Higher time derivatives in effective equations of canonical quantum systems
TLDR
In this article, a general anharmonic oscillator is derived for quantum gravity and cosmology systems, and detailed derivations are presented for systems in quantum physics and quantum computer vision.Abstract:
Quantum-corrected equations of motion generically contain higher time derivatives, computed here in the setting of canonically quantized systems. The main example in which detailed derivations are presented is a general anharmonic oscillator, but conclusions can be drawn also for systems in quantum gravity and cosmology.read more
Citations
More filters
Journal ArticleDOI
Quantum cosmology: a review
TL;DR: This review presents quantum cosmology in a new picture that tries to incorporate the importance of inhomogeneity in a close relationship with more-established systems in condensed-matter and particle physics even while the large set of space-time symmetries requires some adaptations and new developments.
Journal ArticleDOI
Anomaly-free cosmological perturbations in effective canonical quantum gravity
TL;DR: In this paper, a complete framework for an effective theory of cosmological perturbations with corrections from canonical quantum gravity is presented, together with new treatments of higher-order perturbation and the specification of initial states.
Journal ArticleDOI
Quantum cosmology: a review
TL;DR: In quantum cosmology, the dynamics are formulated in terms of the interplay of many interacting "microscopic" degrees of freedom that describe the space-time geometry as discussed by the authors.
Journal ArticleDOI
Quantum cosmology: effective theory
TL;DR: In this article, the authors present a framework of quantum cosmology, taking into account, among other things, space-time structures, covariance, the problem of time and the anomaly issue.
Journal ArticleDOI
Deformed General Relativity
Martin Bojowald,George M. Paily +1 more
TL;DR: Deformed special relativity is embedded in deformed general relativity using the methods of canonical relativity and loop quantum gravity as mentioned in this paper, which in some regimes can be rewritten as nonlinear Poincar\'e algebras with momentum-dependent deformations of commutators between boosts and time translations.
References
More filters
Journal ArticleDOI
Loop Quantum Cosmology
TL;DR: In this paper, an application of loop quantum cosmology to homogeneous systems, which removes classical singularities, is presented, where the main effects are introduced into effective classical equations, which allow one to avoid the interpretational problems of quantum theory.
Journal ArticleDOI
Towards Singularity- and Ghost-Free Theories of Gravity
TL;DR: This work presents the most general covariant ghost-free gravitational action in a Minkowski vacuum and includes a large class of nonlocal actions with improved UV behavior, which nevertheless recover Einstein's general relativity in the IR.
Posted Content
Introduction to 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.
Journal ArticleDOI
The classical limit for quantum mechanical correlation functions
TL;DR: For quantum systems of finitely many particles as well as for boson quantum field theories, the classical limit of the expectation values of products of Weyl operators, translated in time by the quantum mechanical Hamiltonian and taken in coherent states centered inx-andp-space around −1/2 (coordinates of a point in classical phase space) are shown to become the exponentials of coordinate functions of the classical orbit in phase space.
Journal ArticleDOI
Bouncing universes in string-inspired gravity
TL;DR: In this paper, the effects on cosmology of higher-derivative modifications of (effective) gravity that make it asymptotically free without introducing ghosts are considered.
Related Papers (5)
Deformed General Relativity and Effective Actions from Loop Quantum Gravity
Martin Bojowald,George M. Paily +1 more