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Equilateral Non-Gaussianity and New Physics on the Horizon

Published 25 Feb 2011 in hep-th, astro-ph.CO, and hep-ph | (1102.5343v2)

Abstract: We examine the effective theory of single-field inflation in the limit where the scalar perturbations propagate with a small speed of sound. In this case the non-linearly realized time-translation symmetry of the Lagrangian implies large interactions, giving rise to primordial non-Gaussianities. When the non-Gaussianities are measurable, these interactions will become strongly coupled unless new physics appears close to the Hubble scale. Due to its proximity to the Hubble scale, the new physics is not necessarily decoupled from inflationary observables and can potentially affect the predictions of the model. To understand the types of corrections that may arise, we construct weakly-coupled completions of the theory and study their observational signatures.

Citations (203)

Summary

  • The paper examines how reduced sound speed in scalar perturbations leads to prominent equilateral non-Gaussianities via strong coupling effects.
  • It employs effective field theory to construct weakly-coupled completions that mitigate the breakdown of single-field inflation models.
  • The analysis outlines observable CMB signatures that may indicate the influence of new physics near the Hubble scale.

An Examination of Equilateral Non-Gaussianity in Inflationary Cosmology

The paper by Baumann and Green provides an in-depth analysis of equilateral non-Gaussianity in single-field inflation models and the implications of new physics influencing cosmological observations. The work leverages the framework of effective field theory (EFT) to explore conditions under which large primordial non-Gaussianities emerge during inflationary epochs, particularly when scalar perturbations propagate with a reduced speed of sound.

The authors effectively use the EFT approach to scrutinize the interactions responsible for significant non-Gaussianities, which suggest that strong coupling might occur unless new physics intervenes at an energy scale close to the Hubble scale. Their investigation focuses on constructing weakly-coupled completions for these models, providing analytical frameworks that discern observational signatures that might indicate new underlying physics.

Insights into Non-Gaussianity and Strong Coupling

Baumann and Green explore the conditions under which significant interactions give rise to equilateral non-Gaussianities, drawing particular attention to scenarios where scalar perturbations possess decelerated speeds of sound. They elucidate how, in these regimes, the interactions can become strongly coupled at an energy threshold not substantially above the Hubble scale. This insight raises the possibility that the assumed EFT might break down unless additional, non-decoupled physics operates near this scale.

Understanding Corrections and New Physics

A central aim of the paper is to examine the corrections and new physics that might alter the predictions of single-field inflationary models. To achieve this, the authors meticulously construct weakly-coupled completions of the theory. By addressing how these completions interact with observable predictions, they provide a valuable framework for identifying when new physics could be relevant and generate subtler signatures within cosmic microwave background (CMB) data.

On the Signature of Weakly-Coupled Completions

The paper highlights the importance of the energy hierarchy and identifies three fundamental scales: the symmetry breaking scale, the strong coupling scale, and the Hubble scale. They articulate the potential structure of the new physics required to maintain weak coupling at energies below the symmetry breaking scale. This is instrumental in decoding the impact of non-Gaussianity signatures observed through CMB experiments and discerning whether they imply any deviation caused by new physical processes.

The authors propose that, should novel physics exist, it will likely manifest as small speed of sound-driven deviations in the bispectrum of the inflationary universe. This deviation is characterized by observable equilateral non-Gaussianity at scales nearing the experimental reach of future cosmological observations.

Implications and Theoretical Developments

Baumann and Green's analysis has profound implications for the ongoing quest to understand the cosmological processes underlying the inflationary period of the universe. They suggest that increased precision in observational data, perhaps from next-generation CMB experiments, could potentially reveal subtler signals of new physics if equilateral non-Gaussianities are detected. Observing such deviations could, therefore, facilitate significant theoretical advancements in our comprehension of inflationary cosmology.

Future explorations in this domain might focus on constructing more sophisticated models or employing numerical methods to better understand and predict the amplitude and shape of non-Gaussian contributions. More precise data, combined with these advanced theoretical models, could elucidate the enigmatic nature of potential new physics acting at cosmological energy scales.

In conclusion, the paper adeptly presents a rigorous exploration of the conditions under which new physics could manifest in inflationary cosmology through non-Gaussian signatures. By leveraging the concept of weakly-coupled completions within the EFT framework, Baumann and Green not only address critical theoretical questions but also propose a roadmap for future investigations that aim to uncover the intricate dynamics of the early universe.

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