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Gravitons Enhance Fermions during Inflation

Shun-Pei Miao·R. P. Woodard
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Abstract

We solve the effective Dirac equation for massless fermions during inflation in the simplest gauge, including all one loop corrections from quantum gravity. At late times the result for a spatial plane wave behaves as if the classical solution were subjected to a time dependent field strength renormalization of Z_2(t) = 1 - \frac{17}{4 π} G H^2 \ln(a) + O(G^2). We show that this also follows from making the Hartree approximation, although the numerical coefficients differ.

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Shun-Pei Miao, R. P. Woodard. 2008-05-11. Gravitons Enhance Fermions during Inflation. https://doi.org/10.1103/physrevd.74.024021

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