6533b85efe1ef96bd12bf4e5

RESEARCH PRODUCT

R-summed form of adiabatic expansions in curved spacetime

Silvia PlaJosé Navarro-salasAntonio Ferreiro

subject

PhysicsSpacetime010308 nuclear & particles physicsScalar (mathematics)FOS: Physical sciencesPropagatorGeneral Relativity and Quantum Cosmology (gr-qc)01 natural sciencesGeneral Relativity and Quantum CosmologyGeneral Relativity and Quantum CosmologyHomogeneous0103 physical sciences010306 general physicsAdiabatic processSeries expansionScalar fieldMathematical physicsScalar curvature

description

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.

yearjournalcountryeditionlanguage
2020-03-21
10.1103/physrevd.101.105011http://arxiv.org/abs/2003.09610