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arXiv · 2307.09386

Explaining Large Electromagnetic Logarithms from Loops of Inflationary Gravitons

D. Glavan·S. P. Miao·T. Prokopec·R. P. Woodard
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Abstract

Recent progress on nonlinear sigma models on de Sitter background has permitted the resummation of large inflationary logarithms by combining a variant of Starobinsky's stochastic formalism with a variant of the renormalization group. We reconsider single graviton loop corrections to the photon wave function, and to the Coulomb potential, in light of these developments. Neither of the two 1-loop results have a stochastic explanation, however, the flow of a curvature-dependent field strength renormalization explains their factors of $\ln(a)$. We speculate that the factor of $\ln(Hr)$ in the Coulomb potential should not be considered as a leading logarithm effect.

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D. Glavan, S. P. Miao, T. Prokopec, R. P. Woodard. 2023-07-18. Explaining Large Electromagnetic Logarithms from Loops of Inflationary Gravitons. https://doi.org/10.1007/jhep08(2023)195

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