A simple operator check of the effective fermion mode function during inflation

Shun-Pei Miao, R. P. Woodard

Research output: Contribution to journalArticle

50 Citations (Scopus)

Abstract

We 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, but 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.

Original languageEnglish
Article number145009
JournalClassical and Quantum Gravity
Volume25
Issue number14
DOIs
Publication statusPublished - 2008 Jul 21

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logarithms
fermions
formalism
operators
simplification
kinetic energy
gravitation
formulations
approximation
interactions

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

Cite this

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A simple operator check of the effective fermion mode function during inflation. / Miao, Shun-Pei; Woodard, R. P.

In: Classical and Quantum Gravity, Vol. 25, No. 14, 145009, 21.07.2008.

Research output: Contribution to journalArticle

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