59 research outputs found
Calculating the local-type fNL for slow-roll inflation with a non-vacuum initial state
Single-field slow-roll inflation with a non-vacuum initial state has an
enhanced bispectrum in the local limit. We numerically calculate the local-type
fNL signal in the CMB that would be measured for such models (including the
full transfer function and 2D projection). The nature of the result depends on
several parameters, including the occupation number N_k, the phase angle
\theta_k between the Bogoliubov parameters, and the slow-roll parameter
\epsilon. In the most conservative case, where one takes \theta_k \approx
\eta_0 k (justified by physical reasons discussed within) and \epsilon\lesssim
0.01, we find that 0 < fNL < 1.52 (\epsilon/0.01), which is likely too small to
be detected in the CMB. However, if one is willing to allow a constant value
for the phase angle \theta_k and N_k=O(1), fNL can be much larger and/or
negative (depending on the choice of \theta_k), e.g. fNL \approx 28
(\epsilon/0.01) or -6.4 (\epsilon/0.01); depending on \epsilon, these scenarios
could be detected by Planck or a future satellite. While we show that these
results are not actually a violation of the single-field consistency relation,
they do produce a value for fNL that is considerably larger than that usually
predicted from single-field inflation.Comment: 8 pages, 1 figure. v2: Version accepted for publication in PRD. Added
greatly expanded discussion of the phase angle \theta_k; this allows the
possibility of enhanced fNL, as mentioned in abstract. More explicit
comparisons with earlier wor
Inflation with General Initial Conditions for Scalar Perturbations
We explore the possibility of a single field quasi-de Sitter inflationary
model with general initial state for primordial fluctuations. In this paper,
first we compute the power spectrum and the bispectrum of scalar perturbations
with coherent state as the initial state. We find that a large class of
coherent states are indistinguishable from the Bunch-Davies vacuum state and
hence consistent with the current observations. In case of a more general
initial state built over Bunch-Davies vacuum state, we show that the
constraints on the initial state from observed power spectrum and local
bispectrum are relatively weak and for quasi-de Sitter inflation a large number
of initial states are consistent with the current observations. However,
renormalizability of the energy-momentum tensor of the fluctuations constraints
the initial state further.Comment: Updated to match published version, 20 page
Loop Quantum Gravity and the The Planck Regime of Cosmology
The very early universe provides the best arena we currently have to test
quantum gravity theories. The success of the inflationary paradigm in
accounting for the observed inhomogeneities in the cosmic microwave background
already illustrates this point to a certain extent because the paradigm is
based on quantum field theory on the curved cosmological space-times. However,
this analysis excludes the Planck era because the background space-time
satisfies Einstein's equations all the way back to the big bang singularity.
Using techniques from loop quantum gravity, the paradigm has now been extended
to a self-consistent theory from the Planck regime to the onset of inflation,
covering some 11 orders of magnitude in curvature. In addition, for a narrow
window of initial conditions, there are departures from the standard paradigm,
with novel effects, such as a modification of the consistency relation
involving the scalar and tensor power spectra and a new source for
non-Gaussianities. Thus, the genesis of the large scale structure of the
universe can be traced back to quantum gravity fluctuations \emph{in the Planck
regime}. This report provides a bird's eye view of these developments for the
general relativity community.Comment: 23 pages, 4 figures. Plenary talk at the Conference: Relativity and
Gravitation: 100 Years after Einstein in Prague. To appear in the Proceedings
to be published by Edition Open Access. Summarizes results that appeared in
journal articles [2-13
On Loops in Inflation II: IR Effects in Single Clock Inflation
In single clock models of inflation the coupling between modes of very
different scales does not have any significant dynamical effect during
inflation. It leads to interesting projection effects. Larger and smaller modes
change the relation between the scale a mode of interest will appear in the
post-inflationary universe and will also change the time of horizon crossing of
that mode. We argue that there are no infrared projection effects in physical
questions, that there are no effects from modes of longer wavelength than the
one of interest. These potential effects cancel when computing fluctuations as
