Inflationary Cosmology and Primordial Perturbations

Summary

Inflationary cosmology provides a compelling framework for the early universe, positing a brief epoch of accelerated expansion that resolves the horizon, flatness and monopole problems. During this phase, quantum fluctuations in the inflaton field are stretched to cosmological scales, seeding tiny inhomogeneities in the density of matter and energy. These primordial perturbations later evolve into the large-scale structure observed today and imprint characteristic anisotropies on the cosmic microwave background. The statistical properties of these perturbations, typically quantified by the power spectrum and higher-order correlators, offer a direct window onto the physics of inflation, including the shape of the inflaton potential, the dynamics of single- or multi-field models, and possible departures from canonical slow-roll behaviour. Recent theoretical advances have focused on precise loop calculations, effective field theory extensions and non-perturbative methods, while observational programmes continue to refine measurements of the spectral tilt, tensor-to-scalar ratio and non-Gaussian signatures. At the confluence of theory and observation, inflationary cosmology remains a fertile ground for exploring fundamental physics beyond the standard model and for constraining scenarios of high-energy phenomena in the primordial universe.

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Inflationary Cosmology and Primordial Perturbations publication trend

The graph below shows the total number of articles in inflationary cosmology and primordial perturbations across all publications each year (not limited to Nature Index journals).

Technical terms

Inflation: A period of rapid, exponential expansion in the early universe that solves key cosmological puzzles and stretches quantum fluctuations to macroscopic scales.

Primordial perturbations: Small deviations from perfect homogeneity generated during inflation, which seed the growth of cosmic structure and leave imprints on the cosmic microwave background.

Power spectrum: A statistical measure of the variance of perturbations as a function of scale, typically described by its amplitude and spectral tilt.

Non-Gaussianity: Deviations from a purely Gaussian distribution of primordial fluctuations, quantified by higher-order correlation functions such as the bispectrum and trispectrum.

Ultra-slow-roll inflation: A transient phase in which the inflaton’s velocity dramatically decreases, enhancing the amplitude of curvature perturbations and potentially leading to observable spectral features.

Curvature perturbation: A gauge-invariant quantity describing spatial variations in the curvature of constant-density hypersurfaces, conserved on superhorizon scales in adiabatic scenarios.

References

  1. Cancellation of quantum corrections on the soft curvature perturbations. Journal of High Energy Physics (2024).
  2. Power spectrum of primordial perturbations during ultra-slow-roll inflation with back reaction effects. Physics Letters B (2022).
  3. Large |η| approach to single field inflation. Physical Review D (2023).

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