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Area of Science:

  • Cosmology
  • Quantum Field Theory
  • Statistical Mechanics

Background:

  • Inflationary cosmology explains the early universe's large-scale structure.
  • Random matrix theory models complex quantum systems.
  • Scalar potentials are crucial for inflationary models.

Purpose of the Study:

  • Investigate observable generation during small-field inflation.
  • Analyze the impact of random scalar potentials on inflationary power spectra.
  • Explore the role of the number of scalar fields (N_{f}) in simplifying inflationary predictions.

Main Methods:

  • Constructing ensembles of random scalar potentials for N_{f}-interacting scalar fields.
  • Utilizing nonequilibrium random matrix theory.
  • Analyzing the superhorizon evolution of perturbations and resulting power spectra.

Main Results:

  • For a few scalar fields (N_{f}=O(few)), potentials yield highly nonlinear power spectra, inconsistent with observations.
  • For a large number of scalar fields (N_{f}≫1), power spectra simplify significantly, often approximating a linear spectrum.
  • Demonstrated that complex inflationary physics can result in simple emergent power spectra.

Conclusions:

  • Large N_{f} universality in random matrix theory explains the simplification of power spectra.
  • The number of interacting scalar fields is a key factor in determining the predictability of inflationary models.
  • Complex inflationary models can lead to observable, simplified cosmic structures.