooth curved spacetime geometries satisfying the Einstein equation can emerge from discrete SFMs under an appropriate low energy limit, which corresponds to a semiclassical limit of SFMs.
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Quantum gravity states, entanglement graphs and second-quantized tensor networks
TL;DR: In this article, a correspondence between the quantum information formalism of tensor networks (TN) generalised to a second-quantized framework, and group field theory (GFT) states is established, and discrete spatial manifolds arise as entanglement patterns among quanta of space.
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Semiclassical limit of new path integral formulation from reduced phase space loop quantum gravity
Muxin Han,Hongguang Liu +1 more
TL;DR: In this article, a path integral formulation of loop quantum gravity (LQG) has been derived from the reduced phase space formulation of the canonical LQG, where the dominant contributions of the path integral come from solutions of semiclassical equations of motion (EOMs).
References
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Journal ArticleDOI
Background independent quantum gravity: A Status report
TL;DR: Loop quantum gravity as discussed by the authors is a background-independent, non-perturbative approach to the problem of unification of general relativity and quantum physics, based on a quantum theory of geometry.
Book
Modern Canonical Quantum General Relativity
TL;DR: The field of Canonical Quantum General Relation (CQGR) as mentioned in this paper is an attempt to define a mathematically rigorous, non-perturbative, background independent theory of Lorentzian quantum gravity in four spacetime dimensions in the continuum.
Book
Analysis of Operators
Michael C. Reed,Barry Simon +1 more
TL;DR: This revision will make this book mroe attractive as a textbook in functional analysis and reinforce its well-established use as a course book in mathemtical physics.
Journal ArticleDOI
Relativistic spin networks and quantum gravity
John W. Barrett,Louis Crane +1 more
TL;DR: In this article, a four-dimensional state sum model for quantum gravity based on relativistic spin networks that parallels the construction of three-dimensional quantum gravity from ordinary spin networks was proposed.