A Simple Operator Check of the Effective Fermion Mode Function during Inflation

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dc.creatorMiao, Shun-Pei
dc.creatorWoodard, R. P.
dc.date2008-03-16
dc.date2008-06-25
dc.date.accessioned2026-07-07T11:33:13Z
dc.date.available2026-07-07T11:33:13Z
dc.descriptionWe present a relatively simple operator formalism which reproduces the leading infrared logarithm of the one loop quantum gravitational correction to the fermion mode function on a locally de Sitter background. This rule may serve as the basis for an eventual stochastic formulation of quantum gravity during inflation. Such a formalism would not only effect a vast simplification in obtaining the leading powers of $\ln(a)$ at fixed loop orders, it would also permit us to sum the series of leading logarithms. A potentially important point is that our rule does not seem to be consistent with any simple infrared truncation of the fields. Our analysis also highlights the importance of spin as a gravitational interaction that persists even when kinetic energy has redshifted to zero.
dc.description39 pages, no figuire.(1) New version has clarified the ultimate motivation by adding sentences to the abstract and to the penultimate paragraph of the introduction. (2) By combining a number of references and equations we have managed to reduce the length by 2 pages
dc.identifierhttps://arxiv.org/abs/0803.2377
dc.identifierhttp://arxiv.org/abs/0803.2377
dc.identifierClass.Quant.Grav.25:145009,2008
dc.identifierdoi:10.1088/0264-9381/25/14/145009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197814
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titleA Simple Operator Check of the Effective Fermion Mode Function during Inflation
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