Single field consistency relation for the 3-point function

By P. Creminelli, M. Zaldarriaga. 2004

634 citations recorded by the source corpus.

We point out the existence of a consistency relation involving the 3-point function of scalar perturbations which is valid in any inflationary model, independently of the inflaton Lagrangian under the assumption that the inflaton is the only dynamical field. The 3-point function in the limit in which one of the momenta is much smaller than the other two is fixed in terms of the power spectrum and its tilt. This relation, although very hard to verify experimentally, could be easily proved wrong by forecoming data, thus ruling out any scenario with a single dynamical field in a model independent way.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/becbb52e8ab4329d4d18544f558b95f1c253947e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. L. Senatore
2. M. Zaldarriaga
3. D. Baumann
4. Xingang Chen
5. D. Green
6. M. White
7. Uros Seljak
8. Andrey V. Kravtsov

In Nuclear and High Energy Physics

1. D. Baumann
2. L. Senatore
3. M. Zaldarriaga
4. Xingang Chen
5. D. Green
6. E. Pajer
7. F. Vernizzi
8. Liam McAllister

Citations in the corpus

• CMB-S4 Science Case, Reference Design, and Project Plan (2019, background): “A significant detection of this shape would rule out all models of single-clock inflation [109].”
• Revisiting non-Gaussianity from non-attractor inflation models (2017, background): “Remarkably, there is a consistency relation for non-Gaussianity in single-field slow-roll inflation models pointed out by Maldacena [14, 15].”
• On soft limits of inflationary correlation functions (2012, methodology): “2 Soft limits: methodology We now derive the soft limits of QSFI in a style that will be familiar to cosmologists [4].”
• 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].”
• Galileon inflation (2010, background): “[29] J. M. Maldacena, JHEP, 05, 013 (2003), arXiv:astro-ph/0210603.”