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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Acknowledgments
DG was supported by the European Union and the Czech Ministry of Education, Youth and Sports (Project: MSCA Fellowship CZ FZU I — CZ.02.01.01/00/22_010/0002906). SPM was supported by Taiwan NSTC grants 111-2112-M-006-038 and 112-2112-M-006-017. TP was supported by the D-ITP consortium, a program of the Netherlands Organization for Scientific Research (NWO) that is funded by the Dutch Ministry of Education, Culture and Science (OCW). RPW was supported by NSF grant PHY-2207514 and by the Institute for Fundamental Theory at the University of Florida.
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Glavan, D., Miao, S.P., Prokopec, T. et al. Explaining large electromagnetic logarithms from loops of inflationary gravitons. J. High Energ. Phys. 2023, 195 (2023). https://doi.org/10.1007/JHEP08(2023)195
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DOI: https://doi.org/10.1007/JHEP08(2023)195