New Developments in the Spectral Asymptotics of Quantum Gravity
Abstract
A vanishing one-loop wave function of the Universe in the limit of small three-geometry is found, on imposing diffeomorphism-invariant boundary conditions on the Euclidean 4-ball in the de Donder gauge. This result suggests a quantum avoidance of the cosmological singularity driven by full diffeomorphism invariance of the boundary-value problem for one-loop quantum theory. All of this is made possible by a peculiar spectral cancellation on the Euclidean 4-ball, here derived and discussed.
Cite
@article{arxiv.hep-th/0508016,
title = {New Developments in the Spectral Asymptotics of Quantum Gravity},
author = {Giampiero Esposito and Guglielmo Fucci and Alexander Yu. Kamenshchik and Klaus Kirsten},
journal= {arXiv preprint arXiv:hep-th/0508016},
year = {2009}
}
Comments
7 pages, latex file. Paper prepared for the Conference "QFEXT05: Quantum Field Theory Under the Influence of External Conditions", Barcelona, September 5 - September 9, 2005. In the final version, the presentation has been further improved, and yet other References have been added