Year: 2015
Type: article
Abstract: We derive novel identities satisfied by inflationary correlation functions in the limit where two external momenta are taken to be small. We derive these statements in two ways: using background-wave arguments and as Ward identities following from the fixed-time path integral. Interestingly, these identities allow us to constrain some of the ( q 2 ) components of the soft limit, in contrast to their single-soft analogues. We provide several nontrivial checks of our identities both in the context of resonant non-Gaussianities and in small sound speed models. Additionally, we extend the relation at lowest order in external momenta to arbitrarily many soft legs, and comment on the many-soft extension at higher orders in the soft momentum. Finally, we consider how higher soft limits lead to identities satisfied by correlation functions in large-scale structure.
Authors: Austin Joyce, Justin Khoury, Marko Simonović
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,290
Awards: Physics Frontier Center at the Kavli Institute for Cosmological Physics: Pushing Cosmology to the Edge, CAREER: The Fundamental Physics of The Invisible and The Very Early Universe, G6155511183, G6671297155, THE CENTRAL THEME OF THIS PROPOSAL IS THE DETAILED UNDERSTANDING OF THE NATURE OF THE DARK SECTOR THROUGH THE INEVITABLE INTERACTIONS BETWEEN ITS IND
OpenAlex ID: W2009737879