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Glavan, D.; Miao, S. P.; Prokopec, T.; Woodard, R. P.

Explaining large electromagnetic logarithms from loops of inflationary gravitons. (English) Zbl 07749070

J. High Energy Phys. 2023, No. 8, Paper No. 195, 18 p. (2023).
Summary: 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.

Cited in 2 Documents

MSC:

81-XX Quantum theory

Keywords:

de Sitter space; renormalization group
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