On soft limits of inflationary correlation functions

By Valentin Assassi, D. Baumann, D. Green. 2012

311 citations recorded by the source corpus.

Soft limits of inflationary correlation functions are both observationally relevant and theoretically robust. Various theorems can be proven about them that are insensitive to detailed model-building assumptions. In this paper, we re-derive several of these theorems in a universal way. Our method makes manifest why soft limits are such an interesting probe of the spectrum of additional light fields during inflation. We illustrate these abstract results with a detailed case study of the soft limits of quasi-single-field inflation.

Subfields: Astronomy and Astrophysics, Finance

View Paper: https://www.semanticscholar.org/paper/1699b31a2ca27746cbad209ee861cf9672c10e8c

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Citations in the corpus

The cosmological bootstrap: inflationary correlators from symmetries and singularities (2018, unknown): “It is the only nonvanishing piece of the bispectrum in the squeezed limit and, from the bulk perspective, follows from consistency conditions [17, 51, 107] that relate a long-wavelength metric fluctuation to a change of coordinates.”
Cosmology and Fundamental Physics with the Euclid Satellite (2012, background): “Particularly interesting is the so-called Suyama–Yamaguchi inequality (e.g., Suyama and Yamaguchi 2008; Smith et al. 2011; Assassi et al. 2012; Kehagias and Riotto 2012; Beltrán Almeida et al. 2013) which connects the amplitudes of the bi- and tri-spectra in models where non-Gaussianity is seeded by”
Bootstrapping inflationary correlators in Mellin space (2019, background): “Non-Gaussianities in primordial correlation functions encode the physics of inflation, including interactions and field content, and the ultimate goal of the “Cosmological Collider Physics” programme [22–39] is to classify the possible shapes of non-Gaussianities for comparison with observations.”
The Cosmological Bootstrap: Spinning correlators from symmetries and factorization (2020, background): “Such a classification would provide the conceptual foundation for the discipline of “cosmological collider physics” [13–39], and facilitate a deeper understanding of theoretical constraints on cosmological correlators.”
The cosmological bootstrap: weight-shifting operators and scalar seeds (2019, background): “) Although these solutions describe static boundary correlators, they encode time-dependent processes in the bulk, including the production and decay of very massive particles [12, 35–55].”
An infinite set of Ward identities for adiabatic modes in cosmology (2013, methodology): “The operator approach followed here in translating the Ward identity to a consistency relation has some overlap with [43].”
Symmetries and loops in inflation (2012, background): “Current conservation, ∂μJ μ = 0, implies the following Ward identity [14] for correlation functions [30]”
Inflation, Cosmic Perturbations and Non-Gaussianities (2013, methodology): “This analysis can also be made more rigorous [122].”