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Explaining Large Electromagnetic Logarithms from Loops of Inflationary Gravitons
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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.
Forward citations
Cited by 2 Pith papers
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Resumming Photon Loops for Inflationary Gravity
Photon loops on de Sitter background are conserved at one loop and produce a positive, logarithmically growing correction to the Weyl tensor and Newtonian potential that resums to a power law.
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Resummations for Inflationary Quantum Gravity
Secular logarithms from inflationary graviton loops can be resummed by combining a modified stochastic formalism with a modified renormalization group, though the pure-gravity sector remains incomplete.
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