Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 1, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1475-7516/2014/01/039
Keywords
cosmological perturbation theory; physics of the early universe
Funding
- DOE [DE-FG02-92-ER40699]
- NASA ATP grant [NNX10AN14G, NNX11AI95G]
- Alfred P. Sloan Foundation
- NSF CAREER Award [PHY-1145525]
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Economic Development and Innovation
- John Templeton Foundation
- Direct For Mathematical & Physical Scien
- Division Of Physics [1001296] Funding Source: National Science Foundation
- Division Of Physics
- Direct For Mathematical & Physical Scien [1145525] Funding Source: National Science Foundation
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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 AT-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 cart 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 q(n) 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.
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