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arXiv · 0803.2377

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

Shun-Pei Miao·R. P. Woodard
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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, 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.

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Shun-Pei Miao, R. P. Woodard. 2008-06-25. A Simple Operator Check of the Effective Fermion Mode Function during Inflation. https://doi.org/10.1088/0264-9381%2F25%2F14%2F145009

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