title: Simple Emergent Power Spectra from Complex Inflationary Physics.
abstract: We construct ensembles of random scalar potentials for N_{f}-interacting scalar fields using nonequilibrium random matrix theory, and use these to study the generation of observables during small-field inflation. For N_{f}=O(few), these heavily featured scalar potentials give rise to power spectra that are highly nonlinear, at odds with observations. For N_{f}≫1, the superhorizon evolution of the perturbations is generically substantial, yet the power spectra simplify considerably and become more predictive, with most realizations being well approximated by a linear power spectrum. This provides proof of principle that complex inflationary physics can give rise to simple emergent power spectra. We explain how these results can be understood in terms of large N_{f} universality of random matrix theory.
authors.affiliation: Deutsches Elektronen-Synchrotron, DESY, Notkestraße 85, 22607 Hamburg, Germany.
authors.forename: Mafalda
authors.initials: M
authors.lastname: Dias
authors.affiliation: Deutsches Elektronen-Synchrotron, DESY, Notkestraße 85, 22607 Hamburg, Germany.
authors.forename: Jonathan
authors.initials: J
authors.lastname: Frazer
authors.affiliation: Department of Applied Mathematics and Theoretical Physics, DAMTP, University of Cambridge, Cambridge, CB3 0WA, United Kingdom.
authors.forename: M C David
authors.initials: MC
authors.lastname: Marsh