Abstract
Nonlinear sigma models on de Sitter background have proved a useful prototype for quantum gravity in summing the large logarithms which arise from loop corrections. We consider a model whose evolution is described, at leading logarithm order, by the trace of the coincident, doubly differentiated scalar propagator. An analytic approximation for this quantity on an arbitrary expansion history is applied to generalize the resummed de Sitter result to any cosmological background which has experienced primordial inflation. In addition to analytic expressions, we present explicit numerical results for the evolution in a plausible expansion history. The large scales of primordial inflation are transmitted to late times.
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Acknowledgments
This work was partially supported by NSF grant PHY-2207514 and by the Institute for Fundamental Theory at the University of Florida.
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Woodard, R.P., Yesilyurt, B. Remembrance of things past. J. High Energ. Phys. 2023, 124 (2023). https://doi.org/10.1007/JHEP08(2023)124
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DOI: https://doi.org/10.1007/JHEP08(2023)124