Analysis of the Wheeler-DeWitt Equation beyond Planck Scale and Dimensional Reduction
High Energy Physics - Theory
2010-11-01 v1 General Relativity and Quantum Cosmology
Abstract
We solve the Wheeler-DeWitt equation for {\it four}-dimensional Einstein gravity as an expansion in powers of the Planck mass by means of a heat kernel regularization. Our results suggest that in the universe with a very small radius or with a very large curvature beyond a Planck scale expectation values of operators are reduced to calculations in a path integral representation of {\it three}-dimensional Einstein gravity.
Keywords
Cite
@article{arxiv.hep-th/9409152,
title = {Analysis of the Wheeler-DeWitt Equation beyond Planck Scale and Dimensional Reduction},
author = {T. Horiguchi and K. Maeda and M. Sakmaoto},
journal= {arXiv preprint arXiv:hep-th/9409152},
year = {2010}
}
Comments
9 pages, latex file, KOBE-TH-94-04