An infinite set of Ward identities for adiabatic modes in cosmology

By Kurt Hinterbichler, L. Hui, J. Khoury. 2013

216 citations recorded by the source corpus.

We show that the correlation functions of any single-field cosmological model with constant growing-modes are constrained by an infinite number of novel consistency relations, which relate N+1-point correlation functions with a soft-momentum scalar or tensor mode to a symmetry transformation on N-point correlation functions of hard-momentum modes. We derive these consistency relations from Ward identities for an infinite tower of non-linearly realized global symmetries governing scalar and tensor perturbations. These symmetries can be labeled by an integer n. At each order n, the consistency relations constrain — completely for n = 0,1, and partially for n ⩾ 2 — the qn behavior of the soft limits. The identities at n = 0 recover Maldacena's original consistency relations for a soft scalar and tensor mode, n = 1 gives the recently-discovered conformal consistency relations, and the identities for n ⩾ 2 are new. As a check, we verify directly that the n = 2 identity is satisfied by known correlation functions in slow-roll inflation.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/5591ecb2eac04784534cd83c639d44a1a838b59d

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. D. Baumann
2. F. Vernizzi
3. Hayden Lee
4. E. Pajer
5. G. L. Pimentel
6. J. Gleyzes
7. P. Creminelli
8. M. Simonovi'c

In Nuclear and High Energy Physics

1. D. Baumann
2. F. Vernizzi
3. Hayden Lee
4. G. L. Pimentel
5. J. Gleyzes
6. E. Pajer
7. P. Creminelli
8. M. Simonovi'c

Citations in the corpus

• Non-Gaussianity as a particle detector (2016, background): “As in the case of the scalar bispectrum, the leading coefficients are determined by the singlefield consistency relation [12] (see also [41, 43]).”
• 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].”