a function of physically measurable scales. Modes on scales smaller than the
one of interest change the mapping between horizon crossing time and scale. The
correction to the mapping computed in the absence of fluctuations is enhanced
by a factor N_e, the number of e-folds of inflation between horizon crossing
and reheating. The new mapping is stochastic in nature but its variance is not
enhanced by N_e.Comment: 13 pages, 1 figure; v2: JHEP published version, added minor comments
and reference
Large non-Gaussian Halo Bias from Single Field Inflation
We calculate Large Scale Structure observables for non-Gaussianity arising
from non-Bunch-Davies initial states in single field inflation. These scenarios
can have substantial primordial non-Gaussianity from squeezed (but observable)
momentum configurations. They generate a term in the halo bias that may be more
strongly scale-dependent than the contribution from the local ansatz. We also
discuss theoretical considerations required to generate an observable
signature.Comment: 30 pages, 14 figures, typos corrected and minor changes to match
published version JCAP09(2012)00
On primordial trispectrum from exchanging scalar modes in general multiple field inflationary models
We make an complementary investigation of the primordial trispectrum from
exchanging intermediate scalar modes in multi-field inflation models with
generalized kinetic terms. Together with the calculation of irreducible
contributions to the primordial trispectrum in Ref.[103], we give the full
leading-order primordial trispectrum in generalized multi-field models.Comment: 15 pages, 1 figure; v2 references adde
Large slow-roll corrections to the bispectrum of noncanonical inflation
Nongaussian statistics are a powerful discriminant between inflationary
models, particularly those with noncanonical kinetic terms. Focusing on
theories where the Lagrangian is an arbitrary Lorentz-invariant function of a
scalar field and its first derivatives, we review and extend the calculation of
the observable three-point function. We compute the "next-order" slow-roll
corrections to the bispectrum in closed form, and obtain quantitative estimates
of their magnitude in DBI and power-law k-inflation. In the DBI case our
results enable us to estimate corrections from the shape of the potential and
the warp factor: these can be of order several tens of percent. We track the
possible sources of large logarithms which can spoil ordinary perturbation
theory, and use them to obtain a general formula for the scale dependence of
the bispectrum. Our result satisfies the next-order version of Maldacena's
consistency condition and an equivalent consistency condition for the scale
dependence. We identify a new bispectrum shape available at next-order, which
is similar to a shape encountered in Galileon models. If fNL is sufficiently
large this shape may be independently detectable.Comment: v1: 37 pages, plus tables, figures and appendices. v2: supersedes
version published in JCAP; some clarifications and more detailed comparison
with earlier literature. All results unchanged. v3:improvements to some
plots; text unchange
The (not so) squeezed limit of the primordial 3-point function
We prove that, in a generic single-field model, the consistency relation for
the 3-point function in the squeezed limit receives corrections that vanish
quadratically in the ratio of the momenta, i.e. as (k_L/k_S)^2. This implies
that a detection of a bispectrum signal going as 1/k_L^2 in the squeezed limit,
that is suppressed only by one power of k_L compared with the local shape,
would rule out all single-field models. The absence of this kind of terms in
the bispectrum holds also for multifield models, but only if all the fields
have a mass much smaller than H. The detection of any scale dependence of the
bias, for scales much larger than the size of the haloes, would disprove all
single-field models. We comment on the regime of squeezing that can be probed
by realistic surveys.Comment: 18 pages, 2 figures. v2: minor changes to match JCAP published
versio
On Soft Limits of Inflationary Correlation Functions
Soft limits of inflationary correlation functions are both observationally
relevant and theoretically robust. Various theorems can be proven about them
that are insensitive to detailed model-building assumptions. In this paper, we
re-derive several of these theorems in a universal way. Our method makes
manifest why soft limits are such an interesting probe of the spectrum of
additional light fields during inflation. We illustrate these abstract results
with a detailed case study of the soft limits of quasi-single-field inflation.Comment: 26 pages, 5 figures; V2: references added + pedagogical improvements
of Sec. 2 and App.
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