Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 6, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1475-7516/2012/06/043
Keywords
alternatives to inflation; particle physics - cosmology connection; physics of the early universe; quantum field theory on curved space
Funding
- University of Pennsylvania
- NASA ATP [NNX11AI95G]
- Alfred P. Sloan Foundation
- Division Of Physics
- Direct For Mathematical & Physical Scien [1001296] Funding Source: National Science Foundation
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The pseudo-conformal scenario is an alternative to inflation in which the early universe is described by an approximate conformal field theory on flat, Minkowski space. Some fields acquire a time-dependent expectation value, which breaks the flat space so(4, 2) conformal algebra to its so(4, 1) de Sitter subalgebra. As a result, weight-0 fields acquire a scale invariant spectrum of perturbations. The scenario is very general, and its essential features are determined by the symmetry breaking pattern, irrespective of the details of the underlying microphysics. In this paper, we apply the well-known coset technique to derive the most general effective lagrangian describing the Goldstone field and matter fields, consistent with the assumed symmetries. The resulting action captures the low energy dynamics of any pseudo-conformal realization, including the U(1)-invariant quartic model and the Galilean Genesis scenario. We also derive this lagrangian using an alternative method of curvature invariants, consisting of writing down geometric scalars in terms of the conformal mode. Using this general effective action, we compute the two-point function for the Goldstone and a fiducial weight-0 field, as well as some sample three-point functions involving these fields.
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