The Third Structure Function
General Relativity and Quantum Cosmology
2025-05-12 v3 High Energy Physics - Theory
Abstract
We re-consider the graviton self-energy induced by a loop of massless, minimally coupled scalars on de Sitter background. On flat space background it can be represented as a sum of two tensor differential operators acting on scalar structure functions. On a general background these tensor differential operators can be constructed from the linearized Ricci scalar and the linearized Weyl tensor. However, in cosmology one requires a third contribution which we derive here.
Cite
@article{arxiv.2407.07864,
title = {The Third Structure Function},
author = {S. P. Miao and N. C. Tsamis and R. P. Woodard and B. Yesilyurt},
journal= {arXiv preprint arXiv:2407.07864},
year = {2025}
}
Comments
19 pages, 5 Tables , uses LaTeX2e,Version 2 revised for publication with 5 tables and length of 21 pages