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Effective field theory approach to quasi-single field inflation and effects of heavy fields

Published 7 Nov 2012 in hep-th, astro-ph.CO, gr-qc, and hep-ph | (1211.1624v3)

Abstract: We apply the effective field theory approach to quasi-single field inflation, which contains an additional scalar field with Hubble scale mass other than inflaton. Based on the time-dependent spatial diffeomorphism, which is not broken by the time-dependent background evolution, the most generic action of quasi-single field inflation is constructed up to third order fluctuations. Using the obtained action, the effects of the additional massive scalar field on the primordial curvature perturbations are discussed. In particular, we calculate the power spectrum and discuss the momentum-dependence of three point functions in the squeezed limit for general settings of quasi-single field inflation. Our framework can be also applied to inflation models with heavy particles. We make a qualitative discussion on the effects of heavy particles during inflation and that of sudden turning trajectory in our framework.

Citations (228)

Summary

  • The paper constructs a generic action for quasi-single field inflation using EFT, revealing how heavy fields impact the CMB.
  • It employs the Stueckelberg trick to achieve a decoupling regime, simplifying the analysis of non-linear and non-Gaussian fluctuations.
  • Numerical analyses show that sudden-turning trajectories induce oscillatory features in the power spectrum, offering testable predictions for cosmological observations.

Effective Field Theory Approach to Quasi-Single Field Inflation and Effects of Heavy Fields

The research paper presents an advanced theoretical framework for analyzing quasi-single field inflation models through the effective field theory (EFT) approach. Such models incorporate an additional scalar field, commonly known as the "spectator" field, which is massive on the order of the Hubble scale, alongside the inflaton. This particular study forms a bridge between conventional single-field inflation models and their more complex multi-field counterparts by systematically examining the effects of interactions between light and heavy fields during inflation.

The authors construct the most generic action for quasi-single field inflation, adhering to symmetries under time-dependent spatial diffeomorphism. This is critical in the inflationary context due to the cosmic background's temporal coherence, reflected in today's observable universe. By particularly focusing on the interactions up to the third order fluctuations in the action, the work rigorously characterizes the dynamics introduced by the integration of heavy scalar fields. The utilization of the Stueckelberg trick to introduce Goldstone bosons reveals a simplification - the decoupling regime - in which the inflaton's perturbations are effectively disentangled from the metric fluctuations. This decoupling is paramount in analyzing non-linear and non-Gaussian effects in cosmic perturbations.

Via the EFT approach, the paper elucidates the impact of heavy particles during inflation. It underscores a significant implication: even fields that are not part of the inflaton's dynamics could influence observable signatures in the cosmic microwave background (CMB) and, consequently, influence our understanding of the universe's inflationary period.

Numerical analyses reinforce the qualitative discussions, exploring the power spectrum generated in quasi-single field inflation both under constant and sudden-turning scenarios. Certain configurations can lead to observable non-Gaussianities which deviate distinctly from standard predictions in simple single-field inflation models. Indeed, these non-Gaussianities could manifest in features of bispectra that lie between the local and equilateral shapes, providing key targets for current and future observational missions.

The formalism is adept at describing the effects of a sudden change in trajectory during inflation. The sudden turning trajectory, despite being temporal, could leave an imprint on observable spectra, characterized by oscillating behaviors that can demarcate the scales of interest. The results introduce a rich phenomenology in the prediction of the effective field theory approach to early universe models, which could be testable with high-precision cosmological datasets.

This study offers an insightful contribution to inflationary model building and understanding of the primordial universe. By extending the domain of applicability of EFT to incorporate effects due to massive fields, it suggests a potential avenue for reconciling discrepancies between theoretical predictions and astrophysical observations. Researchers within the cosmology community will find it pivotal in probing the unexplored features of inflationary dynamics and its correlations to fundamental physics, such as supersymmetry and string theory scenarios. It also stands to inspire subsequent explorations into broader classes of inflationary models, ultimately informing the quest to pinpoint the foundational structures and mechanics of cosmic inflation.

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