The Inflaton Effective Potential for General $\epsilon$
General Relativity and Quantum Cosmology
2020-08-05 v2 Cosmology and Nongalactic Astrophysics
Abstract
We develop an analytic approximation for the coincidence limit of a massive scalar propagator in an arbitrary spatially flat, homogeneous and isotropic geometry. We employ this to compute the one loop corrections to the inflaton effective potential from a quadratic coupling to a minimally coupled scalar. We also extend the Friedmann equations to cover potentials that depend locally on the Hubble parameter and the first slow roll parameter.
Keywords
Cite
@article{arxiv.1908.03814,
title = {The Inflaton Effective Potential for General $\epsilon$},
author = {A. Kyriazis and S. P. Miao and N. C. Tsamis and R. P. Woodard},
journal= {arXiv preprint arXiv:1908.03814},
year = {2020}
}
Comments
21 pages, 9 figures, uses LaTeX 2e. Version 2 revised for publication, including 2 new figures and 6 pages of new text to show, among other things, that our approximations apply as well to plateau potentials