Consequences of Symmetries and Consistency Relations in the Large-Scale Structure of the Universe for Non-local bias and Modified Gravity - INSPIRE

DataBETA

Consequences of Symmetries and Consistency Relations in the Large-Scale Structure of the Universe for Non-local bias and Modified Gravity

Alexandros Kehagias
(
)
,
Jorge Noreña
(
- Geneva U., Dept. Theor. Phys. and
- Geneva U., CAP
)
,
Hideki Perrier
(
- Geneva U., Dept. Theor. Phys. and
- Geneva U., CAP
)
,
Antonio Riotto
(
- Geneva U., Dept. Theor. Phys. and
- Geneva U., CAP
)

Nov 4, 2013

24 pages

Published in:

Nucl.Phys.B 883 (2014) 83-106

Published: Jun, 2014

e-Print:

1311.0786 [astro-ph.CO]

DOI:

10.1016/j.nuclphysb.2014.03.020

View in:

reference search66 citations

Citations per year

Abstract: (Elsevier)

Consistency relations involving the soft limit of the (n+1) -correlation functions of dark matter and galaxy overdensities can be obtained, both in real and redshift space, thanks to the symmetries enjoyed by the Newtonian equations of motion describing the dark matter and galaxy fluids coupled through gravity. We study the implications of such symmetries for the theory of galaxy bias and for the theories of modified gravity. We find that the invariance of the fluid equations under a coordinate transformation that induces a long-wavelength velocity constrains the bias to depend only on a set of invariants, while the symmetry of such equations under Lifshitz scalings in the case of matter domination allows one to compute the time-dependence of the coefficients in the bias expansion. We also find that theories of modified gravity which violate the equivalence principle induce a violation of the consistency relation which may be a signature for their observation. Thus, given adiabatic Gaussian initial conditions, the observation of a deviation from the consistency relation for galaxies would signal a breakdown of the so-called non-local Eulerian bias model or the violation of the equivalence principle in the underlying theory of gravity.

Note:

29 pages, 1 figure

gravitation: model
equivalence principle: violation
scaling: Lifshitz
fluid: coupling
galaxy
dark matter: density
dark matter
fluid
boundary condition
time dependence

References(51)

Figures(1)

[1]

Particle physics models of inflation and the cosmological density perturbation

David H. Lyth
(
- Lancaster U.
)
,
Antonio Riotto
(
- CERN
)

- Phys.Rept. 314 (1999) 1-146
•
e-Print:
- hep-ph/9807278
•
DOI:
- 10.1016/S0370-1573(98)00128-8

[2]

Conformal Invariance, Dark Energy, and CMB Non-Gaussianity

Ignatios Antoniadis
(
- CERN
)
,
Pawel O. Mazur
(
- South Carolina U.
)
,
Emil Mottola
(
- Los Alamos
)

- JCAP 09 (2012) 024
•
e-Print:
- 1103.4164
•
DOI:
- 10.1088/1475-7516/2012/09/024

[3]

On graviton non-Gaussianities during inflation

- JHEP 09 (2011) 045
•
e-Print:
- 1104.2846
•
DOI:
- 10.1007/JHEP09(2011)045

[4]

Conformal invariance of scalar perturbations in inflation

Paolo Creminelli
(
- ICTP, Trieste
)

- Phys.Rev.D 85 (2012) 041302
•
e-Print:
- 1108.0874
•
DOI:
- 10.1103/PhysRevD.85.041302

[5]

Operator Product Expansion of Inflationary Correlators and Conformal Symmetry of de Sitter

A. Kehagias
(
- Natl. Tech. U., Athens
)
,
A. Riotto
(
- Geneva U., CAP
)

- Nucl.Phys.B 864 (2012) 492-529
•
e-Print:
- 1205.1523
•
DOI:
- 10.1016/j.nuclphysb.2012.07.004

[6]

The Four-point Correlator in Multifield Inflation, the Operator Product Expansion and the Symmetries of de Sitter

A. Kehagias
(
- Natl. Tech. U., Athens
)
,
A. Riotto
(
- Geneva U., Dept. Theor. Phys. and
- Geneva U., CAP
)

- Nucl.Phys.B 868 (2013) 577-595
•
e-Print:
- 1210.1918
•
DOI:
- 10.1016/j.nuclphysb.2012.11.025

[7]

Symmetries of Vector Perturbations during the de Sitter Epoch

M. Biagetti
(
- Geneva U., CAP and
- Geneva U., Dept. Theor. Phys.
)
,
A. Kehagias
(
- Natl. Tech. U., Athens
)
,
E. Morgante
(
- Geneva U., Dept. Theor. Phys. and
- Geneva U., CAP
)
,
H. Perrier
(
- Geneva U., Dept. Theor. Phys. and
- Geneva U., CAP
)
,
A. Riotto
(
- Geneva U., CAP and
- Geneva U., Dept. Theor. Phys.
)

- JCAP 07 (2013) 030
•
e-Print:
- 1304.7785
•
DOI:
- 10.1088/1475-7516/2013/07/030

[8]

Conformal consistency relations for single-field inflation

- JCAP 07 (2012) 052
•
e-Print:
- 1203.4595
•
DOI:
- 10.1088/1475-7516/2012/07/052

[9]

Conformal Symmetries of Adiabatic Modes in Cosmology

Kurt Hinterbichler
(
- Pennsylvania U.
)
,
Lam Hui
(
- Columbia U. and
- ISCAP, New York
)
,
Justin Khoury
(
- Pennsylvania U.
)

- JCAP 08 (2012) 017
•
e-Print:
- 1203.6351
•
DOI:
- 10.1088/1475-7516/2012/08/017

