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J. M. Maldacena, “Non-Gaussian features of primordial fluctuations in single field inflationary models,” JHEP 0305
2003
Earlier work this paper cites.
P. Creminelli and M. Zaldarriaga, “Single field consistency relation for the 3-point function,” JCAP 0410
2004
Earlier work this paper cites.
S. Weinberg, “Quantum contributions to cosmological correlations,” Phys. Rev. D 72
2005
Earlier work this paper cites.
S. Weinberg, “Quantum contributions to cosmological correlations. II: Can these corrections become large?,” Phys. Rev. D 74
2006
Earlier work this paper cites.
X. Chen, M. x. Huang and G. Shiu, “The inflationary trispectrum for models with large non-Gaussianities,” Phys. Rev. D 74
2006
Earlier work this paper cites.
C. Cheung, A. L. Fitzpatrick, J. Kaplan and L. Senatore, “On the consistency relation of the 3-point function in single field inflation,” JCAP 0802
Original
2008
Earlier work this paper cites.

Similar

N. Dalal, O. Dore, D. Huterer and A. Shirokov, “The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects,” Phys. Rev. D 77
Original
2008
Cited alongside, same era.
D. Seery, M. S. Sloth and F. Vernizzi, “Inflationary trispectrum from graviton exchange,” JCAP 0903
Original
2009
Cited alongside, same era.
L. Senatore and M. Zaldarriaga, “On Loops in Inflation,” JHEP 1012
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2010
Cited alongside, same era.
L. Senatore, K. M. Smith and M. Zaldarriaga, “Non-Gaussianities in Single Field Inflation and their Optimal Limits from the WMAP 5-year Data,” JCAP 1001
Original
2010
Cited alongside, same era.
E. O. Kahya, V. K. Onemli and R. P. Woodard, “The Zeta-Zeta Correlator Is Time Dependent,” Phys. Lett. B 694

Then

L. Leblond and E. Pajer, “Resonant Trispectrum and a Dozen More Primordial N-point functions,” JCAP 1101
Original
2011
Later among the works it cites.
P. Creminelli, G. D’Amico, M. Musso and J. Norena, “The (not so) squeezed limit of the primordial 3-point function,” JCAP 1111
Original
2011
Later among the works it cites.
S. B. Giddings and M. S. Sloth, “Semiclassical relations and IR effects in de Sitter and slow-roll space-times,” JCAP 1101
Original
2011
Later among the works it cites.
M. Gerstenlauer, A. Hebecker and G. Tasinato, “Inflationary Correlation Functions without Infrared Divergences,” JCAP 1106
Original
2011
Later among the works it cites.
C. Cheung, P. Creminelli, A. L. Fitzpatrick, J. Kaplan and L. Senatore, “The Effective Field Theory of Inflation,” JHEP 0803

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2012

A Note on the Consistency Condition of Primordial Fluctuations

Senatore, Leonardo, Zaldarriaga, Matias

Understand

We show that the squeezed limit of (N+1)-point functions of primordial correlation functions in which one of the modes has a very small wavenumber can be inferred from the spatial variation of locally measured N-point function.

We then show how in single clock inflation a long wavelength perturbation can be re-absorbed in the background cosmology and how in computing correlation functions the integrals of the interaction Hamiltonian are dominated by conformal times of order of the short wavelength modes, when the long mode is already outside of the horizon.
This allows us to generalize the consistency condition for N-point functions to the case in which the short wavelength fluctuations are inside the horizon and derivatives acts on them.
We further discuss the consistency condition in the soft internal squeezed limit in which in an (N+M)-point function with (N+M) short modes the sum of the first N modes is a very soft momentum.

Built on

J. M. Maldacena, “Non-Gaussian features of primordial fluctuations in single field inflationary models,” JHEP 0305
2003
Earlier work this paper cites.
P. Creminelli and M. Zaldarriaga, “Single field consistency relation for the 3-point function,” JCAP 0410
2004
Earlier work this paper cites.
S. Weinberg, “Quantum contributions to cosmological correlations,” Phys. Rev. D 72
2005
Earlier work this paper cites.
S. Weinberg, “Quantum contributions to cosmological correlations. II: Can these corrections become large?,” Phys. Rev. D 74
2006
Earlier work this paper cites.
X. Chen, M. x. Huang and G. Shiu, “The inflationary trispectrum for models with large non-Gaussianities,” Phys. Rev. D 74
2006
Earlier work this paper cites.
C. Cheung, A. L. Fitzpatrick, J. Kaplan and L. Senatore, “On the consistency relation of the 3-point function in single field inflation,” JCAP 0802
Original
2008
Earlier work this paper cites.