Path Integrals and the WKB approximation in Loop Quantum Cosmology
General Relativity and Quantum Cosmology
2011-01-25 v1
Abstract
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.
Cite
@article{arxiv.1011.1024,
title = {Path Integrals and the WKB approximation in Loop Quantum Cosmology},
author = {Abhay Ashtekar and Miguel Campiglia and Adam Henderson},
journal= {arXiv preprint arXiv:1011.1024},
year = {2011}
}
Comments
21 pages, 4 figures