Inflation in Multi-field Modified DBM Potentials

TL;DR

This paper investigates multi-field inflation in complex random potentials, incorporating correlations akin to Gaussian fields, and uses extensive simulations with the full transport method to analyze observational predictions.

Contribution

It introduces a novel modification to generate correlated multi-field potentials and applies the full transport method to large field numbers without slow-roll approximation.

Findings

Planck-compatible inflationary predictions are common

Significant isocurvature power at inflation's end is possible

Large-field multi-field models can be simulated efficiently

Abstract

We study multi-field inflation in random potentials generated via a non-equilibrium random matrix theory process. We make a novel modification of the process to include correlations between the elements of the Hessian and the height of the potential, similar to a Random Gaussian Field (RGF). We present the results of over 50,000 inflationary simulations involving 5-100 fields. For the first time, we present results of $\mathcal{O}(100)$ fields using the full `transport method', without slow-roll approximation. We conclude that Planck compatibility is a common prediction of such models, however significant isocurvature power at the end of inflation is possible.