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Inequivalent Canonical Quantizations in Quantum Gravity [PDF]
Progress of Theoretical Physics, 1984 Summary: It is explicitly shown in quantum gravity that given a Lagrangian density up to a total divergence, the equal-time commutators between field operators can depend on the choice of canonical variables. It is shown, however, that canonical quantizations which do not reproduce the equal-time commutators of the manifestly covariant canonical ...
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Constraining the loop quantum gravity parameter space from phenomenology
Physics 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 ...
Suddhasattwa Brahma, Michele Ronco
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Three principles for canonical quantum gravity [PDF]
Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gambini, Rodolfo, Pullin, Jorge
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No fermion doubling in quantum geometry
Physics Letters B, 2015 In loop quantum gravity the discrete nature of quantum geometry acts as a natural regulator for matter theories. Studies of quantum field theory in quantum space–times in spherical symmetry in the canonical approach have shown that the main effect of the
Rodolfo Gambini, Jorge Pullin
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Quantum Big-Bounce as a phenomenology of RQM in the Mini-superspace
Physics Letters BWe investigate the emergence of a quantum Big-Bounce in the context of an isotropic Universe, filled by a self-interacting scalar field, which plays the role of a physical clock. The bouncing cosmology is the result of a scattering process, driven by the
Simone Lo Franco, Giovanni Montani
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Quantum imploding scalar fields [PDF]
Royal Society Open Science, 2018 The d’Alembertian □ϕ = 0 has the solution ϕ = f(v)/r, where f is a function of a null coordinate v, and this allows creation of a divergent singularity out of nothing.
Mark D. Roberts
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Spin Foams and Canonical Quantization
Symmetry, Integrability and Geometry: Methods and Applications, 2012 This review is devoted to the analysis of the mutual consistency of the spin foam and canonical loop quantizations in three and four spacetime dimensions.
Sergei Alexandrov +2 more
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On Characterizing the Quantum Geometry Underlying Asymptotic Safety
Frontiers in Physics, 2020 The asymptotic safety program builds on a high-energy completion of gravity based on the Reuter fixed point, a non-trivial fixed point of the gravitational renormalization group flow. At this fixed point the canonical mass-dimension of coupling constants
Aleksandr Kurov, Frank Saueressig
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Closed formula for the matrix elements of the volume operator in canonical quantum gravity [PDF]
, 1996 We derive a closed formula for the matrix elements of the volume operator for canonical Lorentzian quantum gravity in four space–time dimensions in the continuum in a spin-network basis.
T. Thiemann
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Intersecting Quantum Gravity with Noncommutative Geometry - a Review
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We review applications of noncommutative geometry in canonical quantum gravity. First, we show that the framework of loop quantum gravity includes natural noncommutative structures which have, hitherto, not been explored.
Johannes Aastrup +1 more
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