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Path Integrals and the WKB approximation in Loop Quantum Cosmology

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arxiv 1011.1024 v1 pith:UL2VOVQD submitted 2010-11-03 gr-qc

Abhay Ashtekar , Miguel Campiglia , Adam Henderson This is my paper · ORCID
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keywords pathquantumapproximationcosmologyloopdifferencesintegralspace
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We follow the Feynman procedure to obtain a path integral formulation of loop quantum cosmology starting from the Hilbert space framework. Quantum geometry effects modify the weight associated with each path so that the effective measure on the space of paths is different from that used in the Wheeler-DeWitt theory. These differences introduce some conceptual subtleties in arriving at the WKB approximation. But the approximation is well defined and provides intuition for the differences between loop quantum cosmology and the Wheeler-DeWitt theory from a path integral perspective.

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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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