Quantum field theory on a cosmological, quantum space-time

Abstract

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.

19 pages, no figures; A reference and footnote added, PACs and minor typos corrected; a significant technical clarification added to section IV.A; minor typos corrected; two references added

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Cited by in corpus (94)

• Loop Quantum Cosmology: A Status Report
• The pre-inflationary dynamics of loop quantum cosmology: Confronting quantum gravity with observations
• A Quantum Gravity Extension of the Inflationary Scenario
• An Extension of the Quantum Theory of Cosmological Perturbations to the Planck Era
• Probability of Inflation in Loop Quantum Cosmology
• Hybrid quantization of an inflationary universe
• Loop quantum cosmology: From pre-inflationary dynamics to observations
• Covariance in models of loop quantum gravity: Spherical symmetry
• Pre-inflationary universe in loop quantum cosmology
• Detailed analysis of the predictions of loop quantum cosmology for the primordial power spectra
• Observational issues in loop quantum cosmology
• Anomaly-free cosmological perturbations in effective canonical quantum gravity
• Cosmic recall and the scattering picture of Loop Quantum Cosmology
• Hybrid quantization of an inflationary model: The flat case
• Numerical evolution of squeezed and non-Gaussian states in loop quantum cosmology
• Quantum Gravity in the Sky: Interplay between fundamental theory and observations
• Some implications of signature-change in cosmological models of loop quantum gravity
• Testing loop quantum cosmology
• Phenomenological investigation of a quantum gravity extension of inflation with the Starobinsky potential
• Comparison of primordial tensor power spectra from the deformed algebra and dressed metric approaches in loop quantum cosmology
• Hypersurface-deformation algebroids and effective space-time models
• Prescriptions in Loop Quantum Cosmology: A comparative analysis
• Time in quantum physics: From an external parameter to an intrinsic observable
• Primordial scalar power spectrum from the Euclidean Big Bounce
• Generalized effective description of loop quantum cosmology
• Uniqueness of the Fock quantization of scalar fields in spatially flat cosmological spacetimes
• Hybrid Loop Quantum Cosmology: An Overview
• The Observational Implications of Loop Quantum Cosmology
• Inflation with the Starobinsky potential in Loop Quantum Cosmology
• Lattice loop quantum cosmology: scalar perturbations
• Rainbow metric from quantum gravity
• Primordial power spectrum from the Dapor-Liegener model of loop quantum cosmology
• Inflation in the closed FLRW model and the CMB
• Pre-inflationary dynamics in loop quantum cosmology: Power-law potentials
• Spherically symmetric sector of self dual Ashtekar gravity coupled to matter: Anomaly-free algebra of constraints with holonomy corrections
• Non-Gaussianity in Loop Quantum Cosmology
• Primordial power spectrum from the dressed metric approach in loop cosmologies
• Observational effects from quantum cosmology
• Phenomenology with fluctuating quantum geometries in loop quantum cosmology
• Hawking radiation from a spherical loop quantum gravity black hole
• Multiple choices of time in quantum cosmology
• Inflationary spectra with inverse-volume corrections in loop quantum cosmology and their observational constraints from Planck 2015 data
• Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
• Non-covariance of the dressed-metric approach in loop quantum cosmology
• Preinflationary dynamics of $\alpha -$attractor in loop quantum cosmology
• Non-oscillating power spectra in Loop Quantum Cosmology
• Single particle in quantum gravity and Braunstein-Ghosh-Severini entropy of a spin network
• Some conceptual issues in loop quantum cosmology
• Study of the Inflationary Spectrum in the Presence of Quantum Gravity Corrections
• Observational Constraints on Warm Inflation in Loop Quantum Cosmology
• Uniqueness of the Fock quantization of scalar fields under mode preserving canonical transformations varying in time
• Does inflation squeeze cosmological perturbations?
• Propagation of quantum gravity-modified gravitational waves on a classical FLRW spacetime
• Predictions for the CMB from an anisotropic quantum bounce
• QFT on quantum spacetime: a compatible classical framework
• Inflation from non-minimally coupled scalar field in loop quantum cosmology
• Lorentz Symmetry in QFT on Quantum Bianchi I Space-Time
• Loop Quantum Cosmology
• Rainbow Oppenheimer-Snyder collapse and the entanglement entropy production
• Rainbow Black Hole From Quantum Gravitational Collapse
• Dressed metric predictions revisited
• Dynamics of primordial fields in quantum cosmological spacetimes
• Revisiting pre-inflationary universe of family of $\alpha -$attractor in loop quantum cosmology
• Effective Field Theory of Loop Quantum Cosmology
• Loop quantum cosmology: relation between theory and observations
• A first step towards the inflationary trans-planckian problem treatment in Loop Quantum Cosmology
• Symmetry Reduced Loop Quantum Gravity: A Bird's Eye View
• Alleviation of anomalies from the non-oscillatory vacuum in loop quantum cosmology
• Primordial gravitational waves in a quantum model of big bounce
• Gravitational Particle Production in Loop Quantum Cosmology
• Inflationary power spectra with quantum holonomy corrections
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Quantum theory of electromagnetic fields in a cosmological quantum spacetime
• Phenomenology of effective geometries from quantum gravity
• Quantum conformal symmetries for spacetimes in superposition
• Gravitational Particle Production and the Validity of Effective Descriptions in Loop Quantum Cosmology
• Born--Oppenheimer decomposition for quantum fields on quantum spacetimes
• Holographic signatures of resolved cosmological singularities
• Hawking radiation from an analogue bouncing geometry
• What do gravitational wave detectors say about polymer quantum effects?
• Rainbow metric from quantum gravity: anisotropic cosmology
• Matter in Loop Quantum Gravity
• Metric emerging to massive modes in quantum cosmological space-times
• Non-Gaussianities as a Signature of Quantumness of Quantum Cosmology
• Loop Quantum Gravity and the The Planck Regime of Cosmology
• Quantum entanglement and non-Gaussianity in the primordial Universe
• Exact path integrals on half-line in quantum cosmology with a fluid clock and aspects of operator ordering ambiguity
• Analyzing quantum gravity spillover in the semiclassical regime
• Quantum Cauchy Surfaces in Canonical Quantum Gravity
• Regularization of the cosmological sector of loop quantum gravity with bosonic matter and the related problems with general covariance of quantum corrections
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• Imprints of the operator ordering ambiguity on the dynamics of perfect fluid dominated quantum universe
• Space-like Singularities of General Relativity: A Phantom menace?
• Non-oscillating vacuum states and the quantum homogeneity and isotropy hypothesis in Loop Quantum Cosmology