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Why Must Primordial Non-Gaussianity Be Very Small?
Jason Kristiano1,2, Jun'ichi Yokoyama1,2,3,4
1Research Center for the Early Universe (RESCEU), Graduate School of Science, The University of Tokyo, Tokyo 113-0033, Japan.
One-loop corrections to the primordial power spectrum in single-field inflation are significantly larger than expected. This implies primordial non-Gaussianity must be smaller than current bounds to ensure cosmological perturbation theory remains valid.
Area of Science:
- Cosmology
- Theoretical Physics
Background:
- Standard perturbation theory is crucial for understanding the early universe.
- Inflationary cosmology predicts primordial density fluctuations that seed cosmic structures.
Purpose of the Study:
- To calculate the one-loop correction to the primordial power spectrum in single-field inflation.
- To assess the impact of this correction on the validity of cosmological perturbation theory.
Main Methods:
- Utilized standard perturbation theory to compute the one-loop correction.
- Analyzed the dependence of the correction on the spectral index of curvature perturbation.
Main Results:
- The one-loop correction is found to be significantly enhanced, inversely proportional to the observed red tilt.
- This correction is much larger than previously anticipated.
Conclusions:
- Primordial non-Gaussianity must be considerably smaller than current observational limits.
- Ensuring primordial non-Gaussianity is below these bounds is essential for the validity of cosmological perturbation theory.
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