On the tachyon inflation

TL;DR

This paper analyzes tachyon inflation, highlighting differences from ordinary scalar field inflation, and demonstrates through exact solutions and perturbation calculations that tachyon fields can produce sufficient inflation.

Contribution

It provides a detailed calculation of scalar and tensor perturbations in tachyon inflation and introduces an exact solution with inverse squared potential.

Findings

Tachyon inflation can produce enough inflation via the Hamilton-Jacobi approach.

An exact solution with inverse squared potential is proposed and analyzed.

Power spectra of the tachyon inflation model are computed.

Abstract

Although the formulas of tachyon inflation correspond to those of the inflation driven by the ordinary scalar field, there is obvious difference between them, which can not be neglected. We calculate the scalar and tensor perturbation of the string theory inspired tachyon inflation, which has been widely studied recently. We also show, through the Hamilton-Jacobi approach, that the the rolling tachyon can essentially produce enough inflation. An exact solution with the inverse squared potential of tachyon field has been proposed and its power spectra has been analyzed.