Scientific article
English

Equal-time consistency relations in the large-scale structure of the universe

Published inModern physics letters A, vol. 29, no. 1450152, 14
Publication date2014
Abstract

Consistency relations involving the soft limit of the (n + 1)-correlator functions of dark matter and galaxy overdensities have been recently obtained, thanks to the symmetries enjoyed by the Newtonian equations of motion describing the dark matter and galaxy fluids coupled through gravity. Via an appropriate change of coordinates, the symmetries allow to go to a frame where the zero mode and the first spatial gradient of the long and linear wavelength mode of the gravitational potential have been removed. In such a case, the response of the system on short scales is a uniform displacement leading to the vanishing of the correlators in the soft limit at the equal-time. In this paper, we show that equal-time consistency relations involving the soft limit of the (n + 1)-correlator functions of dark matter can be obtained if there is a well-defined relation between the linear growth factor D(a) and the abundance of dark matter Ω, dlnD(a)/dlna=Ωm1/2 . We also discuss the consequences of the consistency relations for the halo model.

Keywords
  • Bispectrum
  • N-point correlation functions
  • Consistency relation
Citation (ISO format)
KECHAGIAS, Alexandros, PERRIER, Hideki, RIOTTO, Antonio Walter. Equal-time consistency relations in the large-scale structure of the universe. In: Modern physics letters A, 2014, vol. 29, n° 1450152, p. 14. doi: 10.1142/S0217732314501521
Main files (1)
Article (Accepted version)
accessLevelRestricted
Identifiers
Journal ISSN0217-7323
585views
0downloads

Technical informations

Creation03/10/2014 16:19:00
First validation03/10/2014 16:19:00
Update time14/03/2023 22:49:15
Status update14/03/2023 22:49:15
Last indexation30/10/2024 21:13:51
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack