Renormalization Group Flow and the Dark Energy Problem
High Energy Physics - Theory
2015-03-17 v1 General Relativity and Quantum Cosmology
Abstract
Casimir energy is calculated for 5D scalar theory in the {\it warped} geometry. A new regularization, called {\it sphere lattice regularization}, is taken. The regularized configuration is {\it closed-string like}. We numerically evaluate (4D UV-cutoff), (5D bulk curvature, extra space UV-boundary parameter) and (extra space IR-boundary parameter) dependence of Casimir energy. 5D Casimir energy is {\it finitely} obtained after the {\it proper renormalization procedure.} The {\it warp parameter} suffers from the {\it renormalization effect}. Regarding Casimir energy as the main contribution to the cosmological term, we examine the dark energy problem.
Cite
@article{arxiv.1101.1704,
title = {Renormalization Group Flow and the Dark Energy Problem},
author = {Shoichi Ichinose},
journal= {arXiv preprint arXiv:1101.1704},
year = {2015}
}
Comments
6 pages, 2 figures, Proceedings of JGRG20(2010.9.21-25,Kyoto,Japan)