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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 pp
Original
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.
S. Dubovsky, T. Gregoire, A. Nicolis and R. Rattazzi, “Null energy condition and superluminal propagation,” JHEP
2006
Earlier work this paper cites.
M. Crocce and R. Scoccimarro, “Renormalized cosmological perturbation theory,” Phys. Rev. D
2006
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.

Similar

P. Creminelli, G. D’Amico, J. Norena and F. Vernizzi, “The Effective Theory of Quintessence: the w¡-1 Side Unveiled,” JCAP
Original
2009
Cited alongside, same era.
L. Hui, A. Nicolis and C. Stubbs, “Equivalence principle implications of modified gravity models,” Phys. Rev. D
Original
2009
Cited alongside, same era.
L. Hui and A. Nicolis, “An Equivalence principle for scalar forces,” Phys. Rev. Lett
Original
2010
Cited alongside, same era.
P. Creminelli, J. Norena and M. Simonović, “Conformal consistency relations for single-field inflation,” JCAP
Original
2012
Cited alongside, same era.
K. Hinterbichler, L. Hui and J. Khoury, “Conformal Symmetries of Adiabatic Modes in Cosmology,” JCAP

Then

K. C. Chan, R. Scoccimarro and R. K. Sheth, “Gravity and Large-Scale Non-local Bias,” Phys. Rev. D
Original
2012
Later among the works it cites.
A. Kehagias and A. Riotto, “Symmetries and Consistency Relations in the Large Scale Structure of the Universe,” Nucl. Phys. B
Original
2013
Later among the works it cites.
M. Peloso and M. Pietroni, “Galilean invariance and the consistency relation for the nonlinear squeezed bispectrum of large scale structure,” JCAP
Original
2013
Later among the works it cites.
V. Assassi, D. Baumann and D. Green, “Symmetries and Loops in Inflation,” JHEP
Original
2013
Later among the works it cites.
W. D. Goldberger, L. Hui and A. Nicolis, “One-particle-irreducible consistency relations for cosmological perturbations,” Phys. Rev. D

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2014

Soft-Pion Theorems for Large Scale Structure

Horn, Bart, Hui, Lam, Xiao, Xiao

Understand

Consistency relations -- which relate an N-point function to a squeezed (N+1)-point function -- are useful in large scale structure (LSS) because of their non-perturbative nature: they hold even if the N-point function is deep in the nonlinear regime, and even if they involve astrophysically messy galaxy observables.

The non-perturbative nature of the consistency relations is guaranteed by the fact that they are symmetry statements, in which the velocity plays the role of the soft pion.
In this paper, we address two issues: (1) how to derive the relations systematically using the residual coordinate freedom in the Newtonian gauge, and relate them to known results in $\zeta$-gauge (often used in studies of inflation); (2) under what conditions the consistency relations are violated.
In the non-relativistic limit, our derivation reproduces the Newtonian consistency relation discovered by Kehagias \& Riotto and Peloso & Pietroni.

Built on

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 pp
Original
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.
S. Dubovsky, T. Gregoire, A. Nicolis and R. Rattazzi, “Null energy condition and superluminal propagation,” JHEP
2006
Earlier work this paper cites.
M. Crocce and R. Scoccimarro, “Renormalized cosmological perturbation theory,” Phys. Rev. D
2006
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.