Seven Lessons from Manyfield Inflation in Random Potentials

Understand

We study inflation in models with many interacting fields subject to randomly generated scalar potentials.

• We use methods from non-equilibrium random matrix theory to construct the potentials and an adaption of the 'transport method' to evolve the two-point correlators during inflation.
• This construction allows, for the first time, for an explicit study of models with up to 100 interacting fields supporting a period of 'approximately saddle-point' inflation.
• We determine the statistical predictions for observables by generating over 30,000 models with 2-100 fields supporting at least 60 efolds of inflation.