Effective Scenario of Loop Quantum Cosmology

Abstract

Semiclassical states in isotropic loop quantum cosmology are employed to show that the improved dynamics has the correct classical limit. The effective Hamiltonian for the quantum cosmological model with a massless scalar field is thus obtained, which incorporates also the next to leading order quantum corrections. The possibility that the higher order correction terms may lead to significant departure from the leading order effective scenario is revealed. If the semiclassicality of the model is maintained in the large scale limit, there are great possibilities for $k=0$ Friedmann expanding universe to undergo a collapse in the future due to the quantum gravity effect. Thus the quantum bounce and collapse may contribute a cyclic universe in the new scenario.

4 pages, 2 figures; version published in PRL

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Cited by in corpus (43)

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• Introduction to Loop Quantum Cosmology
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• Further Improvements in the Understanding of Isotropic Loop Quantum Cosmology
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• Loop quantum Brans-Dicke cosmology
• Dark Energy Interacting with Dark Matter in Classical Einstein and Loop Quantum Cosmology
• Bouncing evolution in a model of loop quantum gravity
• Inverse volume corrections to emergent tachyonic inflation in loop quantum cosmology
• Coherent State Functional Integral in Loop Quantum Cosmology: Alternative Dynamics
• Path Integrals and Alternative Effective Dynamics in Loop Quantum Cosmology
• Higher dimensional Loop Quantum Cosmology
• Anomaly freedom in perturbative models of Euclidean loop quantum gravity
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• Coherent State Functional Integrals in Quantum Cosmology
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• Bouncing universe from a modified dispersion relation
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• Creation of particles in a cyclic universe driven by loop quantum cosmology
• Factor ordering and large-volume dynamics in quantum cosmology
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• Alternative dynamics in loop quantum Brans-Dicke cosmology
• Loop quantum modified gravity and its cosmological application
• Anomaly freedom of the vector modes with holonomy corrections in perturbative Euclidean loop quantum gravity
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• Loop quantum cosmology from an alternative Hamiltonian
• Gravitational waves with generalized holonomy corrections
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• Covariant effective spacetimes of spherically symmetric electrovacuum with a cosmological constant
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• Alternative $k=-1$ loop quantum cosmology
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• Connection Dynamics of Reduced 5-dimensional Kaluza-Klein Theory and Its Deparametrization
• Effective Dynamics of Loop Quantum Kaluza-Klein Cosmology
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