Semiclassical states, effective dynamics, and classical emergence in loop 
quantum cosmology

Singh, Parampreet; Vandersloot, Kevin

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学術論文

Semiclassical states, effective dynamics, and classical emergence in loop quantum cosmology

MPS-Authors

Vandersloot, Kevin
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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72_084004.pdf
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引用

Singh, P., & Vandersloot, K. (2005). Semiclassical states, effective dynamics, and classical emergence in loop quantum cosmology. Physical Review D, 72(8):.

引用: https://hdl.handle.net/11858/00-001M-0000-0013-4DCC-A

要旨

We construct physical semiclassical states annihilated by the Hamiltonian constraint operator in the framework of loop quantum cosmology as a method of systematically determining the regime and validity of the semiclassical limit of the quantum theory. Our results indicate that the evolution can be effectively described using continuous classical equations of motion with nonperturbative corrections down to near the Planck scale below which the Universe can only be described by the discrete quantum constraint. These results, for the first time, provide concrete evidence of the emergence of classicality in loop quantum cosmology and also clearly demarcate the domain of validity of different effective theories. We prove the validity of modified Friedmann dynamics incorporating discrete quantum geometry effects which can lead to various new phenomenological applications. Furthermore the understanding of semiclassical states allows for a framework for interpreting the quantum wave functions and understanding questions of a semiclassical nature within the quantum theory of loop quantum cosmology.