Modified Dispersion Relations and Noncommutative Geometry lead to a finite Zero Point Energy
Abstract
We compute Zero Point Energy in a spherically symmetric background with the help of the Wheeler-DeWitt equation. This last one is regarded as a Sturm-Liouville problem with the cosmological constant considered as the associated eigenvalue. The graviton contribution, at one loop is extracted wit the help of a variational approach together with Gaussian trial functionals. The divergences handled with a zeta function regularization are compared with the results obtained using a Noncommutative Geometry (NCG) and Modified Dispersion Relations (MDR). In both NCG and MDR no renormalization scheme is necessary to remove infinities in contrast to what happens in conventional approaches.
Keywords
Cite
@article{arxiv.1102.0117,
title = {Modified Dispersion Relations and Noncommutative Geometry lead to a finite Zero Point Energy},
author = {Remo Garattini},
journal= {arXiv preprint arXiv:1102.0117},
year = {2015}
}
Comments
Contribution written for the Proceedings of Frontiers of Fundamental Physics [FFP11], 6-9 July 2010, Paris. 12 Pages