Primordial non-Gaussianities in single-field inflation
By David Seery, J. Lidsey. 2005
446 citations recorded by the source corpus.
We calculate the three-point function for primordial scalar fluctuations in a single-field inflationary scenario where the scalar field Lagrangian is a completely general function of the field and its first derivative. We obtain an explicit expression for the three-point correlation function in a self-consistent approximation scheme where the expansion rate varies slowly, analogous to the slow-roll limit in standard, single-field inflation. The three-point function can be written in terms of the familiar slow-roll parameters and three new parameters which measure the non-trivial kinetic structure of the scalar field, the departure of the speed of sound from the speed of light, and the rate of change of the speed of sound.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/aa4d2564393e410ba4824bd9154ef822958c5a10
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Citations in the corpus
- Rapidly-Varying Speed of Sound, Scale Invariance and Non-Gaussian Signatures (2008, methodology): “We now calculate the three-point function for the following general single scalar field model [26, 55]:”
- Primordial Non-Gaussianities from Inflation Models (2010, methodology): “It is useful to define several quantities that characterize the differential properties of P with respect to X [49, 72]:”
- Revisiting non-Gaussianity from non-attractor inflation models (2017, background): “The starting point is the cubic action for a general k-essence field in the comoving gauge [41, 42].”
- Inflation and String Theory (2014, unknown): “correspondingly small [121,122,264]: ∣∣f equil NL ∣∣ ∼ 1 c(2)s − 1 ≈ X Λ(4) + · · · 1 .”
- The phase transition to eternal inflation (2008, background): “In particular one can show that the effect of cubic and quartic interactions at horizon crossing with respect to the quadratic action is of order [27, 28, 29, 26]”
- Cosmology and Fundamental Physics with the Euclid Satellite (2012, background): “Furthermore, [354] showed that irrespective of slow-roll and of the particular inflaton Lagrangian or dynamics, in single-field inflation, or more generally when only adiabatic fluctuations are present, there exists a consistency relation involving the 3-point function of scalar perturbations in the”
- Phenomenology of a pseudo-scalar inflaton: naturally large nongaussianity (2011, methodology): “In the work [18], on the other hand, the no-go results of [20, 21, 22] are circumvented in a”
- Primordial non-Gaussianities from multiple-field inflation (2005, background): “In general, however, the superhorizon evolution of the curvature perturbation during single-field inflation is simple, and there is a robust prediction that the level of primordial non-gaussianity as measured by the three-point correlation function cannot be large [11], even allowing for exotic effe”
- Resonant non-gaussianity (2010, background): “1) where the expectation value is taken in the in-vacuum, and the interaction Hamiltonian HI was first worked out in [11] (see also [25,26]).”