[10]

On Soft Limits of Inflationary Correlation Functions

- JCAP 11 (2012) 047
•
e-Print:
- 1204.4207
•
DOI:
- 10.1088/1475-7516/2012/11/047

[11]

Symmetries and Loops in Inflation

Valentin Assassi
(
- Cambridge U., DAMTP
)
,
Daniel Baumann
(
- Cambridge U., DAMTP
)
,
Daniel Green
(
- Stanford U., ITP and
- KIPAC, Menlo Park
)

- JHEP 02 (2013) 151
•
e-Print:
- 1210.7792
•
DOI:
- 10.1007/JHEP02(2013)151

[12]

Holography for inflation using conformal perturbation theory

Adam Bzowski
(
- Southampton U. and
- Amsterdam U., Inst. Math.
)
,
Paul McFadden
(
- Perimeter Inst. Theor. Phys.
)
,
Kostas Skenderis
(
- Southampton U. and
- Amsterdam U., Inst. Math. and
- Amsterdam U.
)

- JHEP 04 (2013) 047
•
e-Print:
- 1211.4550
•
DOI:
- 10.1007/JHEP04(2013)047

[13]

CMB from CFT

- JHEP 07 (2013) 015
•
e-Print:
- 1211.5482
•
DOI:
- 10.1007/JHEP07(2013)015

[14]

An Infinite Set of Ward Identities for Adiabatic Modes in Cosmology

Kurt Hinterbichler
(
- Perimeter Inst. Theor. Phys.
)
,
Lam Hui
(
- ISCAP, New York and
- Columbia U.
)
,
Justin Khoury
(
- Pennsylvania U.
)

- JCAP 01 (2014) 039
•
e-Print:
- 1304.5527
•
DOI:
- 10.1088/1475-7516/2014/01/039

[15]

Slavnov-Taylor Identities for Primordial Perturbations

Lasha Berezhiani
(
- Pennsylvania U.
)
,
Justin Khoury
(
- Pennsylvania U.
)

- JCAP 02 (2014) 003
•
e-Print:
- 1309.4461
•
DOI:
- 10.1088/1475-7516/2014/02/003

[16]

Symmetries and Consistency Relations in the Large Scale Structure of the Universe

A. Kehagias
(
- Natl. Tech. U., Athens
)
,
A. Riotto
(
- Geneva U., CAP
)

- Nucl.Phys.B 873 (2013) 514-529
•
e-Print:
- 1302.0130
•
DOI:
- 10.1016/j.nuclphysb.2013.05.009

[17]

Galilean invariance and the consistency relation for the nonlinear squeezed bispectrum of large scale structure

Marco Peloso
(
- Minnesota U. and
- INFN, Padua
)
,
Massimo Pietroni
(
- INFN, Padua
)

- JCAP 05 (2013) 031
•
e-Print:
- 1302.0223
•
DOI:
- 10.1088/1475-7516/2013/05/031

[18]

Single-Field Consistency Relations of Large Scale Structure

Paolo Creminelli
(
- ICTP, Trieste
)
,
Jorge Noreña
(
- ICC, Barcelona U.
)
,
Marko Simonović
(
- SISSA, Trieste and
- INFN, Trieste
)
,
Filippo Vernizzi
(
- IPhT, Saclay
)

- JCAP 12 (2013) 025
•
e-Print:
- 1309.3557
•
DOI:
- 10.1088/1475-7516/2013/12/025

[19]

Conformal Symmetries of FRW Accelerating Cosmologies

A. Kehagias
(
)
,
A. Riotto
(
- Geneva U., Dept. Theor. Phys. and
- Geneva U., CAP
)

- Nucl.Phys.B 884 (2014) 547-565
•
e-Print:
- 1309.3671
•
DOI:
- 10.1016/j.nuclphysb.2014.05.006

[20]

J.N. Fry

- Astrophys.J.Lett. 461 (1996) 65

[21]

Loop corrections in nonlinear cosmological perturbation theory

Roman Scoccimarro
(
- Chicago U., EFI and
- Fermilab
)
,
Joshua Frieman
(
- Fermilab and
- Chicago U., Astron. Astrophys. Ctr.
)

- Astrophys.J.Suppl. 105 (1996) 37
•
e-Print:
- astro-ph/9509047
•
DOI:
- 10.1086/192306

[22]

Biasing and hierarchical statistics in large scale structure

James N. Fry
(
- Fermilab
)
,
Enrique Gaztanaga
(
- Fermilab
)

- Astrophys.J. 413 (1993) 447-452
•
e-Print:
- astro-ph/9302009
•
DOI:
- 10.1086/173015

[23]

Clustering of dark matter tracers: generalizing bias for the coming era of precision LSS

- JCAP 08 (2009) 020
•
e-Print:
- 0902.0991
•
DOI:
- 10.1088/1475-7516/2009/08/020

[24]

Baryon acoustic signature in the clustering of density maxima

Vincent Desjacques
(
- Zurich U.
)

- Phys.Rev.D 78 (2008) 103503
•
e-Print:
- 0806.0007
•
DOI:
- 10.1103/PhysRevD.78.103503

[25]

Nonlinear Perturbation Theory Integrated with Nonlocal Bias, Redshift-space Distortions, and Primordial Non-Gaussianity

Takahiko Matsubara
(
- KMI, Nagoya and
- Nagoya U.
)

- Phys.Rev.D 83 (2011) 083518
•
e-Print:
- 1102.4619
•
DOI:
- 10.1103/PhysRevD.83.083518

1-25 of 51
1
2
3
25 / page