R-summed form of adiabatic expansions in curved spacetime
General Relativity and Quantum Cosmology
2020-05-20 v2
Abstract
The Feynman propagator in curved spacetime admits an asymptotic (Schwinger-DeWitt) series expansion in derivatives of the metric. Remarkably, all terms in the series containing the Ricci scalar R can be summed exactly. We show that this (non-perturbative) property of the Schwinger-DeWitt series has a natural and equivalent counterpart in the adiabatic (Parker-Fulling) series expansion of the scalar modes in an homogeneous cosmological spacetime. The equivalence between both R-summed adiabatic expansions can be further extended when a background scalar field is also present.
Keywords
Cite
@article{arxiv.2003.09610,
title = {R-summed form of adiabatic expansions in curved spacetime},
author = {Antonio Ferreiro and Jose Navarro-Salas and Silvia Pla},
journal= {arXiv preprint arXiv:2003.09610},
year = {2020}
}
Comments
13 pages. Minor changes. Misprints corrected. To appear in Phys. Rev. D