2010

Galilean symmetry in the effective theory of inflation: new shapes of non-Gaussianity

Creminelli, Paolo, D'Amico, Guido, Musso, Marcello et al.

Understand

We study the consequences of imposing an approximate Galilean symmetry on the Effective Theory of Inflation, the theory of small perturbations around the inflationary background.

This approach allows us to study the effect of operators with two derivatives on each field, which can be the leading interactions due to non-renormalization properties of the Galilean Lagrangian.
In this case cubic non-Gaussianities are given by three independent operators, containing up to six derivatives, two with a shape close to equilateral and one peaking on flattened isosceles triangles.
The four-point function is larger than in models with small speed of sound and potentially observable with the Planck satellite.

Built on

J. Z. Simon, “Higher derivative Lagrangians, nonlocality, problems and solutions,” Phys. Rev. D
1990
Earlier work this paper cites.
J. Z. Simon, “The Stability of flat space, semiclassical gravity, and higher derivatives,” Phys. Rev. D
1991
Earlier work this paper cites.
P. Catelan, F. Lucchin, S. Matarrese
1998
Earlier work this paper cites.
L. -M. Wang, M. Kamionkowski, “The Cosmic microwave background bispectrum and inflation,” Phys. Rev
2000
Earlier work this paper cites.
M. A. Luty, M. Porrati and R. Rattazzi, “Strong interactions and stability in the DGP model,” JHEP
2003
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.
M. Alishahiha, E. Silverstein and D. Tong, “DBI in the sky,” Phys. Rev. D
2004
Earlier work this paper cites.
D. Babich, P. Creminelli and M. Zaldarriaga, “The shape of non-Gaussianities,” JCAP
2004
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.

Similar

S. Weinberg, “Quantum contributions to cosmological correlations,” Phys. Rev. D
2005
Cited alongside, same era.
P. Creminelli, M. A. Luty, A. Nicolis and L. Senatore, “Starting the universe: Stable violation of the null energy condition and non-standard cosmologies,” JHEP
2006
Cited alongside, same era.
P. Creminelli, A. Nicolis, L. Senatore, M. Tegmark and M. Zaldarriaga, “Limits on non-Gaussianities from WMAP data,” JCAP
2006
Cited alongside, same era.
X. Chen, M. x. Huang, S. Kachru and G. Shiu, “Observational signatures and non-Gaussianities of general single field inflation,” JCAP
2007
Cited alongside, same era.
C. Cheung, P. Creminelli, A. L. Fitzpatrick, J. Kaplan and L. Senatore, “The Effective Field Theory of Inflation,” JHEP
Original
2008
Cited alongside, same era.
N. Dalal, O. Dore, D. Huterer
Original
2008
Cited alongside, same era.
D. Langlois, S. Renaux-Petel, D. A. Steer and T. Tanaka, “Primordial perturbations and non-Gaussianities in DBI and general multi-field inflation,” Phys. Rev. D
Original
2008
Cited alongside, same era.
A. Slosar, C. Hirata, U. Seljak
Original
2008
Cited alongside, same era.
C. Burrage, C. de Rham, D. Seery and A. J. Tolley, “Galileon inflation,” arXiv:1009.2497 [hep-th]
Original
Cited in the paper.
T. Kobayashi, M. Yamaguchi and J. Yokoyama, “G-inflation: inflation driven by the Galileon field,” arXiv:1008.0603 [hep-th]
Original
Cited in the paper.
S. Mizuno and K. Koyama, “Primordial non-Gaussianity from the DBI Galileons,” arXiv:1009.0677 [hep-th]
Original
Cited in the paper.
P. Creminelli and A. Nicolis, “On the validity of derivatively coupled theories", in preparation
Cited in the paper.

Then

A. Nicolis, R. Rattazzi and E. Trincherini, “The galileon as a local modification of gravity,” Phys. Rev. D
Original
2009
Later among the works it cites.
C. Deffayet, G. Esposito-Farese and A. Vikman, “Covariant Galileon,” Phys. Rev. D
Original
2009
Later among the works it cites.
P. D. Meerburg, J. P. van der Schaar, P. S. Corasaniti, “Signatures of Initial State Modifications on Bispectrum Statistics,” JCAP
Original
2009
Later among the works it cites.
L. Verde and S. Matarrese, “Detectability of the effect of Inflationary non-Gaussianity on halo bias,” Astrophys. J
Original
2009
Later among the works it cites.
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
Original
2010
Closest in time.
N. Bartolo, M. Fasiello, S. Matarrese and A. Riotto, “Large non-Gaussianities in the Effective Field Theory Approach to Single-Field Inflation: the Bispectrum,” JCAP
Original
2010
Closest in time.
N. Bartolo, M. Fasiello, S. Matarrese and A. Riotto, “Large non-Gaussianities in the Effective Field Theory Approach to Single-Field Inflation: the Trispectrum,” JCAP
Original
2010
Closest in time.
L. Senatore and M. Zaldarriaga, “The Effective Field Theory of Multifield Inflation,” arXiv:1009.2093 [hep-th]
Original
2093
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…