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The Effective Field Theory of Multifield Inflation

Published 10 Sep 2010 in hep-th, astro-ph.CO, and hep-ph | (1009.2093v2)

Abstract: We generalize the Effective Field Theory of Inflation to include additional light scalar degrees of freedom that are in their vacuum at the time the modes of interest are crossing the horizon. In order to make the scalars light in a natural way we consider the case where they are the Goldstone bosons of a global symmetry group or are partially protected by an approximate supersymmetry. We write the most general Lagrangian that couples the scalar mode associated to the breaking of time translation during inflation to the additional light scalar fields. This Lagrangian is constrained by diffeomorphism invariance and the additional symmetries that keep the new scalars light. This Lagrangian describes the fluctuations around the time of horizon crossing and it is supplemented with a general parameterization describing how the additional fluctuating fields can affect cosmological perturbations. We find that multifield inflation can reproduce the non-Gaussianities that can be generated in single field inflation but can also give rise to new kinds of non-Gaussianities. We find several new three-point function shapes. We show that in multifield inflation it is possible to naturally suppress the three-point function making the four-point function the leading source of detectable non-Gaussianities. We find that under certain circumstances, i.e. if specific shapes of non-Gaussianities are detected in the data, one could distinguish between single and multifield inflation and sometimes even among the various mechanisms that kept the additional fields light.

Citations (242)

Summary

  • The paper extends single-field inflation EFT by incorporating multiple light scalar fields protected by symmetry mechanisms.
  • It reveals how multifield models introduce distinctive non-Gaussian signatures, with suppressed three-point and enhanced four-point correlations.
  • The study proposes observational tests via cosmic microwave background data to probe inflation dynamics and variations in propagation speeds.

Analyzing the Effective Field Theory of Multifield Inflation

The paper entitled "The Effective Field Theory of Multifield Inflation" by Leonardo Senatore and Matias Zaldarriaga examines the complexities introduced into the inflationary cosmological model by considering multiple light scalar fields. This research extends the effective field theory (EFT) framework, which handles inflationary dynamics, to encompass these additional fields. The authors develop this theory under the assumption that these additional scalar fields can be naturally light, via mechanisms such as their association with a global symmetry group or partial protection by approximate supersymmetry. Let's explore the mechanics and implications of these findings.

The authors initiate their work by expanding on the well-established effective field theory of single-field inflation, encapsulated by previous studies. They acknowledge the burgeoning importance of ever-more-sensitive cosmological observations that demand refined explanations of early universe dynamics. The starting point for this extension is recognizing that multifield inflation introduces new dimensions to the inflationary landscape, necessitating additional scalar degrees of freedom. These fields are expected to manifest as Goldstone bosons due to breaking of a global symmetry, typically assumed to be either Abelian or non-Abelian, or emerge from an approximate supersymmetric framework.

In detailing the multifield inflationary model, the paper articulates the most general Lagrangian form accommodating scalar fields during inflation and elucidates how symmetries constrain the overall structure of this Lagrangian. The inclusion of these fields necessitates addressing the potential for non-Gaussianities in the cosmological perturbations they generate, further extending the theoretical complexity. By leveraging the multifield perspective, the authors aim to elucidate distinctive observational signatures, such as novel shapes of three- and four-point functions, some potentially distinctive from those observed in single-field inflation models.

The paper posits certain conditions under which multifield inflation not only reproduces but also diversifies the kinds of non-Gaussianities accessible in single field models. One crucial finding is that multifield inflation can feasibly suppress the three-point function's amplitude, making the four-point function a leading observable candidate. Such scenarios arise particularly when fields are constrained by specific symmetries, which may allow new non-Gaussian structures that provide avenues for distinguishing multifield from single-field inflation through observational data.

Additionally, the paper underscores how multifield inflation theories can offer insights into the scale and speed of propagation (e.g., sound speeds) of the inflationary perturbations, given that these speeds can differ both from unity and from one another in the multifield scenario. This provides a broader scope for assessing inflationary dynamics beyond what is typically considered in single-field models.

From a practical standpoint, the authors propose that distinguishing between single- and multifield models might be possible through spectral signatures detectable in the cosmic microwave background radiation or other cosmological observables. Specifically, evidence of multifield inflation could emerge if particular shapes of non-Gaussianity, not producible by single-field inflation, are detected.

The research has broader implications for future theoretical development and experimental exploration. The multifield framework potentially bridges diverse high-energy physics models predicting additional scalar fields during inflation, aiding in unifying observable cosmological features with underlying particle physics mechanisms.

In conclusion, Senatore and Zaldarriaga’s work significantly enriches the theoretical landscape by expanding the scope of inflationary model predictions to include multifield dynamics within the EFT framework. This work not only propels theoretical inquiry forward but also sets a precedent for future empirical investigations seeking to unravel the enigmatic epoch of cosmic inflation, guiding expectations of what might be achievable with next-generation observational data. Further inquiry into the specifics of multifield dynamics, interaction terms, and observables can illuminate the fundamental properties of the early universe and the symmetries governing it.

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