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Path Integrals and Alternative Effective Dynamics in Loop Quantum Cosmology

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arxiv 1206.1131 v1 pith:7OE7Q2WI submitted 2012-06-06 gr-qc

Li Qin , Guo Deng , Yongge Ma This is my paper · ORCID
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keywords quantumalternativelooppathcosmologyderiveddynamicseffective
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The alternative dynamics of loop quantum cosmology is examined by the path integral formulation. We consider the spatially flat FRW models with a massless scalar field, where the alternative quantization inherit more features from full loop quantum gravity. The path integrals can be formulated in both timeless and deparameterized frameworks. It turns out that the effective Hamiltonians derived from the two different viewpoints are equivalent to each other. Moreover, the first-order modified Friedmann equations are derived and predict quantum bounces for contracting universe, which coincide with those obtained in canonical theory.

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  1. Unitary evolution and cosmic acceleration in Loop Quantum Cosmology

    gr-qc 2024-12 conditional novelty 5.0 of 10

    For any weight parameter in the improved-dynamics LQC Hamiltonian, negative weights give essentially self-adjoint operators, while positive weights require U(1)-labeled self-adjoint extensions, which the paper impleme...

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