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Quantum field theory on a cosmological, quantum space-time
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Quantum field theory on a cosmological, quantum space-time
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In loop quantum cosmology, Friedmann-LeMaitre-Robertson-Walker (FLRW) space-times arise as well-defined approximations to specific \emph{quantum} geometries. We initiate the development of a quantum theory of test scalar fields on these quantum geometries. Emphasis is on the new conceptual ingredients required in the transition from classical space-time backgrounds to quantum space-times. These include a `relational time' a la Leibnitz, the emergence of the Hamiltonian operator of the test field from the quantum constraint equation, and ramifications of the quantum fluctuations of the background geometry on the resulting dynamics. The familiar quantum field theory on classical FLRW models arises as a well-defined reduction of this more fundamental theory.
Forward citations
Cited by 2 Pith papers
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Prism Effect in Quantum Gravity
Electromagnetic backreaction on quantum geometry in LQC makes the photon group velocity mode-dependent and subluminal, a 'prism effect' that vanishes at low energies.
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Prism Effect in Quantum Gravity
Extended Born-Oppenheimer coupling of the EM field to quantum geometry yields chromatic dispersion of light—a prism effect proposed as an all-energy quantum-gravity probe on a quantum FLRW background.
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