On the consistency relation of the three-point function in single-field inflation

By C. Cheung, A. Fitzpatrick, Jared Kaplan, L. Senatore. 2007

244 citations recorded by the source corpus.

The consistency relation for the three-point function of the cosmic microwave background is a very powerful observational signature which is believed to be true for every inflationary model in which there is only one dynamical degree of freedom. Its importance relies on the fact that deviations from it might be detected in next generation experiments, allowing us to rule out all single-field inflationary models. After making more precise the already existing proof of the consistency relation, we use a recently developed effective field theory for inflationary perturbations to provide an alternative and very explicit proof valid at leading non-trivial order in slow roll parameters.

Subfields: Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/79bd1e52f39c9a0b49b6b4e7fe66174d5f05d6f8

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In Astronomy and Astrophysics

Citations in the corpus

On loops in inflation (2009, background): “Following the notation of [23], the action is of the form”
Conformal consistency relations for single-field inflation (2012, background): “Indeed, in the case of dilations we know that when we depart from exact shift symmetry (or even exact de Sitter geometry) the variation of the n-point function of ζ under dilation—which is now not zero—is related to the squeezed limit of the (n + 1)-point function [10, 11, 12].”
On soft limits of inflationary correlation functions (2012, background): “inflation [3] (see also [4–6]) relates the squeezed limit of the three-point function of curvature perturbations ζ to the variation of the two-point function under dilation.”
Galilean Genesis: An Alternative to inflation (2010, background): “(54) See [8] for a proof of the conservation of ζ at all orders in perturbation theory, that applies to the Lagrangian studied here.”
Sachs-Wolfe at second order: the CMB bispectrum on large angular scales (2009, background): “This makes sense in light of the discussion above: for the isotropic part there is no angular weight so that everything works as for the consistency relation for the squeezed limit of the primordial 3-point function [27, 41, 42].”
Equilateral Non-Gaussianity and New Physics on the Horizon (2011, unknown): “6), we find [27] δN = Hπ and ∂Ni = − Hπ̇ cs .”
An infinite set of Ward identities for adiabatic modes in cosmology (2013, background): “The consistency relation holds under very general conditions [5]: any early universe scenario involving a single scalar degree of freedom (or single ‘clock’) whose perturbations grow to a constant at late times, must satisfy (1.”
Single-field consistency relations of large scale structure part II: resummation and redshift space (2013, background): “We stress here that the relativistic consistency relations that we formulate are not different from those that apply to inflation [13, 14, 15, 16, 17, 18, 19, 20].”
On graviton non-gaussianities during inflation (2011, methodology): “For scalar fluctuations there is a classification of the possible shapes for the three point function that appear to the leading orders in the derivative expansion for the scalar field [3–6].”
Cosmological non-linearities as an effective fluid (2010, background): “One can prove [70], that ζ remains constant outside of the horizon if: i) all modes that contribute to the non-linear definition of ζ are outside the horizon, and ii) the pressure is a unique function of the energy density p(ρ) (adiabatic condition).”
Galileon inflation (2010, background): “[29] J. M. Maldacena, JHEP, 05, 013 (2003), arXiv:astro-ph/0210603.”