Primordial scalar perturbations in tachyonic power-law inflation

TL;DR

This paper analyzes the primordial scalar perturbations in a tachyonic power-law inflation model, showing that the resulting power spectrum becomes scale-independent during highly accelerated inflation.

Contribution

It provides an explicit calculation of the power spectrum for a tachyonic inflaton with an inverse-square potential, highlighting scale invariance in accelerated regimes.

Findings

Power spectrum tends to be scale-independent during high acceleration

Inflation driven by a non-canonical tachyonic scalar field

Explicit background equations for inverse-square potential

Abstract

In this work we determine the power spectrum of the gravitational potential of the primordial fluctuations for an inflationary model whose \emph{inflaton} is a non-canonical scalar field of the tachyon-type. The respective background field equations for an inverse-square potential produce a power-law inflation, and it is explicitly shown that for such a potential the power spectrum tends to be scale-independent for highly accelerated regimes in the inflationary expansion.