Built on

B. Jain and E. Bertschinger, “Selfsimilar evolution of cosmological density fluctuations,” Astrophys. J
1996
Earlier work this paper cites.
R. Scoccimarro and J. Frieman, “Loop corrections in nonlinear cosmological perturbation theory,” Astrophys. J. Suppl
1996
Earlier work this paper cites.
F. Bernardeau, S. Colombi, E. Gaztanaga and R. Scoccimarro, Phys. Rept
2002
Earlier work this paper cites.
J. M. Maldacena, “Non-Gaussian features of primordial fluctuations in single field inflationary models,” JHEP
2003
Earlier work this paper cites.
S. Weinberg, “Adiabatic modes in cosmology,” Phys. Rev. D
2003
Earlier work this paper cites.
S. Dodelson, “Modern cosmology,” Amsterdam, Netherlands: Academic Pr. (2003) 440 p
2003
Earlier work this paper cites.
P. Creminelli and M. Zaldarriaga, “Single field consistency relation for the 3-point function,” JCAP
2004
Earlier work this paper cites.
P. Creminelli and M. Zaldarriaga, “CMB 3-point functions generated by non-linearities at recombination,” Phys. Rev. D
2004
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
Original
2008
Earlier work this paper cites.
L. Boubekeur, P. Creminelli, J. Norena and F. Vernizzi, “Action approach to cosmological perturbations: the 2nd order metric in matter dominance,” JCAP
Original
2008
Earlier work this paper cites.
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
Original
2008
Earlier work this paper cites.

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Then

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Later among the works it cites.
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Later among the works it cites.
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2013

Single-Field Consistency Relations of Large Scale Structure

Creminelli, Paolo, Noreña, Jorge, Simonović, Marko et al.

Understand

We derive consistency relations for the late universe (CDM and \Lambda CDM): relations between an n-point function of the density contrast \delta and an (n+1)-point function in the limit in which one of the (n+1) momenta becomes much smaller than the others.

These are based on the observation that a long mode, in single-field models of inflation, reduces to a diffeomorphism since its freezing during inflation all the way until the late universe, even when the long mode is inside the horizon (but out of the sound horizon).
These results are derived in Newtonian gauge, at first and second order in the small momentum q of the long mode and they are valid non-perturbatively in the short-scale \delta.
In the non-relativistic limit our results match with (Kehagias and Riotto '13) and (Peloso and Pietroni '13).

Built on

B. Jain and E. Bertschinger, “Selfsimilar evolution of cosmological density fluctuations,” Astrophys. J
1996
Earlier work this paper cites.
R. Scoccimarro and J. Frieman, “Loop corrections in nonlinear cosmological perturbation theory,” Astrophys. J. Suppl
1996
Earlier work this paper cites.
F. Bernardeau, S. Colombi, E. Gaztanaga and R. Scoccimarro, Phys. Rept
2002
Earlier work this paper cites.
J. M. Maldacena, “Non-Gaussian features of primordial fluctuations in single field inflationary models,” JHEP
2003
Earlier work this paper cites.
S. Weinberg, “Adiabatic modes in cosmology,” Phys. Rev. D
2003
Earlier work this paper cites.
S. Dodelson, “Modern cosmology,” Amsterdam, Netherlands: Academic Pr. (2003) 440 p
2003
Earlier work this paper cites.
P. Creminelli and M. Zaldarriaga, “Single field consistency relation for the 3-point function,” JCAP
2004
Earlier work this paper cites.
P. Creminelli and M. Zaldarriaga, “CMB 3-point functions generated by non-linearities at recombination,” Phys. Rev. D
2004
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
Original
2008
Earlier work this paper cites.
L. Boubekeur, P. Creminelli, J. Norena and F. Vernizzi, “Action approach to cosmological perturbations: the 2nd order metric in matter dominance,” JCAP
Original
2008
Earlier work this paper cites.
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
Original
2008
Earlier work this paper cites.