R-summed form of adiabatic expansions in curved spacetime
arXiv:2003.09610 · doi:10.1103/PhysRevD.101.105011
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.
arXiv comment13 pages. Minor changes. Misprints corrected. To appear in Phys. Rev. D
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