Small field models and Gravitational waves - a numerical precursor
I will first present in broad strokes the numerical package employed, and discuss regression tests to fully analytical cosmological models.
I will then go on to present the early work done on the subject of small-scale 5th degree polynomial models,
which were first suggested by Ben-Dayan et al. in 2010. These models successfully yield an inflationary scenario with a
non-negligible nrun, and r as high as 0.001. This work demonstrates the need for high accuracy numerical tools in the field of
cosmological model building. I will continue to present the ongoing work (about to publish late August/early September)
which studies models with r as high as 0.05. These models present in addition to significant running, significant running of running.
I will present the analysis of CMB data which takes into account nrun,run, along the same outline as the one done by Cabass et al. .
I will then demonstrate using this data to recover a most probable 6th degree polynomial inflationary potential.
Gravitational waves from small field models - preferred potentials for r=0.05.
Recent and future developments, in CMB detectors as well as data analysis, hint at the real possibility of picking up a
significant Gravitational Wave (GW) signal. Along with the LIGO experiment and the renewed interest in LISA we can
expect to find better bounds on the Tensor-to-Scalar ratio (r ). In anticipation of this new data, we present small field
models which can yield r as high as r=0.05, while conforming to most probable CMB observables values such as the
scalar index, its running etc.
We present a new numerical package, that simulates the Primordial Power Spectrum (PPS), given an inflationary
potential. This package enables us to study large samples of inflationary potentials, and to yield most probable
candidates, given the available CMB data. We present our small field models, and show they yield CMB observables
that fit the most probable results to date. We additionally demonstrate no fine-tuning is called for. As such, we show
these models to be a competitive alternative to the currently favoured large field models.
Small field models GW in theory and practice - disproving and reviving the theory
Over the last 30 years or so, analytical tools and semi-analytical approximations have been used to assess the Primordial Power Spectrum (PPS),
given an inflationary potential. While even 20 years ago it was noted by cosmologists that these tools are largly imprecise, the community at large
still uses these to this day. Furthermore these tools are used to compare the results inflationary models to observable quantities, now measured
at high precision largely owed to the Planck mission. The nature of this disparity is shown to be upwards of 1% in scalar index, and the source of these
errors is studied. The process of constructing small field models which prodcue high GW signal is thus shown to be invalid. However whn a newer,
numerically substantiated process is used, these models become viable and even likely again.