16 research outputs found
Non-linear Realizations of Conformal Symmetry and Effective Field Theory for the Pseudo-Conformal Universe
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.Comment: 49 pages. v2: minor corrections, added references. v3: minor edits,
version appearing in JCA
The Pseudo-Conformal Universe: Scale Invariance from Spontaneous Breaking of Conformal Symmetry
We present a novel theory of the very early universe which addresses the
traditional horizon and flatness problems of big bang cosmology and predicts a
scale invariant spectrum of perturbations. Unlike inflation, this scenario
requires no exponential accelerated expansion of space-time. Instead, the early
universe is described by a conformal field theory minimally coupled to gravity.
The conformal fields develop a time-dependent expectation value which breaks
the flat space so(4,2) conformal symmetry down to so(4,1), the symmetries of de
Sitter, giving perturbations a scale invariant spectrum. The solution is an
attractor, at least in the case of a single time-dependent field. Meanwhile,
the metric background remains approximately flat but slowly contracts, which
makes the universe increasingly flat, homogeneous and isotropic, akin to the
smoothing mechanism of ekpyrotic cosmology. Our scenario is very general,
requiring only a conformal field theory capable of developing the appropriate
time-dependent expectation values, and encompasses existing incarnations of
this idea, specifically the U(1) model of Rubakov and the Galileon Genesis
scenario. Its essential features depend only on the symmetry breaking pattern
and not on the details of the underlying lagrangian. It makes generic
observational predictions that make it potentially distinguishable from
standard inflation, in particular significant non-gaussianities and the absence
of primordial gravitational waves.Comment: 51 pages, 3 figures. v2 discussion and refs added, minus sign in
transformation laws fixed. Version appearing in JCA